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1. If we express 12(4/15)% as a fraction, then it is equal
to

Correct Answers :

[A]

Explanation :

12(4/15)% = 184/15%. As a fraction, the value = 184/(15 x 100) = 46/375

2. What is 10% of 20% of 25% of 100?

Correct Answers :

[A]

Explanation :

10% of 20% of 25% of 100 = 10/100 x 20/100 x 25/100 x100 =0.50

3.Which of the following is the largest number?

Correct Answers :

[A]

Explanation :

It can be clearly seen that 40% of 400 = 160 is the highest number

4. If 30% of a number is 300, then 50% of that number is:

Correct Answers :

[D]

Explanation :

0.30N = 300 = > 1000. Thus, 0.50 x 1000 = 500.

5. If 25% of x = 30% of y, then find the value of x if
y = 5000.

Correct Answers :

[D]

Explanation :

25% of *x* = 30% of 5000 or 0.25*x* = 1500 = 6000

6. 30% of *a*% of *b* is 25% of *b*% of *c*. Which of the
following is *c*?

Correct Answers :

[D]

Explanation :

(30/100) X (a/100) X (b) = (25/100) X (b/100) X (c)
= 30*a* = 25*c*, *c* = 1.2*a*

7. 20% of a number when subtracted from 108, gives
the number itself. Find the number.

Correct Answers :

[D]

Explanation :

Check the options. If you check with Option d = 90, you get --> 108 – 20% of 90 = 108 – 18 = 90. This matches the given requirement and hence Option (d) is the correct answer.

8. When 40% of a number *A* is added to another number
*B*, *B* becomes 125% of its previous value. Then which of the following is true regarding the values
of *A* and *B*?

Correct Answers :

[D]

Explanation :

B + 40% of A = 125% of B

40% of A = 25% of B.

i.e. 0.4A = 0.25B

A/B = 5/8

Apparently it seems that B is bigger, but if you
consider A and B to be negative the opposite would
be true.

Hence, option (d) is correct.

9. The height of a triangle is increased by 30%. What
can be the maximum percentage increase in length
of the base so that the increase in area is restricted
to a maximum of 90%?

Correct Answers :

[C]

Explanation :

The area of a triangle depends on the product: base
X height.Since, the height increases by 30% and the area has
to increase by 90% overall, the following PCG will
give the answer. Let 100 be the original area.

The required answer will be 60/130 X 100 = 46.15%

10. The length, breadth and height of a room in the
shape of a cuboid are increased by 10%, 20% and
50%, respectively. Find the percentage change in the
volume of the cuboid.

Correct Answers :

[D]

Explanation :

The volume goes up by: Hence, 98%.

11. Mr. Ram is worried about the balance of his monthly
budget. The price of petrol has increased by 50%. By what percent should he reduce the consumption
of petrol so that he is able to balance his budget?

Correct Answers :

[A]

Explanation :

The following PCG will give the answer:

Hence, the percentage reduction required is 33.33% (50/150).

12. In Previous Questions, if Mr. Ram wanted to limit the increase
in his expenditure to 20% on his basic expenditure on petrol then what should be the corresponding
decrease in consumption?

Correct Answers :

[D]

Explanation :

100 ------ --> 150 ------- --> 120.

The reduction from 150 to 120 is 20% and hence, it means that he needs to reduce his consumption by
20%.

13. Ashok sells his goods 50% dearer than Shankar and
20% dearer than Bishnu. How much percentage is Bishnu’s goods dearer than Shankar’s?

Correct Answers :

[B]

Explanation :

14. In an election between 2 candidates, Chaman gets
80% of the total valid votes. If the total votes were 12000, what is the number of valid votes that the
other candidate Dhande gets if 15% of the total votes were declared invalid?

Correct Answers :

[D]

Explanation :

Total votes = 12000. Valid votes = 85% of 12000 = 10200. Chaman gets 80% of 10200 votes = 8160 votes and Dhande would get 10200 – 8160 = 2040 Votes.

15. In a physical measurement, by mistake Shyam gave
his height as 25% more than normal. In the interview panel, he clarified that his height was 5 feet 5 inches.
Find the percentage correction made by the candidate from his stated height to his actual height.

Correct Answers :

[A]

Explanation :

If Shyam has inadvertently increased his height by 25% the correction he would need to make to go back to his original height would be to reduce the stated height by 20%.

16. Raunak generally wears his father’s coat. Unfortunately,
his cousin Vikas told him one day that he was wearing a coat of length more than his height by
15%. If the length of Raunak’s father’s coat is 345 cm then find the actual length (in cm) of his coat..

Correct Answers :

[C]

Explanation :

Let Raunak’s height be H. Then, H X 1.15 = 345, H = 345/1.15 = 300.

17. A number is mistakenly divided by 2 instead of being
multiplied by 2. Find the percentage change in the result due to this mistake.

Correct Answers :

[D]

Explanation :

Let the number be 100. Then, 200 should be the
correct outcome. But instead the value got is 50.

Change in value = 200 – 50 = 150. The percentage
change in the value = 150 X 100/200 = 75%. Alternately,
you could think of this as the number being
‘x’ and the required result being 2x and the derived
result being 0.5x. Hence, the percentage change in
the result is 1.5x X 100/2x. Clearly, the value would
be 75%. (Note: In this case, the percentage change
in the answer does not depend on the value of ‘x’).

18. Sachin wanted to subtract 10 from a number. Unfortunately,
he added 10 instead of subtracting. Find the percentage change in the result.

Correct Answers :

[D]

Explanation :

The percentage difference would be given by thinking
of the percentage change between two numbers: (x – 10) to (x + 10) [‘What he wanted to get' to 'what
he got by mistake'].

The value of the percentage difference in this case
depends on the value of x. Hence, this cannot be
answered. Option (d) is correct.

19. In a mixture of 100 litres of milk and water, 25%
of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of
the mixture?

Correct Answers :

[A]

Explanation :

From the first statement we get that out of 100 litres of the mixture, 25 litres must be milk. Since, we are adding water to this and keeping the milk constant, it is quite evident that 25 litres of milk should correspond to 20% of the total mixture. Thus, the amount in the total mixture must be 125, which means we need to add 25 litres of water to make 100 litres of the mixture.

20. A landowner increased the length and the breadth
of a rectangular plot by 20% and 30% respectively. Find the percentage change in the cost of the plot
assuming land prices are uniform throughout his plot.

Correct Answers :

[C]

Explanation :

Let the area of the land is 100 square units. On
increasing the length of the land by 20% the area
will get increased by 20%. Similarly on increasing
the breadth by 30% the area would get increased by
30%. The answer can be thought on the following
percentage change graphic (PCG):

Hence, the required answer is 56%.

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