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Saturday, February 13, 2016

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

Tuesday, February 9, 2016

Quantitative Aptitude Test

Quantitative Aptitude

Q-1 In 5/6: : 9/8, 5/6 is
(a) IInd ratio (b) Ist ratio (c) Third ratio (d) None

Q-2 In 5/6 : : 9/5, 9/5 is
(a) Ist ratio (b) Third ratio (c) IInd ratio (d) None

Q-3 In 4/5 : : 9/7, : : is the symbol for
(a) Ratio (b) Proportional (c) a & b (d) None

Q-4 60 ´70 ´ 130
(a) 42 (b) 91 (c) 1 (d) None

Q-5 315/(150)
(a) 315 (b) 316 (c) 0 (d) ¥

Q-6 73 + 37
(a) 1110 (b) 110 (c) 100 (d) None

Q-7 Find (112 – 102) / (11 + 10)
(a) 1 (b) 2 (c) 3 (d) 4

Q-8 Find 35 + 4(1/5) ¸ 4/5
(a) 161/5 (b) 161/4 (c) 161/8 (d) 161/9

Q-9 In (x + 6)14, How many terms are there
(a) 15 (b) 16 (c) 17 (d) 18

Q-10 In (x + y)21, how many middle terms are there
(a) 2 (b) 1 (c) 3 (d) 4

Q-11 underroot 0.0196
(a) 0.15 (b) 0.16 (c) 0.14 (d) 0.19

Q-12 underroot 0.0225
(a) 0.14 (b) 0.15 (c) 0.16 (d) 0.18

Q-13 Find 3 underroot 0.000081
(a) 0.009 (b) 0.09 (c) 0.0009 (d) 0.9

Q-14 (515 ´ 252) / (125)2
(a) 511 (b) 512 (c) 513 (d) 514

Q-15 3 underroot 1 Find n
(a) 1/3 (b) 1/ 2 (c) 1/ 4 (d) 1 / 5

Q-16 252 =?
(a) 625 (b) 636 (c) 666 (d)639

Q-17 (26)2 =?
(a) 625 (b) 635 (c) 665 (d) 676

Q-18 (192 – 182) + (18)2
(a) 365 (b) 361 (c) 396 (d) 371

Q-19 underroot 50 ´ underroot 3 ´ underroot 6
(a) 35 (b) 34 (c) 30 (d) 40

Q-20 LCM 5, 10, 15, 20
(a) 65 (b) 60 (c) 70 (d) 90

Q-21 HCF 22 ´ 42 ´ 52, 23 ´ 4 ´ 53, 2 ´ 31 ´ 45
(a) 8 (b) 10 (c) 6 (d) 4

Q-22 Which is smaller No. of four digit?
(a) 1000 (b) 9999 (c) 1550 (d) 2000

Q-23 Mean Proportion of 4 and 5
(a) 9 (b) underroot20 (c) underroot 21 (d) underroot 22

Q-24 What will be duplicate ratio of 7:8
(a) 49:64 (b) 7:64 (c) 49:8 (d) None

Q-25 Find triplicate ratio of 1:5
(a) 1:125 (b) 1:25 (c) 1:64 (d) 1:29

Answers:

1. b Ist ratio
2. c IInd ratio
3. b Proportional
4. c 1
5. a 315
6. b 110
7. a 1
8. b 161/4
9. a 15
10. a 2
11. c 0.14
12. b 0.15
13. b 0.09
14. c 513
15. b 1/2
16. a 625
17. d 676
18. b 361
19. c 30
20. b 60
21. a 8
22. a 1000
23. b underroot 20
24. a 49:64
25. a 1:125

Reasons:

4 60 ´70 ´ 130 = 1 ´ 1 ´ 1 = 1
6 73 + 37 = (7 +3) ´ 11 = 110
7 (112 – 102) / (11 + 10) = (11 – 10) (11 + 10)/(11 + 10) = 1
8 35 + 21/5/4/5 = 35 + 21/4 = 140 + 21/4 = 161/4
10 Since 21 + 1 = 22 is even
\ it have two middle term
14 (515 ´ 252) / (125)2 = 515´ (52)2/(53)2= 515 ´ 54 / 56
515 + 4 / 56 = 519/56 = 519 – 6 = 513
15 3 underroot 3 = 3n + 1 = (33)1/2 = 3n + 1
33/2 = 3n + 1
n + 1 = 3/2
n = 3/2 – 1 = ½
16 Since 625 is the only No. which unit digit = 5
18 192 – 182 + 182 = 192 = 361
19 underroot 50 ´ underroot 3 ´ underroot 6 = underroot (5 ´ 3 ´ 6) = underroot 900 = 30
21 HCF in 21 ´ 41 = 8
23 Mean proportion of 4 & 5 is underroot (4 ´ 5) = underroot 20
25 Triplicate ratio of 1 :5 is 13 : 53 = 1:125