1. Find the sum of an infinite G whose first term is 28 and the second term is 4.?
(A) 32 / 5
(B) 98 / 3
(C) 3 / 98
(D) 98 / 7
(A) 32 / 5
(B) 98 / 3
(C) 3 / 98
(D) 98 / 7
2. Total cost of 8 buckets and 5 mugs is Rs. 92 and the total cost of 5 buckets and 8 mugs is Rs. 77. Find the total cost of 2 mugs and 3 buckets.?
(A) 35
(B) 70
(C) 30
(D) 38
(A) 35
(B) 70
(C) 30
(D) 38
3. In an auto fair at Pragti Maidan, New Delhi there are 600 vehicles consisting of only two wheelers and four wheelers. A world renowned tyre agency found 2000 tyre in vehicles during the survey of fair but without any Stepney. The number of two wheelers in the auto fair is-?
(A) 300
(B) 400
(C) 180
(D) 200
(A) 300
(B) 400
(C) 180
(D) 200
4. A number 476 * * 0 which is divisible by both 3 and 11. The digit in the hundred and tenth place respectively are (if digits are non-zero)
(A) 7, 4
(B) 7, 5
(C) 8, 5
(D) None of these
(A) 7, 4
(B) 7, 5
(C) 8, 5
(D) None of these
5. The population of vultures in a particular locality is decreased by a certain rate annually. If the current population of vulture be 29160 and the ratio of population for second year and third year be 10 : 9.? Then what was the population of vultures 3 year ago?
(A) 30000
(B) 35000
(C) 40000
(D) 50000
(A) 30000
(B) 35000
(C) 40000
(D) 50000
6. The diluted wine contains only 8 litres of wine and the rest is water. A new mixture is formed, whose concentrations is 30% by replacing mixture with pure wine. How many litres of mixture shall be replaced if there was initially 32 litres of water in the mixture?
(A) 4 litres
(B) 5 litres
(C) 8 litres
(D) None of these
(A) 4 litres
(B) 5 litres
(C) 8 litres
(D) None of these
7. A team is 20 men is supposed to do work in 30 days. After 12 day’s 5 more men were employed and the work finished 2 days earlier. In how many day’s would it have been finished if 5 more men were not employed?
(A) 30 days
(B) 28 days
(C) 32 days
(D) None
(A) 30 days
(B) 28 days
(C) 32 days
(D) None
8. A passenger sitting in a train of a certain length, which is running with a speed of 60 km/hr passing through two bridges. He notices that he crossed the first bridge and second bridge in time intervals which are in the ratio of 7:4 respectively. If the length of the first bridge be 280m, then the length of second bridge is-?
(A) 490m
(B) 220m
(C) 160 m
(D) Can’t be determined
(A) 490m
(B) 220m
(C) 160 m
(D) Can’t be determined
9. The amount of work in a factory is increased by 50%. By what percent is it necessary to increase the number of workers to complete the new amount of work in planned time, if the new labour is 25% more efficient.?
(A) 60%
(B) 66.66%
(C) 40%
(D) 33.33%
(A) 60%
(B) 66.66%
(C) 40%
(D) 33.33%
10. The difference between C.P. and S.P. of a table for is Rs. 175, then profit of 14% occurs what is the S.P. of table?
(A) 1225
(B) 1450
(C) 1425
(D) 1275
(A) 1225
(B) 1450
(C) 1425
(D) 1275
11. The area of the triangle formed by the line 3x +2y = 6 and the coordinate axis is?
(A) 3 sq. units
(B) 6 sq. units
(C) 4 sq. units
(D) 8 sq. units
(A) 3 sq. units
(B) 6 sq. units
(C) 4 sq. units
(D) 8 sq. units
12. A motor boat can travel at 10km/hr in still water. It travelled 91 km downstream in a river than returned to the same place, taking altogether 20 hours. Find the rate of flow of river.?
(A) 3 km/hr
(B) 4 km/hr
(C) 2 km/hr
(D) 5 km/hr
(A) 3 km/hr
(B) 4 km/hr
(C) 2 km/hr
(D) 5 km/hr
13. An aeroplane covers four sides of a square of field at speeds of 200, 400, 600 and 800 km/hr . Then the average speed of the plane in the entire journey is-?
(A) 600 km/hr
(B) 400 km/hr
(C) 500 km/hr
(D) 384 km/hr
(A) 600 km/hr
(B) 400 km/hr
(C) 500 km/hr
(D) 384 km/hr
14. A tank is connected with 8 pipes, some of pipes are inlet and rest work as outlet. Each of the inlet pipe can fill the tank in 8 hours, Individually, while each of outlet pipe can empty it in 6 hours individually. If all the pipes are kept opened when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?
(A) 2
(B) 4
(C) 5
(D) 6
(A) 2
(B) 4
(C) 5
(D) 6
15. In______ in centre lies inside the triangle ?
(A) An isosceles triangle only
(B) An equilateral triangle only
(C) Every triangle
(D) A right triangle only
(A) An isosceles triangle only
(B) An equilateral triangle only
(C) Every triangle
(D) A right triangle only
16. An article of C. P. Rs.8000 is marked at Rs. 11,200. After allowing a discount of x% a profit of 12% is made. The value of x is?
(A) 21%
(B) 20%
(C) 22%
(D) 23%
(A) 21%
(B) 20%
(C) 22%
(D) 23%
17. A number, when divided successively by 4,5 and 6 leaves remainder, 2,3 and 4 respectively. The least such number is
(A) 50
(B) 53
(C) 58
(D) 214
(A) 50
(B) 53
(C) 58
(D) 214
18. Three spherical balls of radius 1cm 2cm and 3cm are melted to form a single spherical ball. In the process the loss of material is 25%, then the radius of new ball is?
(A) 6cm
(B) 5cm
(C) 3cm.
(D) 2 cm
(A) 6cm
(B) 5cm
(C) 3cm.
(D) 2 cm
19. A batsman, in his 12th innings, makes a score of 63 run’s and there by increased his average score by 2 runs. The average of his score after 12th innings is-?
(A) 41
(B) 42
(C) 34
(D) 35
(A) 41
(B) 42
(C) 34
(D) 35
20. The ratio between the number of sides and interior angle of regular polygon is 1:2 and 3:4 respectively. The number of sides of these polygons respectively are?
(A) 3, 6
(B) 4, 8
(C) 6, 9
(D) 5, 10
(A) 3, 6
(B) 4, 8
(C) 6, 9
(D) 5, 10
21. A man on the top of a rock rising on a seashore observes a boat coming towards it, if it take 10 min for change the angle of depression from 30% to 60°, how soon the boat reach the shore?
(A) 5 min
(B) 6 min
(C) 10 min
(A) 5 min
(B) 6 min
(C) 10 min
(D) 15 min
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