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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Rahul, Ravi and Rohit started a business with their investments in the ratio 1:3:8. After 6 months, Rahul invested the half amount more as before and Ravi invested twice the more as before, while Rohit withdraws 1/4th of their investments. Find the ratio of their profits at the end of the year is?

Correct

Explanation:
Investment of Rahul for 1 year = x*6 + (x + x/2)6 = 15x
Investment of Ravi for 1 year = 3x*6 + (3x + 6x)6 = 72x
Investment of Rohit for 1 year = 8x*6 + (8x – 8x/4)6 = 84x
Ratio = 15x : 72x : 84x = 5:24:28

Incorrect

Explanation:
Investment of Rahul for 1 year = x*6 + (x + x/2)6 = 15x
Investment of Ravi for 1 year = 3x*6 + (3x + 6x)6 = 72x
Investment of Rohit for 1 year = 8x*6 + (8x – 8x/4)6 = 84x
Ratio = 15x : 72x : 84x = 5:24:28

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

Ravi bought two Pen Drives which together cost him Rs.660. He sold one of the Pen Drives at a loss of 20% and the other one at a gain of 40%. The selling price of both Pen Drives are same. Then find out the cost price of both Pen Drives.

Correct

Explanation :
80/100 * x = 140/100 * y
x = 7/4y
x + y = 660
7/4 y + y = 660
y = 240 ; x = 420

Incorrect

Explanation :
80/100 * x = 140/100 * y
x = 7/4y
x + y = 660
7/4 y + y = 660
y = 240 ; x = 420

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

A Car covers a distance of 384 km at a certain speed in 8 hours. How much time would a bus take at an average speed which is 12 kmph more than that of the speed of the car to cover a distance which is 36 km more than that travelled by Car?

Correct

Explanation :
Speed of the Car = Distance/time = 384/8 = 48 kmph
Now, speed of Bus = (speed of van + 11) kmph = (48 + 12) = 60 kmph
Distance travelled by Bus = 384 + 36 = 420 km
Time taken by Bus = Distance/Speed = 420/60 = 7 hours.

Incorrect

Explanation :
Speed of the Car = Distance/time = 384/8 = 48 kmph
Now, speed of Bus = (speed of van + 11) kmph = (48 + 12) = 60 kmph
Distance travelled by Bus = 384 + 36 = 420 km
Time taken by Bus = Distance/Speed = 420/60 = 7 hours.

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Veena borrows Rs.5000 at simple Interest from a lender. At the end of 3 years, she again borrows Rs.2000 and settled that amount after paying Rs.5000 as interest after 8 years from the time she made the first borrowing. what is the rate of interest?

Correct

Explanation:
SI for Rs.5000 for 8 years= (5000*r*8)/100
Again borrowed=2000
SI = (2000*r*5)/100
Total interest= [(5000*r*8)/100] + [(2000*r*5)/100] = 5000
400r + 100r = 5000
r = 10%

Incorrect

Explanation:
SI for Rs.5000 for 8 years= (5000*r*8)/100
Again borrowed=2000
SI = (2000*r*5)/100
Total interest= [(5000*r*8)/100] + [(2000*r*5)/100] = 5000
400r + 100r = 5000
r = 10%

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

Three persons Ajay, Bala and Chitra started a business together. They invest Rs.40000, Rs.24000 and Rs.30000 respectively in the beginning. After 4 months. Bala took out Rs. 4000 and Chitra took out Rs. 10000. They get a profit of Rs. 25400 at the end of the year. Bala’s share in the profit is?

Directions (6 -10): Each Question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not. You should use the data and your knowledge of Mathematics to choose between the possible answers.

What is the percent profit/loss made incurred by selling an article?
I. The ratio of the selling price to the cost price of the article is 5:3. The selling Price of an article is Rs. 60,000.
II. The difference between the cost price and the selling price is Rs.9600.

Correct

Explanation :
From Statement I,
60,000 * 3/8 = 22500
% Profit = 22500/37500 * 100

Incorrect

Explanation :
From Statement I,
60,000 * 3/8 = 22500
% Profit = 22500/37500 * 100

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

What is the perimeter of a semi-circle?
I. The area of the square is 196 sq cm.
II. The radius of a semicircle is equal to half the side of a square.

Correct

Explanation :
From Statement I,
Area of the square = 784 sq cm
Side = a = 28 cm
From Statement II,
Radius of semicircle = 28/2 = 14cm
Perimeter of Semicircle = 22/7 * 14 + 2 * 14 = 72cm

Incorrect

Explanation :
From Statement I,
Area of the square = 784 sq cm
Side = a = 28 cm
From Statement II,
Radius of semicircle = 28/2 = 14cm
Perimeter of Semicircle = 22/7 * 14 + 2 * 14 = 72cm

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

What is the exact average of X, 36, 38, 42, Y and Z?
I. X is Eight more than Z.
II. Y is Six more than Z.

Correct

Explanation :
Both Statement I and II are not sufficient to answer the question.

Incorrect

Explanation :
Both Statement I and II are not sufficient to answer the question.

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

What is the percentage of the rate of interest per annum?
I. Amount invested on simple interest becomes five times in 25 years.
II. The difference between compound interest and simple interest for 2 year on an amount of Rs.10,000 at that rate is Rs. 256

Correct

Explanation :
From Statement I,
A = 5P
SI = 5P – P = 4P
T = 25
R = 4P * 100 / P * 25 = 16%
From Statement II,
Difference = PR² / (100)²
R² = 256 *100 * 100 / 10000
R² = 256
R = 16%

Incorrect

Explanation :
From Statement I,
A = 5P
SI = 5P – P = 4P
T = 25
R = 4P * 100 / P * 25 = 16%
From Statement II,
Difference = PR² / (100)²
R² = 256 *100 * 100 / 10000
R² = 256
R = 16%

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

What is the total strength of Institute A?
I. In A, 35% are females and rest are males. The number of males in Institute B is equal to the number of females in Institute A.
II. In Institute B, the number of males is 530, which is 38% of total strength.

Correct

Explanation :
From Statement II,
The number of males is 530
From Statement I,
Number of males = Number of females
x = 530 * 100 / 35 = 1800

Incorrect

Explanation :
From Statement II,
The number of males is 530
From Statement I,
Number of males = Number of females
x = 530 * 100 / 35 = 1800