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The compound interest on a certain sum of money at a certain rate per annum for two years is Rs. 2,050, and the simple interest on the same amount of money at the same rate for 3 years is Rs. 3000. Then the sum of money is:

There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs. 74 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?

Correct

Answer :4. Rs.736 Explanation
54*(x−1) −46*x = 74
8x = 128
x = 16
Original total expenditure:
46*x = 46*16 = Rs.736

Incorrect

Answer :4. Rs.736 Explanation
54*(x−1) −46*x = 74
8x = 128
x = 16
Original total expenditure:
46*x = 46*16 = Rs.736

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

12 cylindrical pillars of a building have to be painted. The diameter of each pillar is 140 cm and the height is 2 m. What is the cost of painting at the rate of Rs. 7.75 per square meter?

A box contains 6 bottles of variety1 drink, 3 bottles of variety2 drink and 4 bottles of variety3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety?

Correct

Answer : 1. 261/286 Explanation
Total number of drink bottles = 6 + 3 + 4 = 13.
Let S be the sample space.
Then, n(S) = number of ways of taking 3 drink bottles out of 13.
Therefore, n(S) = 13C3=286
Let E be the event of taking 3 bottles of the same variety.
Then, E = event of taking (3 bottles out of 6) or (3 bottles out of 3) or (3 bottles out of 4)
n(E) = 6c3+ 3C3 +4C3=25
The probability of taking 3 bottles of the same variety = n(E)/n(S) = 25/286
Then, the probability of taking 3 bottles are not of the same variety = 1 – 25/286 = 261/286

Incorrect

Answer : 1. 261/286 Explanation
Total number of drink bottles = 6 + 3 + 4 = 13.
Let S be the sample space.
Then, n(S) = number of ways of taking 3 drink bottles out of 13.
Therefore, n(S) = 13C3=286
Let E be the event of taking 3 bottles of the same variety.
Then, E = event of taking (3 bottles out of 6) or (3 bottles out of 3) or (3 bottles out of 4)
n(E) = 6c3+ 3C3 +4C3=25
The probability of taking 3 bottles of the same variety = n(E)/n(S) = 25/286
Then, the probability of taking 3 bottles are not of the same variety = 1 – 25/286 = 261/286

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A train overtakes two bikes which are travelling at the speed of 25km/hr and 30km/hr in the same direction the train is moving and crosses them in 36 and 42 seconds respectively. Then the length of the train is:

Correct

Answer : 4. 350m Explanation
25km/hr = 25 x 5/18 = 125/18 m/sec
and 30km/hr = 30 x 5/18 = 150/18 m/sec.
Let the length of the train be X meters and its speed by Y m/sec
Then the relative speed of the train and the bike with speed 125/18 m/sec is (Y – 125/18)
And the relative speed of the train and the bike with speed 150/18 m/sec is (Y – 150/18).
Relative distance covered is equal which is equal to length of train=
(Y-125/18) *36= (Y-150/18) *42
Y=50/3
Distance of train (50/3-125/18) *36 = 350 m

Incorrect

Answer : 4. 350m Explanation
25km/hr = 25 x 5/18 = 125/18 m/sec
and 30km/hr = 30 x 5/18 = 150/18 m/sec.
Let the length of the train be X meters and its speed by Y m/sec
Then the relative speed of the train and the bike with speed 125/18 m/sec is (Y – 125/18)
And the relative speed of the train and the bike with speed 150/18 m/sec is (Y – 150/18).
Relative distance covered is equal which is equal to length of train=
(Y-125/18) *36= (Y-150/18) *42
Y=50/3
Distance of train (50/3-125/18) *36 = 350 m

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

The ratio of incomes of two persons is 5: 3 and that of their expenditures is 9:5. If they save 2600 rupees and 1800 rupees respectively. Their income are

Correct

Answer : 3.8000, 4800 Solution

Incorrect

Answer : 3.8000, 4800 Solution

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