Arithmetical Reasoning Questions

Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

A) 30 B) 27
C) 23 D) 33
 
Answer & Explanation Answer: A) 30

Explanation:

Then, A:B = 2:3 and B:C = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5
A:B:C = 2:3:24/5
= 10:15:24 => B = 98 x 15/49 = 30.

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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 third to the left of Varun?

A) Vaibhav B) Vasu
C) Vishal D) Vikas
 
Answer & Explanation Answer: A) Vaibhav

Explanation:
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Q:

What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?

A) 3 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: A) 3

Explanation:
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Q:

If the positions of the first and the fifth digits of the number 14278359 are interchanged, similarly the positions of the second and the sixth digits are interchanged and so on, then which of the following will be the second digit from the right end after the rearrangement ?

A) 5 B) 2
C) 7 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

Given number is 14278359
As given 1st and 5th digits, 2nd & 6th, 3rd & 7th and 4th & 8th digits are to to be interchanged.
Therfore, the rearranged number is 83591427
Then, the second digit from the right end is 2.

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Q:

Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

A) 240 gms B) 280 gms
C) 180 gms D) 170 gms
 
Answer & Explanation Answer: A) 240 gms

Explanation:

The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

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Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Q:

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

A) 100 B) 70
C) 120 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)

Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.

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Q:

What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ?

A) 8 hrs B) 7 hrs 15 min
C) 7 hrs 30 min D) 8 hrs 20 min
 
Answer & Explanation Answer: C) 7 hrs 30 min

Explanation:

Total number of cards = 1500
total columns = 45
so, total punches=1500 x 45 = 67500
for 1 hour if we make 9000 punches,
we require 67500/9000 = 7.5
so 7hours:30mins.

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