Quanta Test 9

Quanta Test 9

Q-1 Under root of(0 ´5) =?
(a) 1 (b) 0 (c) 3 (d) 9
Q-2 under root of25 under root of100 under root of36
(a) 350 (b) 360 (c) 300 (d) 310
Q-3 under root of 729/81 = under root of 441/x Find x
(a) 64 (b) 63 (c) 61 (d) 65
Q-4 Find under root of15 – 1 / under root of15 + 1
(a) (8 – under root of 15)/7 (b) (8 + under root of15)/7 (c) (8 – under root of15)/7 (d) None
Q-5 Find 1/under root of6 – under root of5
(a) under root of 6 + under root of 5 (b) under root of 6 + under root of 7 (c) under root of 5 + under root of 6 (d) None
Q-6 Find the following which is perfect square
(a) 431 (b) 411 (c) 451 (d) 441
Q-7 From the following which is a perfect cube
(a) 216 (b) 226 (c) 156 (d) 286
Q-8 under root of x/100 = 1/10
(a) 101 (b) 100 (c) 104 (d) None
Q-9 under root of 19 + under root of 15/under root of 19 – under root of 15 =?
(a) (17 under root of 285) /2 (b) (17 – under root of 285)/3 (c) 17 + under root of 285 (d) None
Q-10 (27)3 = 3x/3 , Find x
26 (b) 27 (c) 28 (d) 29
Q-11 under root of 729/x = 27/5, find the value of x
(a) 5 (b) 6 (c) 7 (d) 8
Q-12 Which four digit No. is a perfect square
(a) 2500 (b) 2600 (c) 2700 (d) 2800
Q-13 From the following which four digit No. is a perfect cube.
(a) 2000 (b) 1000 (c) 3000 (d) 3500
Q-14 under root of 17 ´ under root of 18
(a) 17.46 (b) 17.49 (c) 17.89 (d) 17.50
Q-15 LCM of 22, 6 is
(a) 2 (b) 4 (c) 6 (d) 12
Q-16 LCM of 45, 46, 47, 48, 411is
(a) 411 (b) 48 (c) 45 (d) None
Q-17 15 & 20 are two No. & HCF is
(a) 21 (b) 20 (c) 23 (d) 24
Q-18 HCF (11-1, 11-5, 11-9, 11-12)
(a) 1112 (b) 11-9 (c) 11-5 (d) 11-1
Q-19 HCF of 12, 12, 12 is
(a) 12 (b) 122 (c) 123 (d) None
Q-20 HCF of 25, 50, 100, 125
(a) 120 (b) 125 (c) 25 (d) None

Answers:

1. b 0
2. c 300
3. b 63
4. a (8 – under root of 15) /7
5. a under root of 6 + under root of 5
6. d 441
7. a 216
8. b 100
9. a (17 + under root of 285)/2
10. b 27
11. a 5
12. a 2500
13. b 1000
14. b 17.49
15. d 12
16. a 411
17. b 20
18. a 11-12
19. a 12
20. c 25

Reasons:

3 27/81 = 27/x, x = 63
4 under root of 15 – 1/under root of 15 + 1 = under root of 15 – 1 / under root of 15 + 1´ under root of 15 – 1/under root of 15 – 1
(under root of 15 – 1)2/ (under root of 15)2 – 1 = 15 + 1 – 2 under root of 15/15 – 1
16 – 2under root of 15 /14 = 2 (8 –under root of 15)/14 = 8 –under root of 15 /7
5 1/under root of 6 – under root of 5 = 1/ under root of 6 – under root of 5 ´ under root of 6 + under root of5/under root of6 + under root of5 = under root of 6 + under root of 5/(under root of 6)2 – (under root of 5)2
under root of 6 + under root of 5/ 6 – 5 = under root of 6 + under root of 5 /1 = under root of 6 + under root of 5
8 under root of x/100 = 1/10 = under root of x = 10, x = 100
9 under root of 19 + under root of 15/under root of 19 – under root of 15 ´ under root of 19 + under root of 15/under root of 19 + under root of15
(under root of19 + under root of15)2 / (19) – (15) = (under root of19 + under root of 15)2/4
(19 + 15 + 2under root of 19 under root of15)/4 = 34 + 2 under root of 285/ 4 = 17 + under root of 285 /2
10 (33)3 = 3x/3 = 39 = 3x/3
9 = x/3, x = 27
14 under root of17 ´under root of 18 = under root of 306 = 17.49
17 L.C.M. ´ HCF = Product of two No.
L.C.M. ´ 15 = 15 ´20
LCM = 300 /15 = 20
18 Take the least power