algebraic expressions Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Answer: (c)

$x^ 2$ – x – 6 > 0

or, $x^2$ – 3x + 2x – 6 > 0

or, x(x – 3) + 2(x – 3) > 0

or, (x – 3) (x + 2) > 0

or, x = 3 or – 2

∴ x < – 2 or x > 3

Answer: (c)

Let the two-digit number be 10x + y

Then x + y =$1/5{(10x+y-10y-x)}$

or, x+y=$9/5$(x-y)

or,4x-14y=0 ⇒ $x/y=7/2$

Using componendo & dividendo, we have,

${x+y}/{x-y}={7+2}/{7-2}=9/5$ i.e., x – y = 5k

Here k has the only possible value, k = 1. Because the difference of two single-digit numbers will always be of a single digit.

Answer: (e)

Given expression is

$x^2 – 3x + 2 – 2x + 4 > 0 or, x^2 – 5x + 6 > 0$

or, $x^2$ – 3x – 2x + 6 > 0

or, x (x – 3) – 2 (x – 3) > 0 or, (x – 3) (x –2) > 0

or, x > 3 or, x < 2

Answer: (e)

Let the cost of a pen and a pencil be Rs. 'x' and Rs. 'y' respectively. We have to find (x – y).

From the question,

2x + 3y = 86 ..... (i)

4x + y = 112 ......(ii)

Subtracting (i) from (ii), we get

2x – 2y = 26 or, x – y =13

Answer: (d)

Let the no. be N.

Now, ${3N}/5-N/2=30$ or $N/10$=30

or, N = 300

80% of N = 240