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Q:

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ?

A) 1 : 2 B) 3 : 1
C) 4 : 7 D) 3 : 2
 
Answer & Explanation Answer: D) 3 : 2

Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27 x meters, and

length of the second train = 17 y meters.

(27 x + 17 y) / (x + y) = 23

=> 27 x + 17 y = 23 x + 23 y

=> 4 x = 6 y

=> x/y = 3/2.

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Filed Under: Problems on Trains
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Q:

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ?

A) 476190476 B) 48617
C) 47619 D) 4587962
 
Answer & Explanation Answer: C) 47619

Explanation:

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
    333333
----------------
        0

And 476190476 x 7 = 3333333333 but smallest number is 47619.

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Filed Under: Problems on Numbers
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Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?

A) 45/7 % B) 50/9 %
C) 51/7 % D) 47/ 9 %
 
Answer & Explanation Answer: B) 50/9 %

Explanation:

Let sum = S. Then, amount = 7S/6

S.I. = 7S/6 - S = S/6; Time = 3 years.

Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

A) 10 days B) 14 days
C) 11 days D) 9 days
 
Answer & Explanation Answer: A) 10 days

Explanation:

For 30 days he receives

30 x 25 = 750
               

Actually he gets 425

Therefore, Fine is 750 - 425 =  325

 

=> No of days absent = 325/(25+7.50)= 10

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

Name the malicious software that affected various computers recently in may 2017, and restricted users to access it until a ransom is paid to unlock it  ?

A) Bitcoinware B) Captiveware
C) Pay-offware D) Ransomware
 
Answer & Explanation Answer: D) Ransomware

Explanation:
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Filed Under: General Awareness
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

A) 1/7 B) 2/7
C) 1/2 D) 3/2
 
Answer & Explanation Answer: A) 1/7

Explanation:

A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Friday, Saturday}

Required Probability = 1/7

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Filed Under: Probability
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Q:

When is International Day of Families observed  ?

A) May 13 B) May 15
C) May 16 D) May 14
 
Answer & Explanation Answer: B) May 15

Explanation:

15 May. Theme of International Day of Family 2017 is “Families, education and well-being”.

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Filed Under: Important Days and Years
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Q:

The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ?

A) 51.8 % B) 49.25 %
C) 47.2 % D) 53.84 %
 
Answer & Explanation Answer: D) 53.84 %

Explanation:

100
65
-------
65 ------- 35
100 ------ ? => 53.84 %

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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