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Q:

A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train  ?

A) 240 mts B) 270 mts
C) 260 mts D) 250 mts
 
Answer & Explanation Answer: A) 240 mts

Explanation:

Relative speed = 120 + 80 = 200 km/hr.
= 200 x 5/18 = 500/9 m/sec.

Let the length of the other train be L mts.
Then, (L + 260)/9 = 500/9 => L = 240 mts.

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

3 5552
Q:

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years  ?

A) 4.58 % B) 5.96 %
C) 6.52 % D) 4.98 %
 
Answer & Explanation Answer: B) 5.96 %

Explanation:

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 4477
Q:

A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A) 49 kmph B) 50 kmph
C) 51 kmph D) 52 kmph
 
Answer & Explanation Answer: A) 49 kmph

Explanation:

Speed of the train relative to man

= (125/10) m/sec = (25/2) m/sec.

[(25/2) x (18/5)] km/hr = 45 km/hr.

Let the speed of the train be 'x' km/hr.

Then, relative speed = (x - 4) km/hr.

x - 4 = 45 => x = 49 km/hr.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 5560
Q:

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15%  ?

A) 51.32 % B) 49.23 %
C) 48.4 % D) 46.8 %
 
Answer & Explanation Answer: C) 48.4 %

Explanation:

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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17 8892
Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

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

Explanation:

29 x 2 = 58
20 x 3 = 60
         -----------
               2 years

Therefore, the age of child is 2 years.

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Filed Under: Problems on Ages
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15 7874
Q:

Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ?

A) 4 days B) 8 days
C) 3 days D) 6 days
 
Answer & Explanation Answer: D) 6 days

Explanation:

4/10 + 9/x = 1     => x = 15 

 

Then both can do in 

1/10 + 1/15 = 1/6     => 6 days

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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19 16402
Q:

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

A) 11 lit B) 22 lit
C) 33 lit D) 44 lit
 
Answer & Explanation Answer: B) 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

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Filed Under: Alligation or Mixture
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43 21464
Q:

Simplify the following equation

[K-L2-K+L2]4K = a/b

A) K = b /a B) bL = -a
C) KL = 1 D) aK = -b
 
Answer & Explanation Answer: B) bL = -a

Explanation:

[(K-L)2-K+L2]4K = abK2+L2-2KL-K2+L2+2KL4K= ab

 

=> - 4KL/4K = a/b

 

=> L = - a/b

 

=> bL = -a

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Filed Under: Simplification
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6 26985