15. If 5x = 53 × 56, the value of x is
- (A) 3
- (B) 0
- (C) 9
- (D) 10
14. If u = (–1)2022 and v = (–1)2023, then u + v is equal to
- (A) 0
- (B) 2
- (C) –1
- (D) 1
13. If u = (–1)2022 and v = (–1)2023, then u × v is equal to
- (A) –1
- (B) 2
- (C) 3
- (D) 1
12. If u = (–1)2022 and v = (–1)2023, then which among the following is true?
- (A) u = v
- (B) u > v
- (C) u < v
- (D) None of these
11. If 2n+2 – 2n+1 + 2n = c × 2n, find the value of c.
- (A) 0
- (B) 1
- (C) –1
- (D) 3
10. If 21998 – 21997 – 21996 + 21995 = K × 21995, then the value of K is
- (A) 1
- (B) 2
- (C) 3
- (D) 4
9. Value of (1022 + 1020)/1020 is
- (A) 10
- (B) 1042
- (C) 101
- (D) 1022
8. Value of (x12 + x10)/x10 is
- (A) x + 1
- (B) x2 + 1
- (C) x2
- (D) x12
7. Which of the following has the largest value?
- (A) 0.0001
- (B) 102/106
- (C) 1/106
- (D) (1/106) ÷ 0.1
6. Which of the following has the smallest value?
- (A) 0.001
- (B) 10/104
- (C) 1/105
- (D) (1/105) ÷ 0.1
5. Which among the following terms is largest?
- (A) (33)2
- (B) 35
- (C) 240
- (D) 23 × 33
4. Which among the following terms is smallest?
- (A) 22 × (22)3
- (B) 38 ÷ 33
- (C) 25+3
- (D) 25 × 32
3. By what number should we multiply 33 so that the product may be equal to 37?
- (A) 71
- (B) 81
- (C) 91
- (D) 82
2. 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
1. How many times of 30 must be added together to get a sum equal to 307?
- (A) 30
- (B) 306
- (C) 303
- (D) 300