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

Answer: (c)

Let the ages of Harish and Seema be x and y respectively.

According to the question,

x.y = 240 ....... (i)

2y – x = 4 ........(ii)

Solving equations (i) and (ii), we get

y = 12 years

Answer: (e)

I. $x^2$ + 3x + 2 = 0

or, (x + 2) (x + 1) = 0

or, x = – 2 or, –1

II. $y^2$ – 4y + 1 = 0 or, y = 2 ± $√3$

Hence, y > x

Answer: (a)

In case I: Let the no. of children = x.

Hence, total no. of notebooks distributed

$1/8x.x or x^2/8$ .....(i)

In case II: no. of children = $x/2$

Now, the total no. of notebooks

= $16 ×x/2$ ..... (ii)

Comparing (i) & (ii), we get

$x^2/8=8x$

or, x = 64

Hence, total no. of notebooks

= ${64×64}/8=512$

Answer: (d)

Let the numerator and denominator be x and y respectively.

Then ${x+2}/{y+3}=7/9$

or, 9 (x + 2) = 7 (y + 3)

or 9x – 7y = 3 ...... (i)

${x-1}/{y-1}=4/5$

⇒ 5x – 4y = 1 ...... (ii)

Solving (i) and (ii), we get

x = 5, y = 6

Reqd fraction = $5/6$

Answer: (a)

3x – 5y = 5 ...(i)

And $x/{x+y}=5/7$⇒7x = 5x + 5y

⇒2x = 5y ... (ii)

From (i) and (ii), x = 5 and y = 2

∴ x – y = 3