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Reasoning Aptitude

ARITHMETIC REASONING MCQs

Arithmetical Reasoning

Total Questions : 278 | Page 10 of 28 pages
Question 91.

A certain number of horses and an equal number of men are going somewhere.

Half of the owners are on their horses' back while the remaining ones are walking

along leading their horses. If the number of legs walking on the ground is 70,

how many horses are there ?


  1.    10
  2.    12
  3.    14
  4.    16
 Discuss Question
Answer: Option C. -> 14

Let number of horses = number of men = x.

Then, number of legs = 4x + 2 x (x/2) = 5x.

So, 5X = 70 or x = 14.


Question 92.

A is three times as old as B. C was twice as old as A four years ago. In four

years' time, A will be 31. What is the present age of B and C ?


  1.    9, 46
  2.    9, 50
  3.    10, 46
  4.    10, 50
 Discuss Question
Answer: Option B. -> 9, 50

We have : A = 3B ...(i) and

C - 4 = 2 (A - 4) ...(ii)

Also, A + 4 = 31 or A= 31-4 = 27.

Putting A = 27 in (i), we get: B = 9.

Putting A = 27 in (ii), we get C = 50.


Question 93.

A father tells his son,

l was of your present age when you were born." If the

father is 36 now, how old was the boy 5 years back ? 


  1.    13
  2.    15
  3.    17
  4.    20
 Discuss Question
Answer: Option A. -> 13

Let the father's age be x and the son's age be y. 

Then, x - y = y or x = 2y

Now, x = 36. So. 2y = 36 or y = 18.

Son's present age = 18 years.

So. son's age 5 years ago = 13 years.


Question 94.

In an examination, a student scores 4 marks for every correct answer and loses

1 mark for every wrong answer. If he attempts all 75 questions and secures

125 marks, the number of questions he attempts correctly, is


  1.    35
  2.    40
  3.    42
  4.    46
 Discuss Question
Answer: Option B. -> 40

Let the number of correct answers be x.

Number of incorrect answers = (75 - x).

4x - (75 - x) = 125 or 5x = 200 or x = 40.


Question 95.

In a caravan in addition to 50 hens, there are 45 goats and 8 camels with some

keepers. If the total number of feet be 224 more than the number of heads in

the caravan, the number of keepers is 


  1.    5
  2.    8
  3.    10
  4.    15
 Discuss Question
Answer: Option D. -> 15

Let number of keepers be x. Then,

Total number of feet = 2 x 50 + 4 x 45 + 4 x 8 + 2x = 2x + 312.

Total number of heads = 50 + 45 + 8 + x= 103 + x.

Therefore (2x + 312) = (103 + x) + 224 or x = 15.


Question 96.

A, B, C, D and E play a game of cards. A says to B, "If you give me three cards!

you will have as many as E has and if I give you three cards, you wil l have ai

many as D has." A and B together have 10 cards more than what D and E

together have. If B has two cards more than what C has and the total numbei

of cards be 133, how many cards does B have ? 


  1.    22
  2.    23
  3.    25
  4.    35
 Discuss Question
Answer: Option C. -> 25

Clearly, we have :

B-3 = E ...(i)

B + 3 = D ...(ii)

A+B = D + E+10 ...(iii)

B = C + 2 ...(iv)

A+B + C + D + E= 133 ...(v)

From (i) and (ii), we have : 2 B = D + E ...(vi)

From (iii) and (vi), we have : A = B + 10 ...(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B - 2) + 2B = 133 or 5B = 125 or B = 25.


Question 97.

Robin says, "If Jai gives me Rs 40, he will have half as much as Atul, but i

Atul gives me Rs 40, then the three of us will all have the same amount." What

is the total amount of money that Robin, Jai and Atul have between them ?


  1.    Rs 240
  2.    Rs 320
  3.    Rs 360
  4.    Rs 420
 Discuss Question
Answer: Option C. -> Rs 360

Clearly, we have :

J - 40 = `1/2`A ...(i) 

A - 40 = J ...(ii)

A - 40 = R + 40 ...(iii)

Solving (i) and.(ii) simultaneously, we get : J = 120 and A= 160.

Putting A 160 in (iii), we get R = 80.

Total money = R + J + A= Rs.(80 + 120 + 160) = Rs.360.



Question 98.

A, B, C, D and E play a game of cards. A says to E, "If you give me 3 cards,

you will have as many as I have at this moment while if D takes 5 cards from

you, he will have as many as E has.'' A and C together have twice as many

cards as E has. B and D together also have the same number of cards as A and

C taken together. If together they have 150 cards, how many cards has C got ?


  1.    28
  2.    29
  3.    31
  4.    35
 Discuss Question
Answer: Option A. -> 28

Clearly, we have :

A = B - 3 ...(i)

D + 5 = E ...(ii)

A+C = 2E ...(iii)

B + D = A+C = 2E ...(iv)

A+B + C + D + E=150 ...(v)

From (iii), (iv) and (v), we get: 5E = 150 or E = 30.

Putting E = 30 in (ii), we get: D = 25.

Putting E = 30 and D = 25 in (iv), we get: B = 35.

Putting B = 35 in (i), we get: A = 32.

Putting A = 32 and E = 30 in (iii), we get: C = 28.


Question 99.

In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs

D scored 5 more than E; E scored 8 fewer than A; B scored as many as D anc

E combined; and B and C scored 107 between them. How many runs did B

score ?


  1.    62
  2.    45
  3.    28
  4.    20
 Discuss Question
Answer: Option D. -> 20

Question 100.

I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am lef

with one sweet. If I keep 5 in a pack, I am left with none. What is the minimun

number of sweets I can have to pack and distribute ? 


  1.    25
  2.    37
  3.    54
  4.    65
 Discuss Question
Answer: Option A. -> 25

Clearly, the required number would be such that it leaves a remainder of 1 when

divided by 2, 3 or 4 and no remainder when divided by 5. Such a number is 25.


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