Exponents and Powers

17. What is the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1?

  • (A) 1
  • (B) 0
  • (C) –1
  • (D) 2

16. Find the value of x–3 if x = (100)1–4 ÷ (100)0?

  • (A) 1/1000000000
  • (B) 1000000000
  • (C) 1/1000000
  • (D) 1000000

15. By what number should we multiply (–29)0 so that the product becomes (+29)0?

  • (A) 0
  • (B) 1
  • (C) –1
  • (D) None of these

14. By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?

  • (A) 0
  • (B) 1
  • (C) –1
  • (D) None of these

13. What is the multiplicative inverse of (–7)–2 ÷ (90)–1?

  • (A) (–7)–2 ÷ (90)–1
  • (B) (90)–1 ÷ (–7)–2
  • (C) (–7)–1 ÷ (90)–2
  • (D) (90)–2 ÷ (–7)–1

12. If 53x–1 ÷ 25 = 125, find the value of x.

  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

11. How many times of 30 must be added together to get a sum equal to 307?

  • (A) 30
  • (B) 306
  • (C) 303
  • (D) 300

10. If 2n+2 – 2n+1 + 2n = c × 2n, find the value of c.

  • (A) 0
  • (B) 1
  • (C) –1
  • (D) 3

9. If 21998 – 21997 – 21996 + 21995 = K × 21995, then the value of K is

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

8. 72. Vaue of (1022 + 1020)/1020 is

  • (A) 10
  • (B) 1042
  • (C) 101
  • (D) 1022

7. Value of (x12 + x10)/x10 is

  • (A) x + 1
  • (B) x2 + 1
  • (C) x2
  • (D) x12

6. Which of the following has the largest value?

  • (A) 0.0001
  • (B) 102/106
  • (C) 1/106
  • (D) (1/106) ÷ 0.1

5. Which of the following has the smallest value?

  • (A) 0.001
  • (B) 10/104
  • (C) 1/105
  • (D) (1/105) ÷ 0.1

4. Which among the following terms is largest?

  • (A) (33)2
  • (B) 35
  • (C) 240
  • (D) 23 × 33

3. Which among the following terms is smallest?

  • (A) 22 × (22)3
  • (B) 38 ÷ 33
  • (C) 25+3
  • (D) 25 × 32

2. By what number should we multiply 33 so that the product may be equal to 37?

  • (A) 71
  • (B) 81
  • (C) 91
  • (D) 82

1. By what number should (–4)5 be divided so that the quotient may be equal to (– 4)3?

  • (A) (–4)2
  • (B) (–4)5
  • (C) (–4)3
  • (D) (–4)0