Classification Question for SSC

Classification Question for SSC

Classification Question for SSC/BANK/IBPS PO and government exam preparation.

As we know, Classification means to assort or classify the items of a given group on the basis of certain quality and then spot out the stranger or odd one.

In this type of questions, you will have certain items of a group,out of which except one all will be similar. we have to identify the odd one item which does not have the same similarity as others.

TYPE 1: Choosing the Odd Word.

Ex 1. Carrot Radish Potato Tomato Ginger

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Answer-Tomato(as except tomato all vegetable are grown under the surface of the soil)

Ex 2. Eye Tongue Nails Ear Nose

Answer-Nails(as except nails all are sense organs)

Ex 3. Trouser Pent Legging Skirt Shorts

Ex 4. Ostrich Kiwi Penguin Sparrow Emu

Ex 5. Sun Tree River Mountain Glacier

Ex 6. Keyboard Mouse Scanner Speaker Light Pen

Ex 7. Cube Circle Rectangle Square Triangle

Ex 8. Armour Ring Bangle Bracelet Anklet

Ex 9. April January March July May

Ex 10. Cycle Car Bus Scooter Auto

Previous year Questions-

Q1. Night Morning Noon Evening                                                                                  (SSC CGL Tier-I 2015)

Q2. Century Decadent Year Month                                                                              (SSC CGL Tier-I 2014)

Q3. Heap Heed Lead Head                                                                                               (SSC CGL Tier-I 2013)

Q4. Botany English Physics Chemistry                                                                      (SSC CGL Tier-I 2012)

TYPE 2:  Choosing the odd pair of words.

Ex 11. Glass-Water Cup-Tea Ink-pot-Ink Bat-Ball

Ex 12. Big-Small Hard-Soft Sweet-sour Pointed-Blunt

Ex 13. Horse-mare Dog-Puppy Cat-Kitten Cow-Calf

Ex 14. Wood-Chair Steel-Utensils Milk-Butter Water-Oxygen

Classification Question for SSC

Previous year Questions

Q 5. Time:Seconds Pressure:Barometer Length-Meter Volume :Liter

(SSC CGL Tier-I 2013)

Q 6. Debit-Credit Profit-Gain Income-Expenditure assets-Liabilities                                                          Best Books for Competitive exam preparation.                                                                                                                                                                                                          (FCI Assistant Grade-II)

Q 7. Mother-Daughter Uncle-Nephew Father-Son Brother-Sister

(SSC CML 2002)

Q 8. Leather-Footwear Wood-Furniture Earthen Pots-Clay Gold-Ornaments None                                                                                                                                                                                                 (SBI PO 2001)

TYPE 3:  Choosing the Odd Numeral

Ex 15. 17 51 85 119 136

Ex 16. 8214 7503 4164 7610

Ex 17.  125 64 216 29 8

Ex 18.   522 325 215 815 623

Q 9. 29 85 147 125 53                                                                                                           (RBI Grade-B Officer)

Q10. 162 405 567 644                                                                                                          (SSC CGL Tier-I 2011)

Previous year Questions

Q11. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group.Which is the one that does not belong to that group?

a) 169                    b) 225                  c) 289                   d) 441                          e) 255

                                                                                                                                                                       (SBI PO Tier-I 2008)

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Q12. 5061 4025 7202 6023                                                                                                (SSC CGL Tier-I 2015)

TYPE 4: Choosing the ODD Numeral Pair/Group

Ex-19. 11-4 3-6 7-9 2-4

Ex-20. 8-56 28-4 9-72 14-98

Classification Question for SSC

Previous year Questions

Q13. 31-64 26-48 43-65 34-56                                                                                           (SSC Assistant 2012)

Q14. 14-16 56-64 77-88 80-93                                                                                           (SSC CGL Tier-I 2014)

Q15. 140-45 120-35 110-35 80-25                                                                                               (LIC AAO 2009)

TYPE 5: Choosing the ODD Letter Group

Ex-21 XaD LoR BeG RuY

Ex-22 AZD JQM DWF GTJ

Previous year Questions

Q16 HK BD FI MP SV                                                                                                                      (BOM PO 2008)

Q17. GFHJ CBEF EDGH IHKL                                                                                         (SSC CGL Tier-I 2015)

Q18.Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to the group?                                                                                               (CBI PO 2010)

a) LOJ               b) FID            c) RUP                 d) ILN                 e) CFA

Q19. LNOR TRPS CEFI GIJM                                                                                        (SSC CGL Tier-I 2014)

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Q20. Four of the following five are alike in a certain way and hence from a group. Which is the one that does not belong to the group?                                                                                      (SBI SO 2014)

a) PTSQ                 b) UYXV                 c) INMJ                   d) KONL                        e) DHGE

Classification Answer Sheet

Type -I

Ex-1 Tomato                         Ex-2 Nails                        Ex-3 Skirt                          Ex-4 Sparrow

Ex-5 Sun                               Ex-6. Speaker                  Ex-7. Cube                         Ex-8. Anklet

Ex-9  April                            Ex-10 Cycle                      Q1. Noon                            Q2. Decadent

Q3. Heed                               Q4. English

Type-2

Ex-11 Bat Ball                      Ex-12 Pointed-Blunt         Ex-13 Horse-Mare           Ex-14 Water-Oxygen

Q5. Pressure-Barometer                 Q6. Profit-Gain                         Q7. Brother-Sister

Q8. Earthen Pot-Clay

Type-3

Ex-15  136                               Ex-16  7610                            Ex-17 29                           Ex-18  623

Q9.   125                                  Q10. 644                                Q11. (e) 255                      Q12. 5061

Type-4

Ex-19  2-4                                Ex-20. 9-72                           Q13 31-64                          Q14 80-93

Q15 110-35                               Q16 BD

TYPE 5:

Ex 21. RuY                               Ex-22 DWF                             Q17. GFHJ                        Q18. ILN

Q19. CEFI                                 Q20. (c)

Analogy Questions for SSC

Analogy Questions for SSC 

Analogy Questions for SSC 

in Analogy Questions for SSC , a particular relationship is given and we have to identified another similar relationship from the given alternatives provided. Analogy means correspondence and partial similarity. There are so many types of questions of Analogy.

Type I:

Q1. Doctor : Nurse :: ? : Follower (Bank PO 1996)

1) Employer     2) Leader            3) Worker               4) Manager           5) Union

Q2. Tumbler : Empty :: Seat : ?                                                                               (Syndicate Bank PO 2010)

1) Occupied      2) Person           3) Chair                  4) Sitting                5) vacant

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Q3. Nail is related to Nail Cutter in the same way as ‘Hair’ is related to _ .                  (CBI PO 2010)

1) Oil                 2) Comb              3) Scissors             4) Haircut               5) Color

Q4. Army is related to ‘Land’  in the same way as ‘Navy’ is related to ? (Syndicate Bank PO 2010)

1) Ships            2) Battle               3) Water              4) Admiral               5) Defense

Q5. Which of the following has the same relationship as that of Money: Wealth?

(RBI Grade-B Officer 2011)

  1. Pity : Kindness
  2. Cruel : Anger
  3. Wise : Education
  4. Pride : Humility
  5. None of these

Q6. Gram is related to Mass in the same way as ‘Centimeter is related to _?

(Andhra Bank PO 2009)

1) Area                2) Volume               3) Length                  4) Sound                     5) Energy

Q7. Island is related to ‘Sea’ in the same way as an ‘Oasis’ is related to _?                       (BOM 2010)

1) Water              2) Illusion              3) Pond                       4) Trees                       5) Desert

Q8. Hematology : Blood :: Physiology : ?                                                                                (SSC CGL 2015)

1) Diseases         2) Fungi                  3) Fishes                     4) Algae

Q9. Garbage : House :: Gangue : ?                                                                                (SSC CGL Tier-I 2015)

1) Ore                  2) Drugs                 3) Factory                   4) Office

Analogy Questions for SSC CGL/ IBPS SO

Q10. Waitress : Restaurant :: ?                                                                                     (SSC CGL Tier-1 2014)

  1. Doctor : Nurse
  2. Driver : School
  3. Teacher : School
  4. Actor : Role

Q11. Book : Paper :: Bread : ?                                                                                           (SSC CGL Tier-I 2015)

  1. Flour
  2. Biscuit
  3. Cake
  4. Butter

Q12. Voyage : Sea Sickness : Heights : ? (SSC CGL Tier -I 2014)

1) Ship                        2) Travel                            3) Giddiness                   4) Motion

Type II:

Q13. The set which resembles the given set 1,5,12 is-                                            (SSC CGL Tier-I 2014)

1) 7, 11, 35                  2) 4, 8, 24                        3) 10,14, 44                    4) 9, 13, 42

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Q14. Given Set: (4, 9, 25)                                                                                                 (SSC CML (Pre) 2000)

1) 4, 25, 36                2) 9, 16, 25                        3) 4, 16, 36                     4) 9, 25, 49

Q15. Given Set: (8, 56, 72)                                                                                                (SSC CGL Tier-1 2011)

1) 7,56,63                   2) 3,15,24                         3) 6,42,54                       4) 5,30,35

Q16.  Given Set: (246, 257, 358)                                                                      (Oriental Insurance AO 2010)

1) 233,343,345           2) 273, 365, 367             3) 143,226,237              4) 145,235,325

Q17. Given Set (91, 77,143)

1) 109,99,119             2) 117,63,187               3) 119,99,187                   4) 167,121,127

Type III:

Q18. 12 : 5  ::  ? : 27                                                                                   (Oriental Insurance Company 2012)

1) 78                      2) 81                       3) 83                   4) 87

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Q19. 12 : 72 :: 8 : ?                                                                                                                 (SSC CGL Tier-1 2015)

1) 36                      2) 38                      3) 40                    4) 32

Q 20. 8: 256 :: ?                                                                                                                                  (SSC CGL 2014)

1) 7 : 343               2) 9: 243               3) 10: 500            4) 5:75

Type IV:

Q21. JOKE : GLHB  ::  RISK : ?                                                                                       (SSC CGL Tier -1 2015)

1) OFPH                2) SJTL                3) ULVN               4) QHRJ

Q22. TRAVEL : UDKUSB

        CORNER : MDQDPS

‘SURVEY’ is related to _?                                                                                                                (IBPS SO 2013)

1) UDXSTV                   2) UXDTSV                3) TVSUDX               4) UDXTVS                 5) UDXVTS

Q23.  TRAVEL : UDKUSB

        CORNER : MDQDPS

‘GROUPS’ is related to _?                                                                                                               (IBPS SO 2013)

1) TORHSP                 2) TOHRSP             3) TORPHS               4) ROTHSP                              5) ROTPHS

Q24. ‘FLOP’ is related to ‘OPFL’ and ‘SECOND’ is related to ‘ONDSEC’. Then find who is related to ‘MIXTURE’?                                                                                                                                      (BOI PO 2010)

1) TUREMIX             2) UREMIXT           3) URETMIX           4)cannot be determined          5) none of these

Q25. EARN is related to RANE and BOND is related to NODB in the same way as TEAR is related ?                                                                                                                                                 (SBI PO (Tier-I) 2008)

1) AERT            2) ATRE          3) ARET           4) REAT                      5) None of these

TYPE V :

Q26.  Prides of Lions :: ___ of Cats                                                                              (SSC CGL Tier-I 2015)

1) Bunch           2) Herd          3) School            4) Clowder

Q27. F : 216 :: L : ?                                                                                                                (SSC CGL Tier-1 2013)

1) 1723             2) 1728           3)1700                  4)1600

Q28. IC : 6 :: DP : ?                                                                                                                (SSC CGL Tier-I 2011)

1) 14           2) 10         3) 12              4) 16

Answer Key-

 

1. Leader               2. Vacant              3. Scissors              4. Water              5. 1                6. 3             7. Desert                8. Algae                9.Ore                        10. 3                      11. 1               12. 3                             13. 2                         14. 1                       15. 3                           16. 2                      17. 3              18. 1                             19. 4                         20.4                      21. 1                            22. 4                     23. 1              24. 3                           25. 1                         26. 4                      27. 2                          28. 3

Ratio and Proportion Questions for SSC

Ratio and Proportion Questions for SSC

Ratio and Proportion Questions for SSC CGL BANK POO SO and other government exam.

Ratio : The ratio of a to b is a fraction a/b and is written as a:b

Note: the value of ratio remains same if we multiply or divide  the numerator and denominator of a fraction by the same number.

a : b = a/b = am/bm = a : b  or

A : b = a/b = a/mb/m = a/m

Compounded ratio : If two or more ratios are multiplied term by term i.e the numerator to numerator and denominator to denominator, the ratio thus obtained is called their compounded ratio

Example the compounded ratio of a : b and c : d is ac : bd

Duplicate ratio : the duplicate ratio of a : b is a^2 :  b^2

Example the duplicate ratio of 2 : 3 = 4 : 9

Triplicate ratio : the triplicate ratio of a : b is a^3 : b^3

Sub-duplicate ratio : the sub-duplicate ratio of a : b is a^½ : b^½

Sub triplicate ratio : the sub triplicate ratio of a : b is a^⅓ : b^⅓

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Reciprocal or inverse ratio : the inverse ratio of a : b is 1/a : 1/b which is same as     b : a

Proportion : if two ratios are equal, then they are said to be in proportion

Example : consider 2 : 5 and 4 : 10 , since  2/5  = 4/10 , hence 2,5,4 and 10

are in proportion and can be  written as 2 : 5 : : 4 : 10

In the proportion 2 : 5 : : 4 : 10, the end terms 2 and 10 are called extremes and the middle terms  5 and 4 are called means.

Product of extremes = product of means

Continued proportion and third proportion : If a/b = b/c , then  a, b, and c are said to be in continued proportion  and c is called the third proportion. The third proportion of a and b is b^2 / a.

Fourth proportion : if a, b, c and d are in proportion then d is called the fourth proportion. The fourth proportion of a, b and c is bc / a .

Mean proportion : mean proportion of two numbers a and b is √ab

Short tricks

1. If A : B : C = a : b : c

Then A/B : B/C : C/A = ac : b2 a : ca

2. If A : B = a : b, B : C = b : c, C : D = c :d

Then A : C = a : c, A : D = a : d and B : D = b : d

3. If a sum of money R is divided in A and B in the ratio  m : n, then

  • Share of A = R/m  + n × m
  • Share of B = R/m  + n × n
  • Difference between the share of A and B = R/m  + n × (m – n)

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4. If a bag contain the coins of Rs. x, Rs. y and Rs. z in the ratio of m : n : r and the total value of the coins is Rs. R, then

  • Numbers of coin x = m/xm + yn + zr × R
  • Numbers of coin y = n/xm + yn + zr × R
  • Numbers of coin z = r/xm + yn + zr × R
5. In a glass, the ratio of the mixture of milk and water is m : n and in another glass of same quantity of mixture is p : q. If the mixture of these two glasses mix up in a third glass, then the ratio of milk and water  will be

                                       = (m/m + n  p/p + q) : (n/m + n q/p + q)

6. In X lite mixture, the ratio of water and milk is p : q. How many liters of water should be added to this mixture so that the ratio will become r : s.

                 = X(ps – qr)r/(p + q)

                           Allegation and mixture

Allegation rule : The two ingredients should be mixed in the inverse ratio of the differences of the two given prices and the mean price i.e.

(Quantity of cheaper product / quantity of dearer product ) = (Cost price of dearer – mean price) /    

                                                                        (mean price – cost price of cheaper)       

Note : C.P. of unit quantity of the mixture is called the mean price.

We represent it as

capture

     Cheaper quantity  : dearer quantity = (d – m) : (m – c)

Short tricks on allegation and mixture

  • If in a X liter mixture of milk and water, the quantity of milk is m%, then how many liters of milk should be added to the mixture such that the quantity of milk increase to n % = X(n – m)/100 – n
  • If in a X liter mixture of milk and water, the quantity of milk is m%, then how many liters of water should be decreased or vaporized from the mixture such that the quantity of milk increase to n % = X(m – n)/100 – n
  • A container contains X liters of water. If m liters of water is replaced by m liters of milk and this process is repeated n times , then the quantity of water in the new mixture is

                  X (1 – m/x)n

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  • If by selling mixture of milk and water on the cost price of milk there is a profit of m%, then the ratio of milk and water = 100 : r  

                                    Partnership

Partnership : To solve the problems involving partnership , use this trick

(A’s capital × A’s time in partnership)/(B’s capital ×  B’s time in partnership) = A’s profit/B’s profit

For three persons A, B and C

(A’s capital × A’s time) : (B’s capital × B’s time ) : (C’s capital × C’s time ) =

A’s profit : B’s profit : C’s profit       

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Practice Questions on Ratios and Proportions

 

Practice Questions

Practice Questions on Ratios and Proportions

Practice Questions on Ratios and Proportions for SSC CGL,Bank IBPS SO and government examination Preparing.

1. Seats for maths, physics and biology are in the ratio 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats ?

      1. 2 :3 :4
      2. 6 : 7 : 8
      3. 6 : 8 : 9
      4. Cannot be determined
      5. None of these                                                                              Canara Bank PO exam. 09.02.2003

2. If a : b = 7 : 9 and b : c = 15 : 7, then what is a : c

      1. 5 :3
      2. 3 :5
      3. 7 : 21
      4. 7 : 15                                                                                        (SSC CGL Prelim Exam. 04.07.1999)

3. If A : B : C = 2 : 3 : 4, then A/B : B/C : C/A is equal to

      1. 8 : 9 : 16
      2. 8 : 9 : 12
      3. 8 : 9 : 24
      4. 4 : 9 : 16                                                                                     (SSC CGL Prelim Exam. 13.11.2005)
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4. A starts a business with an initial investments of Rs. 18000. After 4 months, B enters into the partnership with an investment of Rs. 24000. Again after two months C enters with an investment of Rs. 30000. If C receives Rs. 1845 in the profit at the end of the year , what is the total annual profit ?

      1. 6027
      2. 6327
      3. 6527
      4. 6080
      5. None of these                                                                     (Bank Of Baroda PO Exam. 14.08.2014)

Practice Questions on Ratios and Proportions

5. Tanvi started a business investing Rs. 45,000. After 8 months Jitesh joined her with a capital of Rs. 52,000. At the end of the year the total profit was Rs. 56,165. What is the share of profits of Jitesh ?

    1. 21,450
    2. 24,440
    3. 27,635
    4. 31,765
    5. None of these

                                                                   (Oriental Bank Of Commerce PO Exam. 21.12.2008)

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6. A man has divided his total money in his will in such a way that half of it goes to his wife, 2/3rd of the remaining among his three sons equally and the rest among his four daughter equally. If each daughter gets Rs. 20,000, how much money will each son get ?

      1. 50,333.33
      2. 48,233.33
      3. 53,333.33
      4. Data inadequate
      5. None of these                                                                                (SBI Banks PO Exam. 20.08.2000)

7. In a mixture of two liquids A1 and A2 the proportion of A2 by weight was 60%. If in the 60 gms mixture 15 gms A2 was added, what would be the percentage of A2 in the new mixture ?

      1. 75%
      2. 88%
      3. 68%
      4. 70%
      5. None of these

8. When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains 33 1/3 % acid. The percentage of acid in the original mixture was

      1. 20%
      2. 22%
      3. 24%
      4. 25%                                                                                                            (insurance exam 22.05.2011)

9. P, Q and R started a business with investment Rs 5000, 6000 and 8000 respectively. After one year R withdrew 50% of his capital and P increased his capital by 80% of his investment. After two years in what ratio should the profit of P,Q and R be distributed ?

      1. 7 : 6 : 6
      2. 2 : 3 : 3
      3. 13 : 12 : 12
      4. 4 : 3 : 2
      5. None of these
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10. Mahesh started a business investing Rs. 42000. After 2 months Ramesh joined him with a capital of Rs. 63000 and another one month later Shyam joined with them with Rs. 56000. If the profit of Mahesh was Rs. 2403 after 6 months, then what was the profit of Shyam ?

      1. 3204
      2. 2403
      3. 1602
      4. 2060
      5. None of these

11. If A : B = 3 : 14, B : C = 4 : 3, C : D = 7 : 5 and D : E = 15 : 4, then A : E = ?

      1. 2 : 3
      2. 3 : 2
      3. 4 : 3
      4. 3 : 4

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12. The ratio of the ages of two persons is 4 : 7. If one person is older to the other by 9 years. What is the sum of their ages ?

      1. 95 years
      2. 86 years
      3. 99 years
      4. 97 years
      5. None of these

13. In an innings of a cricket match, three players A,B and C scored a total of 361 runs. If the ratio of the number of runs scored by B  to that scored by C be 3 : 2, the number of runs scored by A was

      1. 171
      2. 181
      3. 185
      4. Cannot be determined
      5. None of these                                                                      (SSC CGL Prelim Exam. 04.02.2007)

14. Ramesh bought 30 kg of apples at Rs. 150/ kg and another 20 kg of apples at Rs. 140 / kg. He mixed them together.  At what rate should he sell the mixture to earn 5 % profit ?

  1. 150.25 /kg
  2. 153.3 /kg
  3. 152 / kg
  4. 152.6 / kg
  5. None of these

15. In a school the ratio of the number of boys to the number of girls is 4:5. If the number of boys is increased by 30% and number of girls is decreased by 20%, what will be the new ratio of number of boys to that of girls ?

      1. 14 : 5
      2. 7 : 15
      3. 7 :3
      4. 13 :10
      5. None of these

16. The ratio of A and B in Rs. 58812 are 6 : 7. What is the difference between thrice of share A and thrice of share B ?

      1. Rs. 13572
      2. Rs. 4524
      3. Rs. 8425
      4. Rs. 12560
      5. None of these

17. Two persons Mahesh and Ramesh start a business with investments of Rs.27100 and Rs. 23900 respectively. After 3 months shyam joined them. Total profit at the end of the year was Rs. 14794 and shyam’s profit was 3744. What was the shyam’s investments ?

      1. Rs. 25064
      2. Rs. 23040
      3. RS. 45230
      4. Rs. 25080
      5. None of these

18. If A : B = 4 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : B : C : D = ?

      1. 8 : 9 : 30 : 35
      2. 8 : 9 : 15 : 21
      3. 32 : 24 : 30 : 35
      4. 32 : 24 : 35 : 30
      5. None of these

19. Mr. x invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investments. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debit and equity funds. If the amount reinvested in equity funds was Rs. 94,500, what was the original amount invested in equity funds ?

      1. 75000
      2. 81007
      3. 60000
      4. 65007
      5. None of these                                                      (SBI Associate Banks PO Exam. 07.08.2011)

20. The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now ?

    1. 3 :2
    2. 1 : 2
    3. 2 : 1
    4. 3 : 1
    5. None of these                                                                          (IBPS BANK PO/MT CWE_IV 18.10.2014)

Answers key

1. 1 7. 3 13. 4 19. 1
2. 1 8. 4 14. 2 20. 4
3. 3 9. 1 15. 4
4. 1 10. 3 16. 1
5. 5 11. 2 17. 2
6. 3 12. 5 18. 3

Practice Question on Geometry for SSC Exam

Practice Question on Geometry for SSC Exam 

  Practice Question on Geometry for SSC Exam, SSC CGL, BANK, RBI and other government exams.

1. ABCD is a cyclic parallelogram. The angle B is equal to

a. 30°            b. 60°          c. 45°               d. 90°

2. A quadrilateral ABCD circumscribes a circle and AB = 6 cm, CD = 5 cm and AD = 7 cm. The length of side BC is

a. 4 cm         b. 5 cm      c. 3 cm          d. 6 cm

3. The three successive angles of a cyclic quadrilateral are in the ratio 1 : 3 : 4, find the measure of the fourth angle

a. 72             b. 108       c. 36                d.30

4. Two chords of length a unit and b unit of a circle make angles 60 degree and 90 degree at the centre of a circle respectively, then the correct relation is

a. b = 3/2 a           b. b = √2a                c. b = 2a                   d. b = √3a

5. ABC is a cyclic triangle and the bisectors of angle BAC, angle ABC and angle BCA meet the circle at P, Q  and R respectively. Then the angle RQP is

a. 90 – B/2            b. 90 + B/2              c. 90 +            d. 90  – A/2

Practice Question on Geometry for SSC Exam

6. Ashok has drawn an angle of measure 4527’ when he was asked to draw an angle of 45. the percentage error in his drawing is

a. 0.5                       b. 1.0                         c.1.5                  d. 2.0

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7. The angle between the external bisectors of two angles of a triangle is 60. Then the third angle of the triangle is

a. 40                       b. 50                          c. 60                 d. 80

8. The measure of an angle whose supplement is three times as large as its complement, is

a. 75                       b. 30                         c. 45                   d. 60

9. If the complement of an angle is one- fourth of its supplementary angle, then the angle is

a. 60                      b. 30                         c. 90                   d. 120

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10. If D, E and F are the mid_ points of  BC, CA and AB respectively of the triangle ABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is

a. 2:3                    b. 3:4                         c. 1:2                   d. 1:3

11. If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a

a. Trapezium      b. Parallelogram    c. square              d. Rhombus

12. In the given figure angle ONY = 50° and OMY = 15°. then the value of the angle MON is

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a.30          b. 40              c. 20               d. 70

13. Two circles intersect at A and B. P is a point on produced BA. PT and PQ are tangents to  the circle. The relation of PT and PQ is

a. PT = 2PQ                   b. PT < PQ                 c. PT > PQ                   d. PT = PQ

14. AB is a chord of a circle with center O. DC is a line passing through O starting from D (on a circle) end on ( C is a point on the produced line AB). If angle BCO = 30, then angle AOD is

a. 90                              b. 120                              c. 100                         d. 80

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15. If the ratio of the angles of a quadrilateral is 2 : 2 : 2 : 2 , then it is a

a. Trapezium               b.rectangle                     c. square                    d. Rhombus

16. If O is the cir-cum center of a triangle ABC lying inside the triangle, then angle OBC – angle BAC is equal to

a.90                             b. 60                                  c. 110                           d. 120

17. Two circles of radii 5 cm and 3 cm touch externally, then the ratio in which the direct common tangent to the circles divides externally the line joining the centers of the circles is :

a. 5 : 3                        b. 3 : 5                                c. 2.5 : 1.5                   d. 1.5 : 2.5

18. The distance between the centers of two circles having radii 8 cm and 3 cm, is 13 cm. The length (in cm ) of the direct common tangent of the two circles is

a. 15                            b. 16                                   c. 18                              d. 12

19. For a triangle cir-cum center lies on one of its sides. The triangle is

a. Right angled          b. Obtused angled          c. isosceles                  d. Equilateral

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20. ABCD is a rhombus whose side AB = 4 cm and angle ABC = 120, then the length of diagonal BD is equal to

a. 1 cm                         b. 2 cm                              c. 3 cm                           d. 4 cm

21. A square ABCD is inscribed in a circle of unit radius. Semi circles are described on each sides as a diameter. The area of the region bounded by the four semicircles and the circle is

a. 1 sq. unit                b. 2 sq. unit                      c. 1.5 sq. unit                d. 2.5 sq. unit

22. A, B, C, D are four points on a circle . AC and BD intersect at a point E such that angle BEC = 130 and angle ECD = 20, angle BAC is

a. 120                         b. 90                                 c. 100                           d. 110

23. Three circles of radius 6 cm each touches each other externally. Then the distance of the center of one circle from the line joining the centers of other two circles is equal to

a. 6√5 cm                    b. 6√3 cm                          c. 6√2 cm                        d. 6√7 cm

24. The sides of a triangle are in the ratio 3 : 4 : 6. The triangle is

a. Acute angled              b. Right angled                         c. Obtuse angled                         d. Either acute angled or right angled

25. AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm ) is

a. 4                      b. 5                   c. 6                    d. 8

                                          

                                                 Answer keys

1. d 7. c 13. d 19. a 25. b
2. a 8. c 14. a 20. d 26.
3. a 9. a 15. b 21. 27.
4. b 10. a 16. b 22. d 28.
5. a 11. b 17. 23. b 29.
6. b 12. d 18. d 24. a 30.

Geometry for SSC Exam

Geometry for SSC CGL Exam

Geometry for SSC Exam, IBPS SO, RRB and government exam preparation.

Angles  An angle is a measurement of rotation of a line about a fixed point

The fixed point is called the vertex of an angle.

Angle is generally measured in degree

We read it as angle AOB

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Types of angles

Acute angle If an angle is less than 90°, then it is called an acute angle

Right angle if an angle is equal to 90°, then it is called right angle

Obtuse angle If an angle is greater than 90° but smaller than 180°, then it is called an obtuse angle

Straight angle If an angle is equal to 180°, then it is called a straight angle

Reflexive angle If an angle is greater than 180° and smaller than 360°, then it is called reflexive angle

Complete angle If an angle is equal to 360°, then it is called complete angle

Complementary angles  Two angles are called complementary if their sum is equal to 90°

Supplementary angles Two angles are called supplementary if their sum is equal to 180° or equal to two right angles.

Transverse lines when two lines intersected by a third line then the third line is called transverse line

Corresponding angles If the lines are parallel then their corresponding angles are equal and if the corresponding angles are equal then the lines are parallel 

Corresponding angles is in the form of F

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Alternate angle if the lines are parallel then their alternate angles are equal and its converse is also true

Alternate angle is in the form of Z

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Vertically opposite angles when two lines intersect each other then the angles made at their intersection point are called vertically opposite angles.

These angles are in the form of X

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Triangle A plane figure bounded by three straight lines is called a triangle

  • A triangle has 3 angles
  • The sum of angles of a triangle is 180°

Scalene triangle A triangle whose all sides are of different length

Geometry for SSC Exam

Isosceles triangle A triangle whose at least two sides are equal

Equilateral triangle a triangle whose all sides are equal

In equilateral triangle all angles are 60°

Right angled triangle A triangle in which an angle is equal to 90°

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Pythagoras theorem In a right angled triangle AB2 + BC2 = AC2

Its converse is also true i.e. AB2 + BC2 = AC2, then the triangle is right angled triangle.

Acute angled triangle If all the angles of a triangle are acute angle, Then there is acute angled triangle.

Obtuse angled triangle If one angle of a triangle is obtuse, then there is obtuse angled triangle.

Median The median is a line segment joining a vertex to the mid_point of opposite sides.

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Centroid The intersection point of medians is called centroid.

All the medians are concurrent i.e. they intersect each other at same point

Centroid divides the median into 2:1.

Orthocentre the intersection of  altitudes drawn from vertex to its opposite sides is called orthocentre.

All the altitudes are concurrent.

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Incentre The intersection point of angle bisector is called the incentre.

All the angle bisectors are concurrent.

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Incircle is the centre of largest circle that can be inscribed in a triangle.

Circumcenter The intersection point of perpendicular bisector of any two sides of a triangle is called the circumcentre.

  • All the perpendiculars bisectors are concurrent
  • Circumcenter is the radius of largest circle that is outside the triangle and touch the vertices of triangle

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Some important results on triangle

  • If a side of a triangle is produced then the angle so formed is called  exterior angle and is equal to the sum of opposite interior angles

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  • The sum of exterior angles of a triangle is equal to 360
  • The sum of two sides of a triangle is always greater than the third side
  • The angle opposite to greater side of a triangle is greater i.e. if AB > BC > CA, then angle C > angle A > angle B and conversely
  • If any two sides of a triangle are equal, then the angles opposite to them are also equal and conversely
  • Centroid divides the median of a triangle in 2:1
  • In equilateral triangle centroid, orthocentre, incentre and circumcentre coincides i.e. they lie on the same point
  • The line joining the mid_ points of two sides of a triangle is parallel to the third side
  • Let ABC is a right angled triangle, right angle at B and D is the mid_ point of AC . then BD = ½ AC

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  • Let the bisector of angle B and angle C intersect each other at a point O.

           Then angle BOC = 90 + ½ A

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If ABC is a triangle and line BC is produced to D and AL is the bisector of angle A, then Angle ABC + angle ACD = 2 ( angle ALC)

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Congruent triangles Two triangles are said to be congruent if they are the same triangle with different rotation i.e. they are of same size (all angles and all sides are equal)

If ABC is congruent to DEF  we written this as  ABCDEF

Every triangle is congruent to itself

Some important triangle

Geometry Question for SSC CGL

Geometry Question for SSC CGL

Sufficient condition for congruence of two triangles

  • SAS (side angle side) If two sides and angle between them of one triangle is equal to the corresponding sides and angle between them of the other triangle
  • ASA (angle side angle) If two angles and included side of one triangle is equal to the corresponding angle and included side of the other triangle
  • SSS (side side side) If three sides of one triangle is equal to the corresponding sides of the other triangle
  • RHS (right angle – hypotenuse side ) If the hypotenuse and other side of one triangle is equal to hypotenuse and the corresponding side of the other triangle

Similar triangles Two triangles are said to be similar if they have same shape but their size can be different i.e. their corresponding sides are in proportion and their corresponding angles are equal

If ΔABC is similar to ΔDEF  we written this as  ΔABC∼ΔDEF

A/B D/E = B/C E/F = AC/DF

  • Every triangle is similar to itself
  • If ΔABC∼ΔDEF then area ΔABC/area ΔDEF = (AB/DE)2= (BC/EF)2 = (AC/DF)2

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Quadrilaterals A plane figure bounded by 4 line segments is called quadrilateral

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Sum of all the angles of a quadrilateral is 360°

AC and BD are the diagonals of a quadrilateral

Types of quadrilateral

Parallelogram  A quadrilateral whose opposite sides are parallel  is called a parallelogram

  • Opposite sides of a parallelogram are equal
  • Opposite angles of a parallelogram are equal
  • Diagonals of a parallelogram bisect each other
  • Sum of consecutive angles of a parallelogram is 180°

Rectangle A quadrilateral whose opposite sides are parallel and interior angles is equal to 90°

  • Opposite sides of a rectangle are equal
  • All the angles of a rectangle are equal to 90°
  • Diagonals of a rectangle are equal and bisect each other

Rhombus A parallelogram whose all sides are equal is called a rhombus

  • Diagonals bisects each other at  90°
  • Sum of the squares of the side is equal to the squares of the diagonals

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Square A parallelogram whose all sides are equal and interior angles are equal to 90°

  • Diagonals of a square bisect each other at 90°
  • Diagonals of a square are equal

Polygons A polygon is a plane figure bounded by n straight lines

Example triangle, quadrilateral

Number of sides                                          polygon

3                                                                    triangle

4                                                                    quadrilateral

5                                                                    pentagon

6                                                                    hexagon

7                                                                    heptagon

8                                                                    octagon

9                                                                    nonagon

10                                                                 decagon

Regular polygons If all sides and all angles of a polygon are equal, then it is called a regular polygon

Properties of a polygon

  • Sum of all interior angles of a polygon of sides n is (n – 2) × 180°
  • Each exterior angle of a regular polygon of n sides is (360/n)°
  • Each interior angle of a regular polygon is (n – 2) × 180°/n
  • number of diagonals of a polygon of n sides is n × (n – 3)/2
  • Sum of all exterior angle of a regular polygon is 360°

Circle A circle is the set of all points in a plane which are equidistant from the fixed point

This fixed point is called the center of the circle and the distance of the centre to the circle is called radius

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In the above figure O is the center of circle

OD is the radius of a circle

Chord The line segment joining the two points on a circle is called a chord. In the above figure AB is the chord and CD is also a chord

Diameter the chord passing through the center is called a diameter. CD is a diameter

Tangent A line segment which touch the circle at only one point is called a tangent. EF is a tangent in the above figure

Secant A line which intersect the circle at two points is called a secant. GH is a secant in the above figure

Some important results on circle

  • The perpendicular from the center of a circle to a chord bisects the chord.
  • The line joining the center of circle to the mid_ point of the chord is perpendicular to the chord.
  • The perpendicular bisectors of two chords of a circle intersect at the center of a circle.
  • The angle subtended by an arc of the circle at the center is double the angle subtended by it at the circle.
  • Chords which are equidistant from the center of a circle are equal.
  • Equal chords are equidistant from the center of a circle.
  • Angle in a same segment of the circle are equal.
  • Tangent is perpendicular to the line joining the center of the circle to the point of contact.
  • Angle in a semi_circle is 90°.
  • Through a single point, an infinite number of circle can be drawn.
  • Through two points , an infinite number of circles can be drawn.
  • Through three-col-linear points, a unique circle can be drawn.

Practice Question on Geometry for SSC Exam