Quanta Test 2

Quanta Test 

Q-1 011 =?
(a) 11 (b) 0
(c) 2 (d) None

Q-2 Ö60 ´ Ö13
(a) Ö785 (b) Ö780
(c) Ö777 (d) None
Q-3 1 is
(a) Prime number
(b) Neither prime nor composite
(c) a & b
(d) None
Q-4 If S=15, P = 21, find eq.
(a) x2 + 12x + 19 = 0
(b) x2 + 26x + 181 = 0
(c) x2 + 15x + 21 = 0
(d) None
Q-5 Find the sum of 320th term
(a) 631 (b) 630
(c) 665 (d) 6:9
Q-6 What will be sum of 4 + 6 + 8 + 10 + 12 + 14
(a) 521 (b) 54
(c) 63 (d) 31
Q-7 Find 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16
(a) 73 (b) 74
(c) 71 (d) 72
Q-8 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15
(a) 106 (b) 107
(c) 108 (d) 109
Q-9 75 ´ 35
(a) 2635 (b) 2625
(c) 2665 (d) None
Q-10 Find 75 ´ 75
(a) 5663 (b) 5625
(c) 5663 (d) 1925
Q-11 Find 315.65 + 30.25 – 119.361
(a) 225 (b) 226.539
(c) 236.563 (d) None
Q-12 10% of 90 = x (15)
Find the value of x
(a) 3/91 (b) 3/5
(c) 3/11 (d) None
Q-13 x % of 120 + 315 = 300
(a) – 160/14 (b) – 150/12
(c) – 130/21 (d) None
Q-14 Find (522 – 502) / (52 – 50) (52 + 50)
(a) 2 (b) 1
(c) 3 (d) 4
Q-15 15.21 + 14.263 + x = 35.65
(a) 6.178 (b) 6.177
(c) 6.1 (d) None
Q-16 Find (153 + 123) /(15)2 – 15 ´ 12 + (12)2
(a) 26 (b) 27
(c) 28 (d) 29
Q-17 15.63 + 56 + 9.631 – x = 25.65
(a) 55.611 (b) 56.65
(c) 57.65
(d) 58.671
Q-18 (99) 11
(a) 1081
(b) 1089
(c) 1079
(d) 1069
Q-19 29/6 + 2 ⅓ + 31/6 = x
Find x
(a) 13.3
(b) 13.4
(c) 13.5
(d) None
Q-20 Ö125/5 + Ö81/3 + Ö25/5 = x
Find x
(a) 5
(b) 6
(c) 7
(d) 8
Q-21 Ö196 + Ö256 = x
(a) 30
(b) 32
(c) 31
(d) 63
Q-22 Ö169/Ö225 = Ö256/x
Find x
(a) 18.46
(b) 18.48
(c) 18.96
(d) 18.41
Q-23 (15 ´ 13) + 16 – 11 = x
Find x
(a) 200
(b) 205
(c) 209
(d) 210
Q-24 15 + 65 ¸ 13 – 11 ´ 13 = x
(a) – 122
(b) – 123
(c) – 124
(d) – 129
Q-25 105 + 65 – 56 of 2 = x
(a) 55
(b) 58
(c) 59
(d) 60

Answers:

1. b 0
2. b Ö780
3. b Neither Prime nor composite
4. b x2 + 26x + 181 = 0
5. b 630
6. b 54
7. d 72
8. c 108
9. b 2625
10. b 5625
11. b 226.539
12. b 3/5
13. b –150/12
14. b 1
15. b 6.177
16. b 27
17. a 55.611
18. b 1089
19. c 13.5
20. b 6
21. a 30
22. a 18.46
23. a 200
24. b –123
25. b 58

Reasons:      5 Sum of 320th term = 3(20(20 + 1)/2 = 30(21) = 630
6 4 + 6 + 8 + 10 + 12 + 14 = 2(2 + 3 + 4 + 5 + 6 + 7 +)
= 2(1 + 2 + 3 + 4 + 5 + 6 + 7 – 1)
=2 (å7 – 1)
= 2 (7(7 +1)/2 – 1) = 2 (7 (8)/2) – 1)
= 2 (28 – 1 ) = 2 (27) =54
7 Sum will be = 8(8 + 1) =723
8 Sum will be = (15 + 1)2/2 = 256/2 =108
9 75 ´ 35 = 7 ´ 3 + 5, 5 ´ 5 = 2625
10 75 ´ 75 = 7 (7+1) (5´5) = 5625
12 (10/100) ´9 = x(15) = 15x = 9, x = 9/5 = 3/5
13 (x/100) (120) + 315 = 300
(12/10) x + 315 = 300
12x/10 = – 15
12x = –150
x = –150/12
14 (52 – 50) (52 + 50)/(52 – 50) (52 + 50) = 1
16 Here we use
x3 + y3/ x2 – xy + y2 = x + y
15 + 12 = 27
18 (100 – 1) 11 = 1100 – 11 = 1089
19 29/6 + 7/3 + 31/6 = x
(29 + 21 + 31)/6 = x
51/6 = x, x = 13.5
20 Ö16/2 + Ö81/3 + Ö25/5 = x
4/2 + 9/3 + 5/5 = x
2 + 3 + 1 = x, x= 6
21 Ö196 + Ö256 = 14 + 16 = 30
22 13/15 = 16/x = x = (16 ´ 15)/13 = 18.46
23 (15´ 13) + 16 – 11 = x
195 + 16 – 11 = x
211 – 11 = x, x =200
24 15 + 5 – 11 ´ 13 = x
15 ´ 5 – 143 = x
20 – 143 = x, x = – 123
25 105 + 65 – 112 = 58