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Q:

If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ?

A) 45 metric tonnes	B) 47 metric tonnes
C) 55 metric tonnes	D) 34 metric tonnes

Answer & Explanation Answer: A) 45 metric tonnes

Explanation:

2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton

i.e. 3 engines of latter type consumes 1 ton for one hour

Hence 9 engines consumes 3 tons for one hour

For 15 hours it is 15 x 3 = 45 metric tonnes.

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Filed Under: Time and Work
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Q:

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

A) Rs. 185	B) Rs. 154
C) Rs. 200	D) Rs. 177

Answer & Explanation Answer: C) Rs. 200

Explanation:

Let the C.P be 'x'
Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25
Now, if the S.P is 60 more, then the profit is 14%
=> 21x/25 + 60 = x + 14x/100
=> 114x/100 - 21x/25 = 60
=> (57 - 42)x/50 = 60
=> 15x/50 = 60
x = 3000/15 = 200

Therefore, the Cost price C.P = x = Rs. 200

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Filed Under: Profit and Loss
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Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A) 60%	B) 50%
C) 70%	D) 45%

Answer & Explanation Answer: C) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

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Filed Under: Profit and Loss
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Q:

The first effective vaccine against polio was prepared by ?

A) Robert Edwards	B) James Simpson
C) H Gibbon	D) Jonas E Salk

Answer & Explanation Answer: D) Jonas E Salk

Explanation:

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Filed Under: Inventions
Exam Prep: AIEEE
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Q:

By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at ?

A) Rs. 145	B) Rs. 245.1
C) Rs. 96	D) Rs. 75

Answer & Explanation Answer: C) Rs. 96

Explanation:

Michel earns Rs. 135 by investing Rs. 1620
To earn Rs. 8 how much he have to invest...?

= (8 x 1620)/135 = Rs. 96

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Filed Under: Stocks and Shares
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Q:

If you write down all the numbers from 1 to 100, then how many times do you write 4 ?

A) 11	B) 20
C) 17	D) 14

Answer & Explanation Answer: B) 20

Explanation:

4, 14, 24, 34, 44, 54, 64, 74, 84, 94 => has 11 number of (4's)
40, 41, 42, 43, 45, 46, 47, 48, 49 => has 9 number of (4's)
So, totally (11 + 9 = 20) number of 4's in 1 to 100.

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Filed Under: Numbers
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Q:

A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ?

A) Rs. 345.15	B) Rs. 245.1
C) Rs. 234.18	D) Rs. 456.65

Answer & Explanation Answer: A) Rs. 345.15

Explanation:

area of the plot = 120m x 60m = 7200 sq.m
area of plot excluding gravel = 117m x 57m = 6669 sq.m
area of gravel = 7200 sq.m - 6669 sq.m = 531 sq.m
cost of building it = 531 sq.m x 65 ps = 34515 ps
In Rs. = 34515/100 = Rs. 345.15.

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Filed Under: Area
Exam Prep: CAT , Bank Exams
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Q:

The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ?

A) 59	B) 43
C) 57	D) 47

Answer & Explanation Answer: D) 47

Explanation:

Let their ages be x, y, z
Hence given that x + y + z = 65
Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6
Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

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Filed Under: Problems on Ages
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