Question
111
Mathematics
A car covers 2 equal distances at the speed of 25 km/hr and 30 km/hr respectively. What is the approximate average speed of this car for this whole journey?
(A)
27.27 km/hr
(B)
26.72 km/hr
(C)
28.86 km/hr
(D)
25.48 km/hr
Correct Answer:
A
Explanation:
For equal distances, average speed = 2uv/(u+v) = (2×25×30)/(25+30) = 27.27 km/hr.
For equal distances, average speed = 2uv/(u+v) = (2×25×30)/(25+30) = 27.27 km/hr.
Question
112
Mathematics
A principal of Rs. 11000 is invested in a scheme of Simple Interest at the annual rate of 20 percent for 5 years. How much Simple Interest will be obtained on this principal in these 5 years?
(A)
Rs. 11500
(B)
Rs. 8000
(C)
Rs. 11000
(D)
Rs. 10000
Correct Answer:
C
Explanation:
Simple Interest = (P×R×T)/100 = (11000×20×5)/100 = Rs. 11000.
Simple Interest = (P×R×T)/100 = (11000×20×5)/100 = Rs. 11000.
Question
113
Mathematics
A 1080-meter-long train crosses a man running at the speed of 20 m/s in (1/20) minutes. Train and man are running in opposite directions. What is the speed of the train?
(A)
340 m/s
(B)
320 m/s
(C)
280 m/s
(D)
270 m/s
Correct Answer:
A
Explanation:
Time = 1/20 minute = 3 seconds. Relative speed = 1080/3 = 360 m/s. Since they move in opposite directions, train speed + 20 = 360, so train speed = 340 m/s.
Time = 1/20 minute = 3 seconds. Relative speed = 1080/3 = 360 m/s. Since they move in opposite directions, train speed + 20 = 360, so train speed = 340 m/s.
Question
114
Mathematics
An inlet pipe can fill (5/12) part of a tank in 25 minutes. In how many minutes can it fill (3/4) part of the same tank?
(A)
45
(B)
60
(C)
80
(D)
55
Correct Answer:
A
Explanation:
If 5/12 of the tank is filled in 25 minutes, time required for 3/4 of the tank is 25 × (3/4) ÷ (5/12) = 45 minutes.
If 5/12 of the tank is filled in 25 minutes, time required for 3/4 of the tank is 25 × (3/4) ÷ (5/12) = 45 minutes.
Question
115
Mathematics
A person's salary is firstly increased by 20 percent and then again increased by 30 percent. What is the net percentage change in the person's salary?
(A)
50 percent
(B)
62 percent
(C)
56 percent
(D)
60 percent
Correct Answer:
C
Explanation:
Assume the original salary is Rs. 100. After a 20% increase it becomes Rs. 120, and after another 30% increase it becomes Rs. 156. Net increase is 56%.
Assume the original salary is Rs. 100. After a 20% increase it becomes Rs. 120, and after another 30% increase it becomes Rs. 156. Net increase is 56%.
Question
116
Mathematics
If A:B=5:6 and C:B=3:7, then what is the value of A:B:C?
(A)
35:42:18
(B)
42:35:18
(C)
5:6:14
(D)
14:6:5
Correct Answer:
A
Explanation:
Given A:B = 5:6 and C:B = 3:7. Taking the common value of B as 42, A:B = 35:42 and C:B = 18:42. Therefore A:B:C = 35:42:18.
Given A:B = 5:6 and C:B = 3:7. Taking the common value of B as 42, A:B = 35:42 and C:B = 18:42. Therefore A:B:C = 35:42:18.
Question
117
Mathematics
Cost price of an article is 25 percent more than its selling price. What is the loss percentage on this article?
(A)
25 percent
(B)
20 percent
(C)
30 percent
(D)
15 percent
Correct Answer:
B
Explanation:
Let the selling price be Rs. 100. Cost price = Rs. 125. Loss = Rs. 25. Loss percentage = (25/125) × 100 = 20%.
Let the selling price be Rs. 100. Cost price = Rs. 125. Loss = Rs. 25. Loss percentage = (25/125) × 100 = 20%.
Question
118
Mathematics
Scheme A: Principal of Rs. 20000 is invested on Simple Interest at the annual rate of 20 percent for 2 years. Scheme B: Principal of Rs. 20000 is invested on Compound Interest at the annual rate of 20 percent for 2 years. What will be the difference between the interest values of Scheme B and Scheme A?
(A)
Rs. 500
(B)
Rs. 200
(C)
Rs. 400
(D)
Rs. 800
Correct Answer:
D
Explanation:
Simple Interest = 20000 × 20 × 2 / 100 = Rs. 8000. Compound Interest = 20000[(1.20)^2 - 1] = Rs. 8800. Difference = Rs. 800.
Simple Interest = 20000 × 20 × 2 / 100 = Rs. 8000. Compound Interest = 20000[(1.20)^2 - 1] = Rs. 8800. Difference = Rs. 800.
Question
119
Mathematics
5 numbers X, Y, Z, A and B are in arithmetic progression. These numbers are in ascending order. Average of X and B is 42. What is the value of Z?
(A)
44
(B)
42
(C)
38
(D)
46
Correct Answer:
B
Explanation:
In a five-term arithmetic progression, the middle term Z is the average of the first and last terms X and B. Therefore Z = (X+B)/2 = 42.
In a five-term arithmetic progression, the middle term Z is the average of the first and last terms X and B. Therefore Z = (X+B)/2 = 42.
Question
120
Mathematics
Cost price of Tea A is Rs. 30 per Kilogram. Cost price of Tea B is Rs. 40 per Kilogram. Tea A and Tea B are mixed thoroughly. Cost price of this mixture is Rs. 36 per Kilogram. If this mixture contains total 50 Kilograms of Tea A and Tea B, then how much is Tea A in this mixture?
(A)
20 Kilogram
(B)
30 Kilogram
(C)
15 Kilogram
(D)
25 Kilogram
Correct Answer:
A
Explanation:
Let the quantity of Tea A be x kg. 30x + 40(50-x) = 36×50. Solving gives x = 20 kg.
Let the quantity of Tea A be x kg. 30x + 40(50-x) = 36×50. Solving gives x = 20 kg.
Total Questions:
120
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