Quanta Test 8

Quanta Test 8

Q-1 37 is a-----
(a) Prime Number
(b) Even Number
(c) Odd Number
(d) None
Q-2 Which of them is a least odd prime number?
(a) 1
(b) 3
(c) 5
(d) 11
Q-3 In BODMAS, S stands for
(a) Simplification
(b) Subtraction
(c) Single
(d) None
Q-4 3Ö3 = (243)n, Find n
(a) 1/16
(b) 1/14
(c) 1/15
(d) None
Q-5 (log54) (log45)
(a) 1
(b) 2
(c) 3
(d) 4
Q-6 (log1) (log2) (log3) (log4)
(a) 2
(b) 3
(c) 0
(d) 9
Q-7 Which is prime?
(a) 4
(b) 6
(c) 11
(d) 14
Q-8 3 & 5 are
(a) Twin prime
(b) Thrice prime
(c) Fourth prime
(d) None
Q-9 (Ö10) (Ö10) =?
(a) 110
(b) 100
(c) 10
(d) 1000
Q-10 How many prime are there in
23 ´ 35 ´ 74 ´ 91
(a) 12
(b) 13
(c) 14
(d) 19
Q-11 Find (2 – ¾) (2 – 4/5) (2 – 5/6)
(a) 8/5
(b) 7/4
(c) 7/9
(d) None
Q-12 Find the sum of 15 natural No.
(a) 121
(b) 120
(c) 124
(d) None
Q-13 Find the unit digit of 319 ´ 411 ´ 335
(a) 4
(b) 5
(c) 1
(d) 9
Q-14 HCF 32 ´ 42 ´ 53, 42 ´ 31 ´ 52
(a) 1300
(b) 1200
(c) 1350
(d) 1950
Q-15 15 – 16 =?
(a) 1
(b) – 1
(c) 2
(d) 3
Q-16 (– 1)3 + (– 1)4 + 33
(a) 26
(b) 27
(c) 28
(d) 29
Q-17 9x2 + 15x + 11 is
(a) Binomial
(b) Trinomial
(c) a & b
(d) None
Q-18 In binomial how many Terms are the
(a) 2
(b) 3
(c) 4
(d) 9
Q-19 (– 1)51 + 4(– 1)50
(a) 3
(b) 5
(c) 6
(d) None
Q-20 In x2 – 35x + 40 = 0
Find the sum of roots
(a) 40
(b) 1
(c) 35
(d) None
Q-21 Find the No. of roots 5x2 + 6x – 17 = 0
(a) 2
(b) 3
(c) 5
(d) None
Q-22 Ö(16 +Ö81)
(a) 5
(b) 6
(c) 7
(d) 11
Q-23 Ö(20 + Ö(13 +Ö144))
(a) 5
(b) 6
(c) 7
(d) 11
Q-24 Find the order of 3Ö14
(a) 2nd
(b) 3rd order
(c) 5th
(d) None
Q-25 Ö3 =?
(a) 1.41
(b) 1.732
(c) 1.4125
(d) None

Answers:

1. a Prime Number
2. b 3
3. b Subtraction
4. c 1/15
5. a 1
6. c 0
7. c 11
8. a Twin Prime
9. c 10
10. b 13
11. b 7/4
12. b 120
13. b 5
14. b 1200
15. b – 1
16. b 27
17. b Trinomial
18. a 2
19. a 3
20. c 35
21. a 2
22. a 5
23. a 5
24. b 3rd order
25. b 1.732

Reasons:

4 3Ö3 = (243)n
31/3 = (35)n
31/3 = 35n
5n = 1/3, n = 1/15
5 (log54) (log45) = (log4/log5) ´ (log5/log4) = 1
6 Here log1 = 0
10 Number of prime = 3 + 5 + 4 + 1 = 13
11 (5/4) (6/5) (7/8) = 7/4
12 1 + 2 + 3+ ………..+15 = å15 = 15(15 + 1)/2 = 15(16)/2 = 120
14 HCF = 3 ´ 16 ´25 = 1200
23 Ö(20 + Ö(13 + 12)) = Ö(20 + Ö25)
Ö(20 + 5) = Ö25 = 5