MCQOPTIONS
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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 | |