149+ Arithmetic Reasoning [Verbal] - Mental Ability Questions and Answers

Q:

An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A) 11 days	B) 15 days
C) 13 days	D) 16 days

Answer & Explanation Answer: A) 11 days

Explanation:

Let 'n' number of days it take to complete.

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
$n^{2}$ + 39n - 550 = 0
$n^{2}$ + 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

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Q:

What are the Multiples of 18?

A) 144	B) 72
C) 306	D) All the above

Answer & Explanation Answer: D) All the above

Explanation:

The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....

Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.

An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.

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Q:

On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?

A) 44	B) 46
C) 48	D) 49

Answer & Explanation Answer: C) 48

Explanation:

No. of students will be 98 x 12 = 1176
let us consider n circles then 1 + 2 + 3 + ....+ n = 1176
n(n+1)/2 = 1176
n = 48 circles.

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Q:

What is the value of 28 tens?

A) 28	B) 2
C) 2800	D) 280

Answer & Explanation Answer: D) 280

Explanation:

Here asked for the value of 28 tens

=> 28 x 10 = 280.

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Q:

A Child has 1200 five rupee coins. He wants to place them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of coins that he needs more for this purpose?

A) 125	B) 96
C) 35	D) 25

Answer & Explanation Answer: D) 25

Explanation:

We know that, to be in the form that the number of rows and the number of columns to be equal the number should be a perfect square ( $a^{2}$ ).

Given number is 1200

The perfect number which is above and near to 1200 is 1225 which is 35 $\times$ 35.

Therefore, The minimum number of coins he need is 25.

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Q:

Read the following passage and answer the questions based on it.

1) Vinay, Vinay, Vikas, Vasu, Vaibhav, Varun and Vishal are sitting around a circle facing at the center.

2) Vasu is the third to the right of Vikas.

3) Varun is second to the left of Vinay and second to the right of Vishal.

4) Vaibhav is third to the right of Vinod and is not an immediate neighbor of Varun.

Who is second to the right of Vinod?

A) Vaibhav	B) Vasu
C) Vishal	D) Vikas

Answer & Explanation Answer: D) Vikas

Explanation:

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Q:

In a class there are certain no. of boys and girls. If 15 girls are absent then no. of boys will be twice that of girls. If 45 boys are absent then girls strength will be 5 times that of boys. Find number of boys actually present ?

A) 40	B) 50
C) 55	D) 35

Answer & Explanation Answer: B) 50

Explanation:

15 girls are absent => b = 2(g-15)...... eqn...(1)

45 boys are absent => g - 15 = 5(b-45).....eqn...(2)

=> g = 5(b-45) + 15

=> b = 2((5(b-45)+15)-15)

=> b = 2(5b - 225 + 15 - 15)

=> b = 2(5b-225)

=> b = 10b - 450

=> 9b = 450

=> b = 50

so from equation(2)

g - 15 = 5(b - 45)

=> g - 15 = 5(50-45)

=> g - 15 = 5(5)

=> g = 25 + 15

=> g = 40

Therefore, the number of boys = 50 and girls = 40

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Q:

Insert the missing character marked as '?'.

A) 7	B) 9
C) 15	D) 11

Arithmetical Reasoning Questions

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