Simplification SSC CHSL Questions

Simplification MCQ Questions

13.
The value of
\(\left(1\dfrac{1}{8}\div \dfrac{3}{4}\right)\div \left[\left(\dfrac{1}{2}\ \text{of}\ 1\dfrac{1}{2}\right)\div \left(3\dfrac{1}{2}-1\dfrac{1}{4}\right)\ \text{of}\ \dfrac{3}{4}-\dfrac{3}{4}\div 2\dfrac{1}{4}\right]\ \text{of}\ \dfrac{3}{4}\)
is:
SSC CHSL 2021-13.04.2021-1
A.
9
B.
18
C.
12
D.
6
ANSWER :
B. 18
14.
If x4 -142x2 + 1 = 0, then the value of \(x^{3} + \dfrac{1}{x^{3}}\) is:
SSC CHSL 2021-13.04.2021-2
A.
1962
B.
1952
C.
1692
D.
1592
ANSWER :
C. 1692
15.
Given that (2x + y)3 - (x+ 2y)3 = (x - y) [A(x2 + y2) + Bxy], the value of (2A - B) is:
SSC CHSL 2021-13.04.2021-2
A.
7
B.
6
C.
0
D.
1
ANSWER :
D. 1
16.
If a² + b² = 25, x² +y² = 17 and ax + by = 8, then what is the value of (ay − bx)?
SSC CHSL 2021-13.04.2021-2
A.
33
B.
25
C.
21
D.
19
ANSWER :
D. 19
17.
The marked price of an article is ₹1,000. After two successive discounts, it is sold for ₹600. If the first discount is x%, and the second discount is 25%, then what is the value of x?
SSC CHSL 2021-13.04.2021-2
A.
18%
B.
12%
C.
25%
D.
20%
ANSWER :
D. 20%
18.
The value of \(\dfrac{96 \div 16 \text{ of } 2 - 128 \times 2 \div 32 + 15 \text{ of } 4}{\dfrac{5}{6} \text{ of } \dfrac{2}{3}\left(1\dfrac{1}{3} - \dfrac{1}{4} - \dfrac{1}{6}\right)}\) is:
SSC CHSL 2021-13.04.2021-2
A.
\(\dfrac{55}{36}\)
B.
216
C.
\(-\dfrac{5}{36}\)
D.
396
ANSWER :
D. 396