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

Question :26

A spider climbed 62$1/2$% of the height of the pole in one hour and in the next hour it covered 12$1/2$ % of the remaining height. If the height of the pole is 192 m, then distance climbed in second hour is:

Answer: (d)

Height climbed in second hour

= $12{1}/2 % of (100 - 62{1}/2)$% of 192 m

= $(25/2 × 1/100 × 75/2 × 1/100 × 192)$ m = 9 m.

Question :27

65% of a number is more than its $2/$5 th by 140. What is 30% of that number ?

Answer: (a)

Let the number be x

65%of x - ${2x}/5 = 140$

${65x}/100 - {2x}/5 = 140$

${65x - 40x}/100 = 140$

${25x}/100 = 140$

$x = 140 × 100/25 = 560$

Question :28

If the height of a cone is increased by 50%, then what is the percentage increase in the volume of the cone?

Answer: (c)

Volume of cone = $1/3 πr^2h$

Here radius is constant, then volume is directly proportional to height.

Now height increase 50%. So percentage increase in volume is 50%.

Question :29

A student secures 90% , 60% and 54% marks in test papers with 100, 150 and 200 respectively as maximum marks. The percentage of his aggregate is

Answer: (d)

Question :30

In an examination it is required to get 40% of the aggregate marks to pass. A student gets 261 marks and is declared failed by 4% marks. What are the maximum aggregate marks a student can get?

Answer: (e)

According to the question,

(40 – 4)% of x = 261

Max. marks = $261/36$ × 100 = 725

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