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Saturday, January 23, 2016

Quanta 13



Quanta


Q-1 5x + 6 = 252, then the value of x in
(a) 3
(b) 4
(c) –2
(d) 14
Q-2 a = 4, b = 9, what will be the value of
1/square root of a – square root of b
(a) 3
(b) – 1
(c) – 3
(d) 5
Q-3 x = 64, y = 125, then find the value of (x1/3 + y1/3)1/5
(a) 101/5
(b) 91/5
(c) 81/5
(d) None
Q-4 252 – 92 / (16) 4 =?
(a) 17/4
(b) 17/2
(c) 19/2
(d) None
Q-5 15.32 + 16.1 – 15.38
(a) 16/04
(b) 16.15
(c) 16.11
(d) 16.19
Q-6 square root of 40 × square root of 90 =?
(a) 5 square root of 10
(b) 6 square root of 10
(c) 11 square root of 10
(d) None
Q-7 515 × 54 =?
(a) 560
(b) 519
(c) 521
(d) 523
Q-8 5/9 + 11/7 – 1/3 + 1/9 =?
(a) 121/60
(b) 120/63
(c) 131/65
(d) 19/65
Q-9 3 ÷ 4 + 2 – 6 × 4
(a) – 31
(b) – 22
(c) – 33
(d) 64
Q-10 Which is at unit place of 255 × 135 × 111?
(a) 6
(b) 5
(c) 7
(d) 1
Q-11 15 ÷ 3 × 36 – 54 + 6
(a) 133
(b) 132
(c) 158
(d) None
Q-12 53 – 33/(52 + 32 + 15) =?
(a) 4
(b) 3
(c) 2
(d) 4
Q-13 (.31 × .31 – 0.11 × 0.11) / (0.31 + 0.11) = x, find the value of x
(a) 0.50
(b) 0.20
(c) 0.31
(d) None
Q-14 151 × 99
(a) 14449
(b) 14551
(c) 14751
(d) None
Q-15 99 × 99
(a) 9901
(b) 8801
(c) 1905
(d) None
Q-16 11 × 31 × 55, what will be at unit place?
(a) 5
(b) 6
(c) 7
(d) 8
Q-17 (a – b) (a2+ b2 +ab) =?
(a) a3 – b3
(b) a2 + b2
(c) a + c
(d) a + b
Q-18 a2 – b2 = (a – b)?
(a) (a + b)
(b) a – b
(c) a2 + b2
(d) None
Q-19 (15 + 25)2 – (15 – 25) 2 / 15 × 25 =?
(a) 5
(b) 4
(c) 8
(d) 9
Q-20 4 (– 3) ) – 1) ( – 2) =?
(a) – 24
(b) 24
(c) 15
(d) 18
Q-21 (–1)54 =?
(a) 1
(b) 2
(c) – 1
(d) 0
Q-22 (–1) + (–3) + (–6) =?
(a) – 10
(b) 10
(c) 11
(d) 9
Q-23 (–1)9 =?
(a) 2
(b) 1
(c) – 1
(d) 34
Q-24 1 + 1/(1/2) + 1/3 =?
(a) 10/5
(b) 10/3
(c) 9/5
(d) 11/3
Q-25 1 + 1/(1 + ½) = ?
(a) 5/4
(b) 5/2
(c) 5/9
(d) 15/4

Answers:

1. c –2
2. b –1
3. b 91/5
4. b 17/2
5. a 16.04
6. a 5Ö10
7. b 519
8. b 120/63
9. b –22
10. b 5
11. b 132
12. c 2
13. b 0.20
14. a 14449
15. b 8801
16. a 5
17. a a3 – b3
18. a (a +b)
19. b 4
20. a –24
21. a 1
22. a –10
23. c –1
24. b 10/3
25. b 5/2

Reasons:

1. 5x + 6 = (52)2 = 5x + 6 = 54
x + 6 = 4 , x = 4 – 6 = –2
2. 1/ square root of a – square root of b = 1/ square root of 4 – square root of 9 = 1/
2 – 3 = 1/ –1 = –1
3. (x1/3 + y1/3)1/5 = (641/3 + 1251/3)1/5 = (4 + 5)1/5 = 91/5
4. 252 – 92/(16)4 = (25 – 9) (25 + 9)/(16)4 = (16) (34)/16(4) = 34/4 = 17/2
5. 15.32 + 16.1 – 15.38
31.42 – 15.38 = 16.04
6. square root of 40 × square root of 90 = 2 square root of 10 + 3 square root of10
= 5 square root of10
7. 515 × 54 = 1515 + 4 = 1519
8. (35 +99 – 21 + 7)/63 = [(35 + 99 + 7) –21]/63
= 141 – 21/63 = 120/63
9 3 ÷ 4 + 2 – 6 × 4
¾ + 2 – 6 × 4 = ¾ + 2 – 24 Bodmas
(11/4) – 24 = 11 – 96/4 = –88/4 = –22
11 15 ÷ 3 × 36 – 54 + 6
= 5 × 36 – 54 + 6
180 – 51 + 6 = 180 – 54 = 132
12 53 – 33/(52 + 32 + 15)= (5 – 3) (52 + 32 + 15) /52 + 32 + 15) = 2
13 (.31)2 –(0.11)2 / (0.31 + 0.11) = (0.31 – 0.11) (0.31 + 0.11)/(0.31 + 0.11)
= 0.20
14 151 × ( 100 –1) = 15100 – 151 = 1449
15 (99)2 = (100 – 1)2 = 1000 + 1 – 200
= 10001 – 200 = 8801
19 (15 + 25)2 – (15 – 25)2 / 15 × 25 = 4
Because (a + b)2 – (a – b)2/ab

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