simplification Model Questions & Answers, Practice Test for ssc chsl tier 1 2024

Answer: (b)

$ 1/{x+1}+1/{x+4}=0$

x+4=-(x+1)

2x=-5

$x=-5/2=-2{1/2}$

Answer: (a)

Given, $x - 1/x = 1/3$

⇒3x - $3/x$ = 1

Squaring both sides,

$9x^2 + 9/{x^2}$ – 2 × 9 = 1

⇒$9x^2 + 9/{x^2}$ = 19

Answer: (a)

Let f(x) = $6x^2$ + kx + 10

If (x + 5) is a factor of f(x), then

f(–5) = 0

So, 6$(–5)^2$ + k(–5) + 10 = 0

⇒6 × 25 – 5k + 10 = 0

⇒5k = 150 + 10 = 160

∴ k = 32

Answer: (c)

205 × ? × 13 = 33625 + 25005

or 205 × ? × 13 = 58630

or ? = $58630/{205×13}$=22

Answer: (c)

Given, x + y + z = 0

∴ ${xyz}/{(x + y)(y + z)(z + x)} = {xyz}/{(- z)(- x)(- y)}$

= ${xyz}/{- xyz}$ = -1