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Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years	B) 13 years
C) 14 years	D) 16 years

Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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Filed Under: Problems on Ages
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Q:

The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?

A) 6	B) 4
C) 8	D) 10

Answer & Explanation Answer: B) 4

Explanation:

Let the age of Manisha and Sudeshna is 5x and 6x years respectively.

According to the given data,

5x+8/6x+8 = 7/8

42x + 56 = 40x + 64

x = 4

Required Difference of their ages = (6 × 4) – (5 × 4)

= 4 years.

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Filed Under: Problems on Ages
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Q:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit ?

A) Rs. 8,640	B) Rs. 9,850
C) Rs. 10,000	D) Rs. 11,220

Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12

= 36 : 36 : 48

= 6 : 6 : 8

But given that the annual profit of B is Rs. 3000

=> 6 ratio = 3000

Then for the total annual profit of partners is

20 ratio = 3000 x 20/6 = 10,000.

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Filed Under: Partnership
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Q:

Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ?

A) 1:3	B) 2:1
C) 3:4	D) 4:7

Answer & Explanation Answer: C) 3:4

Explanation:

bank

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Filed Under: Volume and Surface Area
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Q:

In a row of boys, Haran is eleventh from the left and manoj is seventeenth form the right. When they exchange their places than Haran will be thirteenth from the left. Which of the following will be the new position of Manoj from the right ?

A) 11	B) 19
C) 13	D) 17

Answer & Explanation Answer: B) 19

Explanation:

exp.

Here total number of boys in the row = 11 + 19 = 13 + 17 = 30

Here after exchanging the places of Haran & Manoj

=> Manoj replaces Harans place of 11th from left

But in the question he asked Manoj's place from right = 30 - 11 = 19th place.

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Filed Under: Number, Ranking and Time Sequence Test
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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
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Q:

A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

A) 8 : 62.5	B) 55 : 8
C) 8 : 65	D) 64.4 : 9

Answer & Explanation Answer: A) 8 : 62.5

Explanation:

Article I Article II
-20 25%
5%
20% 25%

4 : 5

Now, Selling of first article = (4-20%) = 0.8

Selling of second article = (5+25%) = 6.25

Therefore the ratio of selling price = 8 : 62.5

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Filed Under: Profit and Loss
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Q:

The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?

A) 36 kmph	B) 30 kmph
C) 34 kmph	D) 40 kmph

Answer & Explanation Answer: B) 30 kmph

Explanation:

Let the speed of the faster train be 'S' kmph

Then speed of the slower train will be '(S-5)' kmph

Time taken by faster train = 350/S hrs

Time taken by slower train = 350/(S-5) hrs

$\frac{350}{s - 5} - \frac{350}{s} = 2 h r s 20 m i n = 2 \frac{1}{3} = \frac{7}{3}$

=> S = 30 km/hr.

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Filed Under: Problems on Trains
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