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1. Total number of questions : 15.

2. Time alloted : 20 minutes.

3. Each question carry 1 mark, no negative marks.

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Result and Statistics ( Test No : online_test_number )

A. Number Of Question

B. Number Of Attempted

C. Number Of Correct Answer

D. Number Of Wrong Answer ( D = B-C )

E. Total Score ( E = C )

F. Accuracy Rate ( F = C / B * 100 )

G. Total Percentage ( G = C / A * 100 )

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A vessel has 500 ml of pure milk. From these vessels 50 ml of the milk is removed and 50 ml of water poured into the vessel. If this operation is repeated 2 more times, what is the percentage of milk in the vessel at the end?

A. 24.30% Wrong Right

B. 81% Wrong Right

C. 72.9% Wrong Right

D. 75% Wrong Right

Answer : 72.9%

Explanation : We know [(a – b) / a]n = c.
Where a = 500 ml, b = 50ml, n = 3
Proportion of the milk = [(500 – 50) / 500]3
= (450/500)3
= (9/10)3
= 0.729
Percentage of milk in the vessel = 100c = 72.9%

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A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

A. Rs. 456 Wrong Right

B. Rs. 458 Wrong Right

C. Rs. 558 Wrong Right

D. Rs. 568 Wrong Right

Answer : Rs. 558

Explanation :

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Anand can row 20 km in 2 hours in still water. If the speed of the stream is 6 kmph, he would take 3.75 hours to cover a round trip journey. Find the distance that he would then cover each way.

A. 11 Wrong Right

B. 12 Wrong Right

C. 15 Wrong Right

D. 16 Wrong Right

Answer : 12

Explanation : Speed of the boat in still water = 20/2 = 10 kmph
=> Let the total distance covered be 2x km
=> Given that, x/10+6 + x/10-6 = 3.75
x = 12

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8, 27, 64, 100, 125, 216, 343

A. 27 Wrong Right

B. 100 Wrong Right

C. 125 Wrong Right

D. 343 Wrong Right

Answer : 100

Explanation : The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube.

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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A. 564 Wrong Right

B. 645 Wrong Right

C. 735 Wrong Right

D. 756 Wrong Right

E. None of these Wrong Right

Answer : 756

Explanation :

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In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A. 1/3 Wrong Right

B. 3/4 Wrong Right

C. 7/19 Wrong Right

D. 8/21 Wrong Right

E. 9/21 Wrong Right

Answer : 1/3

Explanation :

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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A. 26 minutes and 18 seconds Wrong Right

B. 42 minutes and 36 seconds Wrong Right

C. 45 minutes Wrong Right

D. 46 minutes and 12 seconds Wrong Right

Answer : 46 minutes and 12 seconds

Explanation : L.C.M. of 252, 308 and 198 = 2772.
So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.

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In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

A. 60 m Wrong Right

B. 40 m Wrong Right

C. 20 m Wrong Right

D. 10 m Wrong Right

Answer : 20 m

Explanation : To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers (4/3) x 360 m = 480 m.

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.
A wins by 20 m.

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Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A. 2 : 3 : 4 Wrong Right

B. 6 : 7 : 8 Wrong Right

C. 6 : 8 : 9 Wrong Right

D. None of these Wrong Right

Answer : 2 : 3 : 4

Explanation :

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10.

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

A. Rs. 6400 Wrong Right

B. Rs. 6500 Wrong Right

C. Rs. 7200 Wrong Right

D. Rs. 7500 Wrong Right

Answer : Rs. 6400

Explanation :

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11.

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

A. 20 Wrong Right

B. 80 Wrong Right

C. 100 Wrong Right

D. 200 Wrong Right

Answer : 100

Explanation : Let the number of students in rooms A and B be x and y respectively.
Then, x - 10 = y + 10 x - y = 20 .... (i)
and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)
Solving (i) and (ii) we get: x = 100 , y = 80.
The required answer A = 100.

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12.

Find the market value of the stock if 6% yields 10%.

A. 60 Wrong Right

B. 70 Wrong Right

C. 80 Wrong Right

D. 100 Wrong Right

Answer : 60

Explanation : Let the investment be Rs.100 for an income of Rs.10
Therefore, for an income of Rs.6, the investment = 600/10 = Rs.60

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13.

A. 25 Wrong Right

B. 125 Wrong Right

C. 625 Wrong Right

D. 1625 Wrong Right

Answer : 25

Explanation :

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14.

Two trains 140 metres and 120 metres are running in the same direction with speeds 40 kmph and 60 kmph respectively. In what time will the faster train pass the slower one?

A. 0.60 minutes Wrong Right

B. 0.36 minutes Wrong Right

C. 0.78 minutes Wrong Right

D. 0.42 minutes Wrong Right

Answer : 0.78 minutes

Explanation : Total distance = addition of length of the two trains = 140 + 120 = 260 metres
As the two trains are travelling in the same direction, their relative speed is:
v = | v1 – v2 | = | 40 – 60 | = 20 km/hr = 20*1000/60 = 1000/3 metres/min
t = 260/ 1000*3
t = 0.78 minutes

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15.

If Rs 10 be allowed as true discount on a bill of Rs 110 due at the end of a certain time, then the discount allowed on the same sum due to the end of double the time is

A. Rs 20 Wrong Right

B. Rs 21.81 Wrong Right

C. Rs 22 Wrong Right

D. Rs 18.33 Wrong Right

Answer : Rs 18.33

Explanation : SI on Rs (110 – 10) for a certain time = Rs 10
SI on Rs 100 for double the time = Rs 20
TD on Rs 120 = Rs (120 – 100) = Rs 20
TD on Rs 110 = Rs (20/120 * 110) = Rs 18.33

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