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Q:

A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work ?

A) 8.7 hrs	B) 5.2 hrs
C) 5 hrs	D) 7.5 hrs

Answer & Explanation Answer: D) 7.5 hrs

Explanation:

Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs

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Filed Under: Time and Work
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Q:

What percent is 120 of 85 ?

A) 133.33 %	B) 141.17 %
C) 145.54 %	D) 139.29 %

Answer & Explanation Answer: B) 141.17 %

Explanation:

$\frac{P x 85}{100} = 120$

=> p = 12000/85 = 141.17 %

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Filed Under: Percentage
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Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48	B) 52
C) 38	D) 42

Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = $\frac{800 x 18}{60 x 5}$ = 48 sec.

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Filed Under: Time and Distance
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Q:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work	B) One-fourth work
C) Half work	D) Two-third work

Answer & Explanation Answer: C) Half work

Explanation:

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

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Filed Under: Time and Work
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Q:

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

A) Rs. 22.5	B) Rs. 2.5
C) Rs. 202	D) Rs. 25

Answer & Explanation Answer: A) Rs. 22.5

Explanation:

We know that I = PTR/100
=> P = 20250/4.5 = 4500
Now, new Interest at 5% = 4500x1x5/100 = 225
Now the additional amount = 225 - 202.5 = Rs. 22.5

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Filed Under: Simple Interest
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Q:

A number increased by 30% gives 390. The number is

A) 180	B) 300
C) 480	D) 260

Answer & Explanation Answer: B) 300

Explanation:

Let the number be 'N'
Given N + 30N/100 = 390
=> 130N/100 = 390
=> N = 390 x 10/13
=> N = 300.

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Filed Under: Percentage
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Q:

The simple interest on Rs. 25 for 4 months at the rate of 3 paise per rupee per month is :

A) 240 paise	B) Rs. 1.40
C) Rs. 2.20	D) Rs. 3

Answer & Explanation Answer: D) Rs. 3

Explanation:

I = PTR/100
I = 25 x 4 x 0.03/100
I = 0.03 x 100 = 300 Ps = Rs. 3

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Filed Under: Simple Interest
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Q:

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?

A) 15	B) 20
C) 10	D) 8

Answer & Explanation Answer: C) 10

Explanation:

Let the price of each note book be Rs.x.

Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.

Hence xy = 300

=> y = 300/x

(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy

=>5(300/x) - 10x - 50 = 0 => $- 150 + x^{2} + 5 x$

multiplying both sides by -1/10x

=> $x^{2} + 15 x - 10 x - 150 = 0$

=> x(x + 15) - 10(x + 15) = 0

=> x = 10 or -15

As x>0, x = 10.

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Filed Under: Simplification
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