Aptitude and Reasoning Questions

Q:

If it is possible to form a number with the second, the fifth and the eighth digits of the number 31549786, which is the perfect square of a two - digit even number, which of the following will be the second digit of that even number ?

A) 1 B) 4
C) 6 D) None of these
 
Answer & Explanation Answer: B) 4

Explanation:

The 2nd, 5th and 8th digits of the number 31549786 are 1, 9 and 6 respectively.

 

The perfect square of a two - digit even number, formed using the digits 1, 9 and 6 is 196.

And,  14 x 14 = 196 

 

So, the required even number is 14. Clearly, its second digit is 4.

 

Hence, the answer is (b).

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12 7932
Q:

Tom's father is thrice as old as Tom. 10 years ago Tom's father's age was 7 times his age. What is Tom's current age? 

 

 

A) 17 years  B) 16 years 
C) 15 years  D) 14 years
 
Answer & Explanation Answer: D) 14 years

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

24 7923
Q:

Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik.

Question:
Who is the youngest ?

A) Veeru B) Karthik
C) Vishal D) Raghu
 
Answer & Explanation Answer: B) Karthik

Explanation:

Let Priyatham's age = x

Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4

So, the descending order of ages is :

Veeru > Vishal > Priyatham > Raghu > Karthik

Therefore,  Karthik is the youngest.

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Filed Under: Logical Sequence of Words
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

14 7920
Q:

Which of the following has most number of divisors?

A) 99 B) 101
C) 176 D) 182
 
Answer & Explanation Answer: C) 176

Explanation:

99  = 1 x 3 x 3 x 11

101= 1 x 101

176= 1 x 2x 2 x 2 x 2 x 11

182= 1 x 2 x 7 x 13

So, divisors of 99 are 1, 3, 9, 11, 33, 99

      divisors of 101 are 1,101

      divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176

      divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

Hence , 176 hasthe most number of divisors. 

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Filed Under: HCF and LCM

8 7916
Q:

On reaching the railway station, you find that the train you wanted to catch is just to start and there is hardly any time for purchasing the ticket. The best thing for you is to :

A) rush to the train rather than miss it and inform the T.T.I. at the next stoppage about your inability to purchase the ticket. B) rush to the train and perform your journey quietly.
C) first purchase the ticket and then catch the train if it is there. D) miss the train rather than take the risk of boarding the moving train.
 
Answer & Explanation Answer: A) rush to the train rather than miss it and inform the T.T.I. at the next stoppage about your inability to purchase the ticket.

Explanation:
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223 7916
Q:

In one year, the Amount collected for social welfare, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the amount was 7920, what was it in the beginning ?

A) 8800 B) 8650
C) 8000 D) 8980
 
Answer & Explanation Answer: C) 8000

Explanation:

Let the amount collected be 'A'
Then, from the given conditions,
A x 110/100 x 90/100 = 7920
A x 0.99 = 7920
A = 7920/0.99
=> 8000

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

7 7915
Q:

Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2 B) 1;3
C) 1:4 D) 1:5
 
Answer & Explanation Answer: A) 1:2

Explanation:

 4×3.14×r2 : 4×3.14×r2 = 1 : 2  

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

10 7914
Q:

The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ?

A) 12 years B) 10 years
C) 14 years D) 13 years
 
Answer & Explanation Answer: A) 12 years

Explanation:

Given the average age of couple and their son = 40

=> Sum of age (H +W +S) = 40×3

Let the age of daughter in law at the time of marriage = D years

Now after 10 years,

(H + S +W) + 3×12 + D +12 + 10 = 38×5

178 + D = 190

D = 190 -178 = 12 years

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

13 7909