algebraic expressions Model Questions & Answers, Practice Test for ibps clerk prelims 2023

Question :16

If the number of barrels of oil consumed doubles in a 10-year period and if B barrels were consumed in the year 1940, what multiple of B will be consumed in the year 2000?

Answer: (c)

No. of 10-year periods = 6

2 × 2 × 2 × 2 × 2 × 2 × B = 64 B

Question :17

$1/5$ of a number is equal to $5/8$ of the second number. If 35 is added to the first number then it becomes 4 times of second number. What is the value of the second number?

Answer: (d)

Let x be the first number and y be the second number.

$1/5x=5/8y$ $∴ x/y=25/8 …….(i)$

x+35=4y or,$25/8y+34=4y$

∴ y = 40

Question :18

What should be the maximum value of Q in the following equation? 5P9 – 7Q2 + 9R6 = 823

Answer: (c)

For Q to be maximum. P and R will also be maximum,

i.e., P = R = 9.

So, by putting the value of P and R in

5P9 – 7Q2 + 9R6 = 823, we get Q = 7

Question :19

The difference between a number and its one-third is double of its one-third. What is the number?

Answer: (a)

Let the no. be x.

Then, $x-x/3=2/3x$

or $2/3x=2/3x$

So, can't be determined is the correct choice.

Question :20

The difference between a number and its three-fifths is 50. What is the number?

Answer: (d)

Suppose the number is N.

Then N – $3/5$N=50

⇒${2N}/5=50, ∴ N ={50×5}/2=125$

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