BNPM Aptitude-Reasoning

BNPM Reasoning and aptitude model question papers

1.  If 53 - 34 = 5334

65 - 46 = 6456

75 - 24 = ?

(A) 7524

(B) 7452

(C) 7542

(D) 7254    (Ans)

(E) None

2.  When 12 + 10 =  1205

11 + 8 = 885

then 14 + 15 = ?

(A) 1005

(B) 120

(C) 7

(D) 2105    (Ans)

(E) None

Ans :  12 * 10 = 120. Just include 5 as the end digit.  So  1205.11 * 8 = 88.  Just include 5 as the end digit. So 885. Hence 14 * 15 = 210.  Just include 5 as the end digit. Hence =  2105

3.  What number comes next ?

4, 196, 16, 144, 36, 100, 64,   _________

(A) 36

(B) 100

(C) 80

(D) 64   (Ans)

(E) None

Ans : See the alternate numbers.  They are squares of uniformly increasing numbers. The other set is in decreasing order.

 In which of the questions from 4-8, three words have been given which have some common quality to them.  This common quality is given as one of the five alternatives under it. Find out the correct alternative and mark it in the answer.

4.  Sun, Earth, Mars

(A) Stars

(B) Moon

(C) Solar system    (Ans)

(D) Sky

(E) Mercury

5.  Cap, Coat, Trousers

(A) hair

(B) dress    (Ans)

(C) turban

(D) umbrella

(E) None

6.  Chennai, Mumbai, Kochi

(A) Port    (Ans)

(B) Sea

(C) Calcutta

(D) City

(E) None

7.  January, June, July

(A) Rainy season

(B) Summer

(C) Month    (Ans)

(D) March

(E) None

8.  Cheese, Curd, Butter

(A) ghee

(B) white

(C) milk    (Ans)

(D) cow

(E) sweet

9.  3, 10, 29, 66, 127, ?

(A) 164

(B) 187

(C) 218     (Ans)

(D) 216

(E) 252

 Ans :   1³ + 2 = 3;  2³ + 2 = 10;  3³ + 2 = 29;  4³ + 2 = 66;  5³ + 2 = 127;  6³ + 2 = 218

10.  8, 0, 15, 9, 22, 18, 29, 27, ?

(A) 63

(B) 127

(C) 243

(D) 36     (Ans)

(E) None

 Ans :  See the alternate numbers.

11.  1, 5, 13, 25, 41, ?

(A) 61    (Ans)

(B) 57

(C) 51

(D) 67

(E) 63

Ans :  See the difference between the numbers

12.  99, 98, 94, 85, 69, 44, ?

(A) 9

(B) 15

(C) 4

(D) 12

(E) 8    (Ans)

 Ans :  See the difference between the consecutive numbers. It is 1²,  2²,  3²,  4²,  and 5². Now you have to subtract 6² from 44 to get answer 8

13.  49, 51, 54, 27, 9, 11, 14, ?

(A) 15

(B) 18

(C) 12

(D) 6

(E) 7    (Ans)

Ans :   49 + 2 = 51 + 3 = 54 ÷ 2 = 27 ÷ 3 = 9 + 2 = 11 + 3 = 14

Now 14 ÷ 2 = 7

14.  Four of the following numbers are alike in some way. Which one is not ?  19, 29, 21, 23, 13

(A) 23

(B) 21    (Ans)

(C) 13

(D) 29

(E) 19

Ans :   All other numbers are prime numbers.

Find the next  number in the series for questions 9 to 15.

15.  2, 1 1/3,  2/3, 0, ?

(A) 1

(B) -2/3   (Ans)

(C) 11/2

(D) 2/3

(E) 0

Ans :  Subtract 2/3 each time.

16.  6.75, 4.5, 3, ?

(A) 5

(B) 2.5

(C) 2   (Ans)

(D) 1.5

(E) 8

Ans :  Multiply by 2/3, to get the next number.

17.  4, 7, 12, 19, 28, ?

(A) 39     (Ans)

(B) 42

(C) 53

(D) 21

(E) 12

18.  15, 52, 26, 63, 37, ?

(A) 20

(B) 70

(C) 55

(D) 74     (Ans)

(E) 66

Ans :  The second digit of each pair is the same as the first digit of the following pair.  These then form simple series - 1, 5, 2, 6, 3, 7, etc.  or 37 is added to the first number (i.e. 15) and 26 is subtracted from the next number.  This process of adding (+37) and (-26) is carried on to form the series.

19.  10, 12, 32, 34, 54, 56, ?

(A) 58

(B) 60

(C) 76     (Ans)

(D) 61

(E) 67

Ans :  Add 2 and 20 alternately.

20.  1, 2, 5, 26, ?

(A) 677      (Ans)

(B) 30

(C) 60

(D) 50

(E) 62

Ans :  Each number is generated by squaring the previous number and adding one.

21.  2.4, 5.3, 8.2, 11.1, ?

(A) 12.1

(B) 14.2

(C) 14    (Ans)

(D) 15.1

(E) 16.1

 Ans :  Add 2.9 to the preceding item.

 Pick the combination which goes in the blank space of this sequence for questions 60 to 20.

22.  Fuel : Fire ::

(A) cold : heat

(B) fire : forest

(C) food : man     (Ans)

(D) wood : tree

(E) smoke : coals

23.  Hare : Tortoise ::

(A) telegram : letter    (Ans)

(B) thesis : essay

(C) numbers : words

(D) egotism : modesty

(E) lie : truth

24.  Skeleton : Body ::

(A) prisoner : cell

(B) law : society     (Ans)

(C) prisoner : law

(D) jury : sentence

(E) law : jury

25.  Ointment : Burn ::

(A) tears : consolation

(B) bread : meat

(C) butter : bread

(D) consolation : grief    (Ans)

(E) happiness: grief

26.  Fibre : Fabric ::

(A) average : aggregate

(B) nucleus : cell

(C) member : league     (Ans)

(D) appurtenance : object

(E) obstinacy : deadlock

27.  Answer in a shortcut method (999)²

(A) 19848

(B) 108431

(C) 93670

(D) 998001    (Ans)

(E) None

Ans :  (999)² can be written as (1000 - 1)²

Use (a - b)² =  a² + b² - 2ab

∴   1000² + 1² - 2 * 1000 * 1

1000000 + 1 - 2000

10000001 - 2000 = 998001

28.  24, 72, 36, 108, 54, 162, .....

(A) 63

(B) 127

(C) 243

(D) 81    (Ans)

(E) None

 Ans :  The series goes on 24 * 3 =  72

72  =  36,  then  36 * 3 =  108,
 2

108  =  54,  then  54 * 3 =  162,
  2

then  162  =  81
          2

  In an imaginary language the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are substituted by a, b, c, d, e, f, g, h, i and j. eg: 10 is written as k
Now  attempt the questions from 3 to 7.

 29. (ef * f - ba) ÷ ed is equal to

(A) 2

(B) 3

(C) 4

(D) 5    (Ans)

(E) None

Ans :  = (45 * 5 - 10) ÷  43

= 215  ÷ 43 = 5 Ans.

30.  dc * f - (bf - d) * d is equal to

(A) bce     (Ans)

(B) bcf

(C) abe

(D) abb

(E) None

Ans :  = 32 * 5 - (15 - 3) * 3

= 160 - 36

= 124 = bce

31.  ef * df   is equal to
     cf * h

(A) cq * be
        bfg

(B) dg * bd      (Ans)
        fc

(C) ce * bd
        bi

(D) cg * bf
        ce

(E) None

Ans :    =  45 * 35   = 9. Now change the alphabets of the given answers into digits and simplify to see which answer simplifies to 9. To save some
               25 * 7
time it is advisable to simplify the numerators of the answers only and see which numerator is a multiple of 9.

32.  bee + fg - (ca * h/be) is equal to

(A) bhc

(B) bib

(C) bja     (Ans)

(D) bic

(E) None

Ans :    =   144 + 56 - (20 * 7/14) = 200 - 10

= 190 = bja

33.  (cd + ef) * bc is equal to :

(A) 684

(B) 816     (Ans)

(C) 916

(D) 1564

(E) None

Ans :   (23 + 45) * 12 = 816

Study the row of numbers (question 34-12) and state which number comes next.

 Questions 34 to 38 :

        The relationship which obtains between the two words or group of letters on one side of the sign :: is to be found in the word or group of letters indicated by (?) on the other side.  Find the missing word among the five alternatives given under it.

34.  Ignorance : ? :: darkness : light

(A) Knowledge     (Ans)

(B) Intelligence

(C) Innocence

(D) Clever

(E) Stupidity 

35.  Drum : beat :: Piano : ?

(A) Music

(B) Notes     (Ans)

(C) Song

(D) Pianist

(E) Instrument

36.  Back : backbone :: belly : ?

(A) Stomach

(B) Food

(C) Hip    (Ans)

(D) Pot - belly

(E) Digestion

37.  ? : MON ::  EFG  : CED

(A) PQR

(B) OMQ

(C) NOM

(D) OPQ    (Ans)

(E) MON

38.  TMXK : ULYJ ::  WQFZ : ?

(A) XQGY

(B) XPZY

(C) XPGZ

(D) VPGY

(E) XPGY     (Ans)

39.  Insert the missing letter A  D  G  J  -

(A) M     (Ans)

(B) K

(C) L

(D) F

(E) Z

 Ans :   The series increases by two letters.

40.  Insert the missing letter 

 H  K  Q

 C  G  O

 E   J   -

(A) T

(B) S

(C) K

(D) B

(E) A

 Ans :   There are 2 letters between H G K ; 5 letters between K G Q.  There are 3 letters between C G G and 7 letters between G G O.  Likewise there are 4 letters between E G J. So then, there must be 9 letters between J and the required letter. That letter must be T.