Number System and Simplification SSC CGL Questions

Number System and Simplification MCQ Questions

1.
Find the value of the following expression:
372 ÷ 56 × 7 - 5 + 2
SSC CGL 2021-11.04.2022-1
A.
58
B.
\(-2 \dfrac{95}{98}\)
C.
\(43 \dfrac{1}{2}\)
D.
\(2 \dfrac{93}{98}\)
ANSWER :
C. \(43 \dfrac{1}{2}\)
2.
Find the value of the following expression:
980 ÷ 35 × 16 + 4 - 2 × 2
SSC CGL 2021-11.04.2022-2
A.
\(\dfrac{7}{4}\)
B.
556
C.
448
D.
\(\dfrac{15}{2}\)
ANSWER :
C. 448
3.
Find the value of the following expression:
\[ \frac{5 - 35 \div 5 \times 15 + 5}{12 - 2} \]
SSC CGL 2021-12.04.2022-1
A.
-9.5
B.
-13.5
C.
-2.5
D.
11.5
ANSWER :
A. -9.5
4.
Find the value of the following expression:
\[ \frac{\tan^{3}45^{\circ} + 4\cos^{3}60^{\circ}} {2\,\text{cosec}^{2}45^{\circ} - 3\sec^{2}30^{\circ} + \sin30^{\circ}} \]
SSC CGL 2021-13.04.2022-1
A.
\(\dfrac{3}{4}\)
B.
1 +\(\sqrt{2}\)
C.
\(\dfrac{4}{3}\)
D.
3
ANSWER :
D. 3
5.
Find the value of the following expression:
\( \frac{3 \div 1 \times 2 + 5 - 2}{3 \times 3 - 2} \)
SSC CGL 2021-18.04.2022-3
A.
\( \frac{9}{7} \)
B.
\( \frac{19}{3} \)
C.
\( \frac{4}{7} \)
D.
\( \frac{4}{3} \)
ANSWER :
A. \( \frac{9}{7} \)
6.
Find the value of the following expression:
\(
\frac{
1\tfrac{2}{3} \div \tfrac{5}{6} \times 6 + \tfrac{4}{5} \times \tfrac{1}{2} + \tfrac{2}{3}
}{
2 - \Bigl[\,1\tfrac{1}{3} \times \left(-\tfrac{3}{5}\right) - 6\Bigl(\tfrac{3}{5} - \bigl(3 - \tfrac{3}{10}\bigr)\Bigr)\Bigr]
}
\)


SSC CGL 2021-19.04.2022-3
A.
-\( \frac{4}{3} \)
B.
\( \frac{4}{3} \)
C.
\( \frac{1}{7} \)
D.
-\( \frac{1}{7} \)
ANSWER :
A. -\( \frac{4}{3} \)