Explore topic-wise MCQs in ALGEBRA.

This section includes 20 Mcqs, each offering curated multiple-choice questions to sharpen your ALGEBRA knowledge and support exam preparation. Choose a topic below to get started.

1.

(216 / 1)–2/3 ÷ (27 / 1)–4/3 = ?

A. 4 /9
B. 9 / 4
C. 9 / 2
D. 3 / 2
Answer» C. 9 / 2
2.

Simplify the following (a4b6 / c8)3 × (b8c4 / a–6)–2 × (c6a6 / b4)2

A. a12 / b6. c20
B. a6 / b6 . c22
C. a7 / b6 . c20
D. None of these
Answer» B. a6 / b6 . c22
3.

Simplify: (256 / 576)1/4 × (64 / 27)–1/3 × (216 / 8)–1

A. 1 / 3√16
B. 1 / 18√6
C. 1 / 2√6
D. 1 / 3√6
Answer» C. 1 / 2√6
4.

Simplify: (1 / 64)0 + (64)–1/2 + (–32)4/5

A.
B.
C.
D.
Answer» B.
5.

The number of prime factors in6333× 7222× 8111

A. 1221
B. 1222
C. 1111
D. 1211
Answer» B. 1222
6.

If3x–3x–1=18,then the value ofxxis:

A. 3
B. 8
C. 27
D. 216
Answer» D. 216
7.

If2n-1+2n+1=320, then n is equal to:

A. 6
B. 8
C. 5
D. 7
Answer» E.
8.

If2n+4–2n+2=3, then n is equal to:

A. 0
B. 2
C. −1
D. −2
Answer» E.
9.

If 9n × 35 × (27)3 / 3 × (81)4 = 27, then the value of n is:

A. 0
B. 2
C. 3
D. 4
Answer» D. 4
10.

If 22n–1 = 1 / 8n–3, then the value of n is:

A. 3
B. 2
C. 0
D. –2
Answer» C. 0
11.

(1000)7 ÷ 1018 = ?

A. 10
B. 100
C. 1000
D. 10000
Answer» D. 10000
12.

(1 / 216)–2/3 ÷ (1 / 27)–4/3 = ?

A. 3 / 4
B. 2 / 3
C. 4 / 9
D. 1 / 8
Answer» D. 1 / 8
13.

(2.4 × 103)÷ (8 × 10–2) = ?

A. 3 × 10–5
B. 3 × 104
C. 3 × 105
D. 30
Answer» C. 3 × 105
14.

{1 / (216)–2/3} + { 1 / (256)–3/4} + {1 / (32)–1/5} =

A. 102
B. 105
C. 107
D. None of these
Answer» B. 105
15.

The value of (256)5/4is:

A. 512
B. 984
C. 1024
D. 1032
Answer» D. 1032
16.

If √3 = 1.732 is given. then the value of (2 + √3) / (2 – √3) = ?

A. 11.732
B. 13.928
C. 12.928
D. 13.925
Answer» C. 12.928
17.

simplify: {(6.25 )1/2× (0.0144)1/2+ 1} / {(0.027)1/3× (81)1/4​}

A. 0.14
B. 1.4
C. 1
D. 1.4
Answer» E.
18.

If √15 = 3.88, then what is the value of √(5 / 3) ?

A. 1.293
B. 1.2934
C. 1.29
D. 1.295
Answer» B. 1.2934
19.

The simplified value of (√3 + 1)(10 + √12)(√12 – 2)(5 – √3) is

A. 16
B. 88
C. 176
D. 132
Answer» D. 132
20.

Given √2 = 1.414 then the value of √8 + 2√32 – 3√128 + 4√50 is

A. 8.484
B. 8.526
C. 8.426
D. 8.876
Answer» B. 8.526