percentage Model Questions & Answers, Practice Test for ssc cgl tier 1

Question :6

The population of a city increases at the rate of 4% per annum. There is an additional annual increase of 1 % in the population due to the influx of job seekers. Therefore, the % increase in the population after 2 years will be :

Answer: (b)

The net annual increase = 5%.

Let the initial population be 100.

Then, population after 2 years

= 100 × 1.05 × 1.05 = 110.25

Therefore, % increase in population

= (110.25 – 100) = 10.25%

Question :7

If the length of a rectangle is increased by 10% and the area is unchanged, then by how much per cent does the breadth decrease?

Answer: (b)

Area of Rectangle = length × breadth

Here, length is increased by 10%.

But area is constant so that breadth is decreased.

Percentage decrease by = ${b - {100b}/110}/b × 100 = 100/11%$

Question :8

In an examination it is required to get 336 aggregate marks to pass. A student gets 35% marks and is declared failed by 42 marks. What are the maximum aggregate marks a student can get?

Answer: (e)

Let the maximum marks be x

According to the question,

${35x}/100 + 42$ = 336

x = 840

Question :9

The difference between 38% of a number and 24% of the same number is 135.10. What is 40% of that number?

Answer: (d)

According to the question,

(38 – 24)% of number = 135.10

or, number × $14/100$ = 135.10

or, number = ${135.10 × 100}/14$ = 965

40% of 965 = $965 × 40/100 = 386$

Question :10

A tank is full of milk. Half of the milk is removed and the tank is filled with water. Again half of the mixture is substituted by water. This operation is repeated thrice. The percentage of milk after third operation is

Answer: (a)

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