Aptitude and Reasoning Questions

Q:

How many three digit numbers 'abc' are formed where two of the three digits are same ?

A) 252 B) 648
C) 243 D) 900
 
Answer & Explanation Answer: C) 243

Explanation:

Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10

 

First all possible case => 9(0 excluded) x 10 x 10 = 900

 

Second no repetition allowed =>9 x 9 x 8 = 648

 

Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)

 

Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

4 7892
Q:

If Reena’s age was twice of her present age, when subtracted from four times three years from hence, with three times the three years before her present age. What will be her age after one year ?

A) 22 yrs B) 21 yrs
C) 20 yrs D) 24 yrs
 
Answer & Explanation Answer: A) 22 yrs

Explanation:

Let Reena’s present age be 'K' yrs.
Given:{(K+3) x 4} - {(K-3) x 3)}
=> K = 21 yrs
So her present age is 21 yrs.
Then, her age after 1 year is 22 yrs.

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

6 7891
Q:

Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train?

A) 105 mts B) 115 mts
C) 120 mts D) 140 mts
 
Answer & Explanation Answer: D) 140 mts

Explanation:

Speeds of two trains = 30 kmph and 58 kmph

=> Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s

Given a man takes time to cross length of faster train = 18 sec

 

Now, required Length of faster train = speed x time = 70/9  x  18 = 140 mts.

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Q:

You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do ?

A) Jump out quickly to avoid embarrassment. B) call the conductor, give him the money and get the ticket.
C) Hand the money to someone sitting nearby to give it to the conductor D) Give the money to the driver.
 
Answer & Explanation Answer: B) call the conductor, give him the money and get the ticket.

Explanation:
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126 7882
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 7881
Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

A) 1:2 B) 1:3
C) 3:1 D) 1:9
 
Answer & Explanation Answer: A) 1:2

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 7879
Q:

How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ?

A) 59 B) 60
C) 61 D) 64
 
Answer & Explanation Answer: B) 60

Explanation:

The given digits are 1, 2, 3, 5, 7, 9  

A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.

 

Number of even numbers = ⁵P₃ = 60.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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1 7877
Q:

How many days will be there from 26th january 2008, to 15th may 2008(both days are included)?

A) 111 B) 112
C) 110 D) 113
 
Answer & Explanation Answer: A) 111

Explanation:

Number of days = (6 + 29 + 31 + 30 + 15) = 111

2008 is a leap year, number of days in february = 29

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26 7866