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1. How long does a train 90 meters long running at the speed of 71 km/hr. take to cross a bridge 132 meters in length?

A. 9.8 sec

B. 11.26 sec

C. 12.42 sec

D. 14.3 sec

Explanation:

Speed = (71 x 5/18) m/sec = 19.72 m/sec Total distance covered = (90 + 132) m = 222 m. Required time = (222/19.72) sec = 11.26 sec

2. Six years ago, the ratio of the ages of Kunal and Sagar was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Sagar age at present

A. 10 years B. 12 years C. 14 years D. 16 years

Explanation:

Let six years ago the age of Kunal and Sagar are 6x and 5x respectively. Then, => [(6x + 6) + 4]/ [(5x + 6) + 4] = 1110 => 10(6x+10) = 11(5x+10). => 5x = 10 => x = 2. So, Sagar age is (5x+6) = 16.

3. A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs. 8500. What is the share of B?

A. Rs. 1245.50 B. Rs. 1623.53 C. Rs. 1545.45 D. Rs. 1145.15

Explanation:

Let C's capital = Rs. y. Then, B's capital = Rs. (2/3) y A's capital = Rs. (3 × (2/3) y) = Rs. 2y Therefore, ratio of their capitals = 2y: (2/3) y: y = 6: 2: 3

Hence, B's share = Rs. (8500 x 2/11) = Rs. 1545.45.

4. In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes.

A. 16800 B. 15800 C. 16700 D. 15700

Explanation:

Let the total number of votes enrolled are x. Number of votes cast = 75% of x Valid votes = 98% of 75% of x Now, as 9261 is the 75% of valid casted votes so, 75% of 98% of 75% of x = 9261. => (75*98*75*x)/ (100*100×100) = 9261 => x = 16800.

5. After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On children’s education Rs. 2000 on petrol and Rs. 2500 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs.?

A. 2160 B. 2350 C. 2000 D. 2300

Explanation:

Total Exp = 5000+1500+4500+2500+2000+2500 = 18000 Exp in % = 100-10 = 90%, 18000 = 90% Saving = 10 % = 18000 X 10/90 = Rs. 2000.

6. A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?

A. 30 B. 40 C. 50 D. 60

Explanation:

Let the number of horses =x Then the number of pigeons =80-x. Each pigeon has 2 legs and each horse has 4 legs. Therefore, total number of legs =4x+2(80-x) =260. =>4x+160-2x=260. =>2x=100. =>x=50.

7. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

A. 400 B. 500 C. 600 D. 800

Explanation:

Let the sum be Rs. P. Then, P (1 + 10/100) *(1 + 10/100) - P = 525 P [ (11/10) *(11/10) - 1] = 525 P = (525 x 100)/21 = 2500. Sum = Rs . 2500. So, S.I. = Rs. (2500 x 5 x 4)/100 = Rs. 500.

8. Two dice are thrown together. What is the probability that the sum of the number on the two faces is divided by 4 or 6?

A. 7/18 B. 14/35 C. 8/18 D. 7/35

Explanation:

Clearly, n(S) = 6 x 6 = 36 Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6. Then, E = {(1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3), (6,2), (6,6)} n(E) = 14. Hence, P(E) = n(E)/n(S) = 14/36 = 7/18.

9. Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was:

A. Rs. 292.50 B. Rs. 297.50 C. Rs. 298 D. Rs. 298.50

Explanation:

Let the average expenditure be Rs. x. Then, 9x = [8x30 + (x+20)] => 9x = x + 260 => x = 32.50. Total money spent = 9x = Rs. (9 x 32.5O) = Rs 292. 50

10. A seller gains the cost of 40 dozen apples by selling 25 dozen of apples. Then the gain percent is:

A. 60% B. 40% C. 48% D. 56%

Explanation:

Given that the cost price(CP) of 40 dozen of apples is equal to selling of 25 dozen of apples. Let the CP of 1 dozen of apple = Rs.1 Therefore CP of 40 dozen apples = Rs.40 Given, SP of 25 dozen apples = Rs.40 Then SP of 1 dozen apples = Rs.40/25 = Rs.8/5 Therefore profit of 1 dozen apples = Rs. (8/5 - 1) (SP - CP) = Rs.3/5 Then profit % = 3/5 x 100 = 60%.

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