NUMERICAL ABILITY
Q.1 If Ratio of Ages of A and B are in the ratio of 5 :9 respectively and age of A and C are in the ratio 1: 3 yr. 5 years from now, Sum of their ages are 102 year. Then find the present age of A.
(1) 18 yr
(2) 12 yr
(3) 15 yr
(4) 17 yr
(5) None of these
Q.2 Ratio of upstream and downstream is 3 : 5. If a boat travels in upstream 22.5 km in 2:30 hrs, find the speed of boat in still water.
(1) 12 kmph
(2) 24 kmph
(3) 18 kmph
(4) 20 kmph
(5) none of these
Q.3. A lent `5000 to B for 2 years and `3000 to C for 4 years on simple interest at the same rate of interest and received `2200 in all from both of them as interest. The rate of interest per annum is:
(1) 5%
(2) 7%
(3) 7*1/8%
(4) 10%
(5) 5*3/7 %
Q.4 Sona travels 600 km to his house partly by train and partly by car. He takes 8 hours if he travels 120 km by train and the rest by car. He takes 20 minutes more if he travels 200 km by train and the rest by car. Find the speed of the train in km/h.
(1) 45
(2) 60
(3) 75
(4) 80
(5) None of these
Q.5 In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 23 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
(1) 72
(2) 80
(3) 120
(4) 150
(5) 100
Q.6 A bag contains 4 red, 5 green and 7 blue balls. Two balls are drawn at random. What is the probability that one is green and second of the balls drawn is blue?
(1)10/11
(2)11/21
(3)35/128
(4)5/76
(5)None of these
Q.7 A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
(1) 4 km/h
(2) 6 km/h
(3) 8 km/h
(4) 10 km/h
(5) None of these
Q.8 The sum of radius and height of a cylinder is 16. If the total surface area of the cylinder is 704 m2. Then find the volume of the cylinder.
(1) 1386 m2
(2)1224 m2
(3) 2466 m2
(4) 1804 m2
(5)1454 m2
Q.9 A certain number of men can finish a piece of work in 100 days. If however there were l0 men less, it would take another 10 days to finish the work. How many men were there originally?
(1) 50
(2) 75
(3) 82
(4) 110
(5) None of these
Q.10 The total salary of A, B and C is Rs. 906. If they spend 80%, 85%, 75% of their salaries respectively, their savings are as 7 :6 :19. Then salary of B is:
(1) Rs 140
(2) Rs 160
(3) Rs 144
(4) Rs 225
(5) Rs. 240
Directions (11-15):What approximate value should come in place of question mark (?) in the following questions?
Q.11 29.8% of 260 + 60.01% of 510 – 103.57 =?
1) 450
2) 320
3) 210
4) 280
5) 350
Q.12 (8531 + 6307 + 1093) ÷ (501 + 724 + 396) =?
(1) 12
(2)10
(3) 15
(4)20
(5) 6
Q.13 (682% of 782) ÷ 856 = ?
(1) 10.65
(2) 8.75
(3) 6.25
(4) 4.50
(5) 12.56
Q.14 39% of 6200 + 35% of 640 – 1560 = ?
(1) 982
(2) 1060
(3) 1172
(4) 1082
(5) None of these
Q.15 12 ÷ 2(6 – 7 + 4)×2
(1) 24
(2) 4
(3) 36
(4) 28
(5) None of the above
Directions(16-20): In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer, If: (1) x>y (2) x <y (3) x= y or the relationship cannot be established. (4) x≤ y (5) x ≥ y
Q.16. I. 5x2 +3x - 8 = 0 II. 6y2 - 14y + 8 = 0
Q.17. I. 2x2 + 40 = 18x II. 12 y2 = 22y -8
Q.18. I. 7x + 5y = 11 II. 7y – 8x = 51
Q 19. I. x2 = 25 II. 3y2 – 12y - 15 = 0
Q 20. I. 2x2 + 13x + 21 = 0 II. 2y2 + 27y + 88 = 0
Directions (21-25):What should come in place of the question mark (?) in the following number series?
Q.21 12 19 33 61 ? 229
(1) 46
(2) 819
(3) 247
(4) 588
(5) 891
Q.22. 63 31 15 7 3 ?
(1) 1
(2) 1.5
(3) 4
(4) 5
(5) None of these
Q.23. 12 13 28 87 352 ?10596
(1) 1845
(2) 1247
(3) 4578
(4) 1452
(5) 1765
Q.24. 165 195 255 285 345 ?
(1) 375
(2) 420
(3) 435
(4) 390
(5) None of these
Q.25.. 15120 ?360 72 18 6 3
(1) 2240
(2) 2540
(3) 2050
(4) 2160
(5) 2250
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