Quanta 12

Quanta

Q-1 3x + 1 = 27x + 4
(a) 11/5
(b) 11/4
(c) 11/2
(d) 11/9
Q-2 Which value should be subtracted from the terms of the ratio 5:6 in order to get 2:3
(a) 4
(b) 3
(c) 9
(d) 11
Q-3 What is mean proportional of 3 & 27 ?
(a) 11
(b) 9
(c) 3
(d) 4
Q-4 Distribute 472 between M & N in the ratio of 1:3
(a) 118, 316
(b) 118, 354
(c) 118, 319
(d) 118, 331
Q-5 What is the third proportional of 3 & 5 ?
(a) 15/3
(b) 26/3
(c) 16/9
(d) 11/4
Q-6 Find the L.C.M. ½, 3/8, 4/6
(a) 9
(b) 6
(c) 7
(d) 8
Q-7 What will be the HCF of 9/2, 3/8, 6/12 ?
(a) 1/6
(b) 1/7
(c) 1/8
(d) 1/9
Q-8 321 × 34 = ?
(a) 10914
(b) 10915
(c) 11915
(d) 12914
Q-9 – 0.85/1.7 = ?
(a) – 0.5
(b) – 0.501
(c) 5.0
(d) 5.6
Q-10 1 + 2 + 3 + --------- + 12 = ?
(a) 68
(b) 62
(c) 78
(d) 71
Q-11 2m is
(a) Even number
(b) Odd No.
(c) Prime No.
(d) None
Q-12 What should be add in 2m so that it becomes odd ?
(a) 1
(b) 3
(c) 4
(d) 5
Q-13 5173× (999) =?
(a) 516782
(b) 5167827
(c) a & b
(d) None
Q-14 11:x = x:12, Find x
(a) 12
(b) 11
(c) 19
(d) 20
Q-15 If A:B = 5:2, B:C = 1:4
Then find A:B:C
(a) 5:3:8
(b) 5:2:8
(c) 5:4:8
(d) None
Q-16 When 270 liter of water fill half tank then 360 liter will be what part of tank ?
(a) 3/6
(b) 3/2
(c) 3/11
(d) None
Q-17 When 2x432 is divided by 3 then, what will come in place of x ?
(a) 4
(b) 3
(c) 14
(d) None
Q-18 451.64 + 354.6 + 421 + 6.5 =?
(a) 1235.74
(b) 1233.74
(c) 1237.74
(d) None
Q-19 45.98 – 36.003 =?
(a) 10.977
(b) 9.977
(c) 11.8
(d) None
Q-20 0.011 × 0.0121 = x
Find x
(a) 0.0001343
(b) 0.0001454
(c) 0.001451
(d) None
Q-21 0.09 × 111.4 × 0.008 =?
(a) 0.8209
(b) 0.080208
(c) 0.080209
(d) None
Q-22 4000 + 1531.4 + x = 60031
Find x
(a) 54499.6
(b) 554.66
(c) 54495.9
(d) None
Q-23 Difference between the square of two even integer is always divided by which number
(a) 4
(b) 5
(c) 9
(d) 8
Q-24 ( squarroot of 2 + squarroot of 3)/( squarroot of 2 – squarroot of 3) = x
Find x
(a) 5 – 2 squarroot of 6
(b) 5 +2 squarroot of 6
(c) 5 – 3 squarroot of 2
(d) None
Q-25 Which is the smallest No. to be subtracted from 141 so that it is divisible by 7?
(a) 2
(b) 1
(c) 3
(d) 4

Answers:

1. c 11/2
2. b 3
3. b 9
4. b 118,354
5. b 25/3
6. b 6
7. c 1/7
8. a 10914
9. a –0.5
10. c 78
11. a Even number
12. a 1
13. b 5167827
14. b 11
15. b 5:2:8
16. b 3/2
17. a 4
18. b 1233.74
19. b 9.977
20. a 0.0001343
21. b 0.080208
22. a 54499.6
23. a 4
24. b 5 + 2 squarroot of 6
25. b 1

Reasons:

1. 3x + 1 = (33)x+4
3x+1 = 33x+12
x+1 = 3x+12
3x – x = 12 – 1
2x = 11x, x = 11/2
2. Suppose we subtract A from the terms
Then ratio
(5 – A) : (6 – A)
(5 – A) : (6 – A) = 2:3
5 – A/6 – A = 2/3
3(5 – A) = 2(6 – A)
15 – 3A = 12 – 2A
15 – 12 = 3A – 2A
3 = A
3. Mean Proportional = squarroot of (3 × 27) = squarroot of 81 = 9
4. T O M = (472 × ¼) = 118
T O N = (472 × ¾) = 354
5. 3:5 = 5:A
3/5 = 5/A, A = 25/3
6. L.C.M. = L.C.M. of 1,3,4/H.C.F. of 2,8,6 = 12/2= 6
7. H.C.F. = HCF of 9,3,6/LCM of 2,8,12 = 3/24 = 1/8
10 1 + 2 + 3 + ------ + 12 =Σ(n + 1)/2
12(12 + 1)/2 = 78
14. 11/x = x/12
121 = x2, x= 11
15. A:B = 5:2, B:C = 2:8
A:B:C = 5:2:8
17 2x432 = 2 + x + 4 + 3 + 2 = 11 + x
we can take 4 11 + 4 = 15
divisible by 3
22 x = 60031 – 4000 – 1531-4 = 54495.9
23 Let two even no. = 2,4
42 – 22 = 16 – 4 = 12
24 (squarroot of 2 + squarroot of 3)/( squarroot of 2 – squarroot of 3)× (squarroot of squarroot of 2 + squarroot of 3 / squarroot of 2 + squarroot of 3)
(squarroot of 2 + squarroot of 3)2 / 4 – 3 = 2 + 3+ 2 squarroot of 6 / 1
= 5 + 2 squarroot of 6