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Q:

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A) 50m B) 40m
C) 60m D) 45m
 
Answer & Explanation Answer: C) 60m

Explanation:

Ans.
Given that length of first train + length of second train = 660
Speed of first train : Speed of second train = 5:8 =5x : 8x
Time taken to cross the poll by two trains = 4:3 =4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , GATE

Q:

At present, the sum of ages of 4 people is 76. After 7 years, the ratio will be 7:6:5:8. Find out the present age of C?

A) 12 B) 11
C) 17 D) 13
 
Answer & Explanation Answer: D) 13

Explanation:

Ans.
Currently :
A+B+C+D = 76
According to ques , after 7 years
A+B+C+D = 7x+6x+5x+8x = 76+7*4
26x = 76 + 28
X = 104/26
x = 4
C’s present age = 5x – 7 =20 – 7
                                     = 13

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , GATE

Q:

Marked price of an article is 1600 Rs. more than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price?

A) 5740 B) 5720
C) 5620 D) 5730
 
Answer & Explanation Answer: B) 5720

Explanation:

Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

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

Q:

In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?

A) 6000 B) 7000
C) 5000 D) 8000
 
Answer & Explanation Answer: A) 6000

Explanation:

Ans. 
Let B’s investment = x rs.
∴ A’s investment =( x + 1200) rs.
Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x
Now,let the total profit of A =y
∴ total profit of B = (y-280)
But total profit = 1240
⇒y+(y-280)=1240
⇒2y=1520
⇒y= 760
∴profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400
⇒x = 4800 rs.
⇒investment of A = 4800+1200
                          = 6000 rs.

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

Q:

The height and the slant height of a right circular cone are 24 cm and 25 cm, respectively. Considering π as 22/7 , find the curved surface area of the said cone.

A) 550 cm2 B) 572 cm2
C) 528 cm2 D) 539 cm2
 
Answer & Explanation Answer: A) 550 cm2

Explanation:
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Filed Under: Height and Distance
Exam Prep: AIEEE , Bank Exams , CAT

Q:

Read the given question and decide which of the following information is sufficient to answer the question.
What is the value of Information:
1)

 

2) = 180 - x°

A) Only 1 is sufficient. B) Neither 1 nor 2 is sufficient.
C) Either 1 or 2 is sufficient. D) Only 2 is sufficient.
 
Answer & Explanation Answer: A) Only 1 is sufficient.

Explanation:
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Filed Under: Quantitative Aptitude - Data Interpretation
Exam Prep: Bank Exams , CAT

Q:

A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?

A) 60 hrs B) 45 hrs
C) 40 hrs D) 35 hrs
 
Answer & Explanation Answer: B) 45 hrs

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

Q:

Find the missing number in the following series.
27, 29, 33, ?, 57

A) 30 B) 41
C) 40 D) 35
 
Answer & Explanation Answer: B) 41

Explanation:
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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT , GATE