21)

Find the value of the following expression:
\( \frac{4 \frac{1}{3}+3 \frac{1}{3} \times 1 \frac{4}{5} \div 3 \frac{3}{4} \times\left(6 \frac{1}{4} \text { of } 1 \frac{1}{15}\right)}{\frac{2}{3} \div \frac{5}{6} \times \frac{2}{3}}\)

SSC CGL 2022

A)

\(12 \frac{1}{2}\)

B)

\(28 \frac{1}{8}\)

C)

\(\frac{1}{8}\)

D)

\(289 \frac{3}{8}\)

22)

Find the value of the following expression:
-5 + 5 + 625 ÷ 5 × 5

SSC CGL 2022

A)

605

B)

625

C)

25

D)

121

23)

Simplify \([(5{1\over4}\div 3{1\over 2}\times{5\over12})-{3\over16}]\div\)\((3{4\over7}\div{5\over14}of\space6{2\over3})\space of\) \(1{1\over3}\) .

SSC CGL 2022

A)

\(\frac{7}{32}\)

B)

\(\frac{5}{32}\)

C)

\(\frac{3}{32}\)

D)

\(\frac{17}{32}\)

24)

Simplify \( \frac{\cos 45^{\circ }}{\sec 30^{\circ}+ cosec30^{\circ}}\)

SSC CGL 2022

A)

\(\frac{3\sqrt{2}-\sqrt{6}}{8}\)

B)

\(\frac{\sqrt{3}}{2\sqrt{2}-2\sqrt{6}}\)

C)

\(\frac{3\sqrt{2}+\sqrt{6}}{8}\)

D)

\(\frac{\sqrt{3}}{2\sqrt{6}-2\sqrt{2}}\)

25)

Which of the following numbers is a divisor of \((49^{15} - 1)\) ?

SSC CGL 2022

A)

8

B)

14

C)

46

D)

50

26)

If \(\frac{\left(17\right) ^{3}+\left( 7\right) ^{3}}{(17^{2}+7^{2}-k)} =24\), then what is the value of k?

SSC CGL 2022

A)

24

B)

128

C)

119

D)

109

27)

if\( \frac{4\left[ \left( 17\right) ^{3}-\left( 7\right) ^{3}\right] }{\left( 17^{2}+7^{2}+p\right) } =40\), then what is the value of p?

SSC CGL 2022

A)

119

B)

-129

C)

-119

D)

129

28)

The value of \({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)

SSC CGL 2022

A)

80

B)

62080

C)

776

D)

40

29)

The value of \(\frac{1.6\times1.6\times1.6-1.6\times1.6\times1.6}{1.6\times1.6+1.6\times1.6+1.6\times1.6}\) is:

SSC CGL 2022

A)

-1

B)

1

C)

0

D)

2