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

Quanta 7

Quanta

Q-1 35.38 × 0.64 + 8.631 = ?
(a) 31.273
(b) 31.2742
(c) 39.56
(d) None
Q-2 (25/6 + 32/4)6/(25/6 + 32/4)2 = X
Find X
(a) (25/6 + 22/4)4
(b) (25/6 + 22/4)3
(c) (25/6 + 22/4)1
(d) None
Q-3 1 / (6/5) + 1\ (25/6) =?
(a) 151/150
(b) 131/140
(c) 131/660
(d) None
Q-4 A0 =?
(a) 2
(b) 1
(c) 3
(d) 9
Q-5 If Ax = A0, Find x
(a) 1
(b) 0
(c) 3
(d) 2
Q-6 If Ax/Ay = 1, Find x – y
(a) 0
(b) 1
(c) 3
(d) 9
Q-7 5x2 =125, find x
(a) Square root of 2
(b) Square root of 3
(c) Square root of 4
(d) Square root of 5
Q-8 Square root of 0.0121 + Square root of 0.0256 + Square root of 0.0196 =?
(a) 0.42
(b) 0.41
(c) 0.49
(d) 0.50
Q-9 ( Square root of 8)x ( Square root of 5)x = 40
(a) 3
(b) 2
(c) 5
(d) 9
Q-10 A = 5, 6 = 16/21 find Square root of A – B
(a) Square root of 90
(b) Square root of 89
(c) Square root of 91
(d) Square root of 20
Q-11 (9/5) (10/8) – (7/5) (10/8) =?
(a) 2/3
(b) ½
(c) ¾
(d) 5/9
Q-12 When P:Q = ½, Q:R = ¾, R:T = 4/5
Then find P/T
(a) 3/11
(b) 3/10
(c) 3/19
(d) 3/25
Q-13 4( –5) (–1)2 (–1)3 =?
(a) 20
(b) – 20
(c) – 25
(d) None
Q-14 3 ÷ 3 of 3/ 4 ÷ 4of 4
(a) 4/3
(b) 4/4
(c) 5/3
(d) ¾
Q-15 Ax = Ay, then find relation between x & y
(a) x = y
(b) x = 2y
(c) x = 3y
(d) x = 5y
Q-16 In 3/9, 5/11, 13/21, tell about denominator
(a) 3,5,13
(b) 3,5,21
(c) 9,11,21
(d) None
Q-17 In 5/19, 6/21, 19/20, tell about numerator
(a) 5,6,19
(b) 19, 21, 20
(c) 5, 15, 21
(d) None
Q-18 Find HCF of (15, 135, 150)
(a) 16
(b) 15
(c) 19
(d) 20
Q-19 (16) × (5x) = (800)
Find x
(a) 0
(b) 1
(c) 2
(d) 3
Q-20 15 ÷ 25 + 15 × 3 of 3
(a) 677/5
(b) 678/5
(c) 629/9
(d) 670/11
Q-21 When x = 125, y = 729
Find (x-4/3 + y-2/3)1/2
(a) (1/625 + 1/11)
(b) (1/625 + 1/81)1/2
(c) (1/625 + 1/11)1/2
(d) None
Q-22 What will be the mean proportional between 5 & 125 ?
(a) 26
(b) 25
(c) 23
(d) None
Q-23 (–1)4 (–1)5 (–1)6 =?
(a) –1
(b) + 1
(c) + 2
(d) 2
Q-24 Sin 0 =?
(a) 0
(b) 1
(c) ½
(d) Square root of 3/2
Q-25 Cos 0 =?
(a) 1
(b) 2
(c) 3
(d) 5

Answers:

1. b 31.2742
2. a (25/6 + 22/4)4
3. a 151/150
4. b 1
5. b 0
6. a 0
7. b Square root of 3
8. b 0.41
9. b 2
10. b Square root of 89
11. b 1/2
12. b 3/10
13. a 20
14. a 4/3
15. a x = y
16. c 9,11,21
17. a 5,6,19
18. b 15
19. a 0
20. b 678/9
21. b (1/625 + 1/81)1/2
22. b 25
23. a – 1
24. a 0
25. a 1

Reasons:

1. 3538 + 0.64 + 8.631 = (22.6432) + 8.631 = 31.2742
2. (25/6 + 22/4)6 – 4
= (25/6 + 22/4)4
3. 1 / (6/5) + 1\ (25/6) = 5/6 + 6/25 = 125 + 36/150 = 151/150
7. 5x2 =125, x2 = 3, x = Square root of 3
8. Square root of 0.0121 + Square root of 0.0256 + Square root of 0.0196 = 0.11 + 1.6 + 0.14 = 0.41
9. ( Square root of 8)x ( Square root of 5)x = 8x/2 5x/2= (40)x/2 = 40
x/2 = 1 , x = 2
10 Square root of A – B = Square root of 5 – 16/21 = Square root of 105 – 16 = Square root of 89
11 10/8(9/5 – 7/5)
5/4(2/5)= ½
12 P/T = P/Q × Q/R × R/T
= ½ × ¾ × 4/5 = 3/10
13 4( –5) (1) (–1) =20
14 3 ÷ 3 of 3/ 4 ÷ 4of 4 = 3 ÷ 9/4 ÷ 16 = 4/3
18. HCF of (15,135,150) = HCF of (15, !35,150)
= HCF of (15, 15) = 15
20 15 ÷ 25 + 15 × 3 of 3
15÷ 25 + 15 × 9
15/25 + 15 × 9
3/5 + 15× 9 = 3/5 + 135
3 + 675 /5 = 678/5
21 (x-4/3 + y-2/3)1/2 = (1/x4/3 + 1/y2/3)1/2
(1/(125)4/3 + 1/(729)2/3)1/2
(1/54 + 1/92)1/2 = (1/625 + 1/81)1/2
22 Square root of 5(125) = Square root of 6
25 = 25