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Arithmetic Reasoning Questions

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If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?


A1 day

B4 days

C40 days

D100 days

Answer: Option D

Explanation:

ar-3

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In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is


A5

B7

C10

D12

Answer: Option B

Explanation:

Let the number of cows be x and the number of hens be y.

Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.

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A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?


A2

B3

C6

D12

Answer: Option C

Explanation:

Since B and D are twins, so B = D.

Now, A = B + 3 and A = C - 3.

Thus, B + 3 = C - 3 D + 3 = C-3 C - D = 6.

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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 ?


A10

B12

C14

D16

Answer: Option C

Explanation:

Let number of horses = number of men = x.

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

So, 5X = 70 or x = 14.

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In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?


A40 years

B45 years

C50 years

D60 years

Answer: Option D

Explanation:

Let the daughter's age be x years.

Then, father's age = (3x) years.

Mother's age = (3x - 9) years; Son's age = (x + 7) years.

So, x + 7 = (3x-9)/2 2x + 14 = 3x - 9 x = 23.

Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.

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A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?


A32 rolls

B54 rolls

C108 rolls

D120 rolls

Answer: Option D

Explanation:

Number of cuts made to cut a roll into 10 pieces = 9.

Therefore Required number of rolls = (45 x 24)/9 = 120.

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If you write down all the numbers from 1 to 100, then how many times do you write 3 ?


A11

B18

C20

D21

Answer: Option C

Explanation:

Clearly, from 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93; and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.

So, required number = 10 + 10 = 20.

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The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?


A48

B44

C42

D40

Answer: Option C

Explanation:

Let number of girls = x and number of boys = 3x.

Then, 3x + x = 4x = total number of students.

Thus, to find exact value of x, the total number of students must be divisible by 4.

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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 are the present ages of B and C ?


A9, 46

B9, 50

C10, 46

D10, 50

Answer: Option B

Explanation:

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.

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


A62

B45

C28

D20

Answer: Option D

Explanation:

Total runs scored = (36 x 5) = 180.

Let the runs scored by E be x.

Then, runs scored by D = x + 5; runs scored by A = x + 8;

runs scored by B = x + x + 5 = 2x + 5;

runs scored by C = (107 - B) = 107 - (2x + 5) = 102 - 2x.

So, total runs = (x + 8) + (2x + 5) + (102 - 2x) + (x + 5) + x = 3x + 120.

Therefore 3x + 120 =180 3X = 60 x = 20.

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