61. In a fort there is enough food sufficient for 1200 men for 10 days. How long the food would have last for if there would have been 1000 men.
A. 15
B. 12
C. 10
D. 20
✅ The correct answer is option B. 12.
Mathematics
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62. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :___________?
A. 7.42 a.m.
B. 7.48 a.m.
C. 8.10 a.m.
D. 8.30 a.m.
✅ The correct answer is option A. 7.42 a.m..
63. The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
A. 8
B. 6
C. 5
D. 2
✅ The correct answer is option C. 5.
A + B + C = 48
A + B + C = 48
64. A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:_________?
A. 12
B. 15
C. 18
D. 20
✅ The correct answer is option B. 15.
Dividend on Rs. 20 = Rs. (90/100)x 20 = Rs.9/5.
Dividend on Rs. 20 = Rs. (90/100)x 20 = Rs.9/5.
Rs. 12 is an income on Rs. 100.
65. In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?
A. 750
B. 500
C. 250
D. 125
✅ The correct answer is option B. 500.
66. A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
A. 22 km/hr
B. 33 km/hr
C. 66 km/hr
D. 44 km/hr
✅ The correct answer is option C. 66 km/hr.
The relative speed of A and B is 6 km/hr = 1.67 m/s
The relative speed of A and B is 6 km/hr = 1.67 m/s
As the car passes A after 10s, the distance between A and B after 10s (i.e. at 11th second) is the distance covered by car in 1 second.
Therefore, at t = 11, d = 1.67 * 11
d = 18.33 m
v = d/t = 18.33/1 = 18.33m/s
v = 66 km/hr
67. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
A. 8 : 9
B. 17 : 18
C. 21 : 22
D. Cannot be determined
✅ The correct answer is option C. 21 : 22.
Originally, let the number of boys and girls in the college be 7x and 8x respectively. Their increased number is (120% of 7x) and (110% of 8x), i . e . ( 120/100 X 7x ) and ( 110/100 X 8x ) i . e . 42x/5 and 44x/5 Required ratio = 42x/5 : 44x/5 = 21 : 22
Originally, let the number of boys and girls in the college be 7x and 8x respectively. Their increased number is (120% of 7x) and (110% of 8x), i . e . ( 120/100 X 7x ) and ( 110/100 X 8x ) i . e . 42x/5 and 44x/5 Required ratio = 42x/5 : 44x/5 = 21 : 22
68. A sum was put a simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. The sum is:________?
A. Rs.750
B. Rs.700
C. Rs.820
D. Rs.940
✅ The correct answer is option A. Rs.750.
69. The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
A. 9
B. 8
C. 7
D. 6
✅ The correct answer is option A. 9.
1 to 9 = 9 * 9 = 81
1 to 9 = 9 * 9 = 81
70. A camp has provision for 9 days for 500 men. At the end of 3 days 100 more men were admitted. How long will the food now last?
A. 12 days
B. 5 days
C. 9 days
D. 6 days
✅ The correct answer is option B. 5 days.