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

Question :6

$5{1/7}×8{1/6}÷7{7/8}$ = ?

Answer: (a)

?=$36/7×49/6×8/63$

= $16/3=5{1/3}$

Question :7

If x = (b – c) (a – d), y = (c – a) (b – d) and z = (a – b) (c – d), then what is $x^3 + y^3 + z^3$ equal to?

Answer: (b)

Given, x = (b – c) (a – d), y = (c – a) (b – d)

and z = (a – b) (c – d)

∴ x + y + z = (b – c) (a – d) + (c – a) (b – d) + (a – b) (c – d) = 0

∴ $x^3 + y^3 + z^3$ = 3xyz

Question :8

Which least number should be added to 8115 to make it a perfect square?

Answer: (b)

∴ required number = 91 × 91 – 8115 = 166

Question :9

If a, b and c are positive integers such that $1/{a + {1/{b + {1/ {c + {1/2}}}}} = {16}/{23}$ , then what is the mean of a, b and c ?

Answer: (a)

${16}/{23} = 1/{{23}/{16}} = 1/{1 + 7/{16}} = 1/{1 + (1/{{16}/7})} = 1/{1 + 1/{2 + (2/7)}}$

= $1/{1 + [1/{2 + (1/{7/2})}]} = 1/{1 + [1/{2 + {1/{3 + 1/2}}}]}$

On comparing equations we get a = 1, b = 2 and c = 3

Mean = a + b + c/3 = 6/3 = 2

Question :10

If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of {f(x) ± g(x)} (if it is non-zero) is

Answer: (c)

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