Aptitude and Reasoning Questions

Q:

Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank?

A) 70 lit B) 170 lit
C) 90 lit D) 190 lit
 
Answer & Explanation Answer: B) 170 lit

Explanation:

Given A alone can fill the tank of capacity 240 lit in 16 hrs.

=> A can fill in 1 hr = 240/16 = 15 lit

=> B alone can fill the tank of capacity 240 lit in 12 hrs.

=> B can fill in 1 hr = 240/12 = 20 lit

Now, (A + B) in 1 hr = 15 + 20 = 35 lit

But they are opened for 2 hrs

=> 2 x 35 = 70 lit rae filled

Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A) 1/6 B) 1/4
C) 1/20 D) 3/4
 
Answer & Explanation Answer: A) 1/6

Explanation:

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Filed Under: Probability

16 9295
Q:

A polygon 7 sides.How many diagonals can be formed?

A) 14 B) 7
C) 15 D) 21
 
Answer & Explanation Answer: A) 14

Explanation:

7C2- 7 = 14

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Q:

Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

A) 45 B) 48
C) 360 D) 36
 
Answer & Explanation Answer: A) 45

Explanation:

16200 = 23×34×52

 

A perfect cube has a property of having the indices of all its prime factors divisible by 3.

 

Required number = 32×5 = 9x5 = 45.

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Filed Under: Problems on Numbers
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 9287
Q:

Arun is father of 'B' but 'B' is not son of Arun then what is the relationship of 'B' to Arun ?

A) Mother B) Grand son
C) Daughter D) Grand daughter
 
Answer & Explanation Answer: C) Daughter

Explanation:
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Filed Under: Blood Relations
Exam Prep: CAT
Job Role: Bank Clerk

13 9276
Q:

Pointing towards a photograph kiran said to chotu, "I am the only daughter of this lady and her son is your maternal uncle " How is the kiran related to chotu's father  ?

A) Cousin B) Daughter
C) Sister D) Wife
 
Answer & Explanation Answer: D) Wife

Explanation:

cpVU4AOGE7K85NoCI0.34923100_1496466517.png image 

So, the speaker is the mother of chotu. Kiran is wife of chotu's father. Chotu's father is not shown in the diagram.

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Filed Under: Blood Relations
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8 9270
Q:

There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?

A) 1/10 B) 1/9
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address
P(E) = favorable outcomes /total outcomes
Here favorable outcomes are '0'.
So probability is '0'.

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Filed Under: Probability
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5 9263
Q:

Find the cash realised by selling Rs. 2440, 9.5% stock at 4 discount (brokerage 1/4 %)

A) 2000 B) 2298
C) 2290 D) 2289
 
Answer & Explanation Answer: B) 2298

Explanation:

By selling Rs. 100 stock , cash realised = Rs.100-4-14=Rs.3834  

 

By selling Rs. 2400 stock, cash realised =Rs.3834*1100*2400 = Rs 2298.

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Filed Under: Stocks and Shares

12 9261