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In a school, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 40% boys were absent, then find the number of boys those who present?

Correct

Answer – 3. 63
Explanation:
Ratio of girls and boys = 100% : 75% = 4:3
x = 35
3x = 35 x 3 = 105
Boys present on particular day = 60% of 105 = 60×105 / 100 = 63

Incorrect

Answer – 3. 63
Explanation:
Ratio of girls and boys = 100% : 75% = 4:3
x = 35
3x = 35 x 3 = 105
Boys present on particular day = 60% of 105 = 60×105 / 100 = 63

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

Arun and Bala invests Rs.16000 and Rs.18000 in a business. After 4 months, Arun withdraws half of his capital and 2 months later, Bala withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?

A fruit vendor sells 3/5th part of fruits at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 2000, then what is the cost price of fruits?

Correct

Answer – 3. Rs. 50,000
Explanation:
cost price – x
(3/5*X*10/100) − (2/5*X*5/100) = 2000
=> X = Rs. 50000.

Incorrect

Answer – 3. Rs. 50,000
Explanation:
cost price – x
(3/5*X*10/100) − (2/5*X*5/100) = 2000
=> X = Rs. 50000.

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A watercraft travels 20 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the watercraft in still water?

Correct

Answer – 2. 3 hours
Explanation:
Upstream speed = B-S
Downstream speed = B+S
B-S = 15/5 = 3 kmph
B= 4S
B-S = 3= 3S
S = 1 and B= 4 kmph
B+S = 5 kmph
Time taken during downstream = 15/5 = 3 hours

Incorrect

Answer – 2. 3 hours
Explanation:
Upstream speed = B-S
Downstream speed = B+S
B-S = 15/5 = 3 kmph
B= 4S
B-S = 3= 3S
S = 1 and B= 4 kmph
B+S = 5 kmph
Time taken during downstream = 15/5 = 3 hours

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?

Correct

Answer – 4.6 days
Explanation:
4/10 + 9/x = 1 => x = 15
Then both can do in
1/10 + 1/15 = 1/6 => 6 days

Incorrect

Answer – 4.6 days
Explanation:
4/10 + 9/x = 1 => x = 15
Then both can do in
1/10 + 1/15 = 1/6 => 6 days

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

A cistern is filled in eight hours by three pipes P, Q and R. Pipe P is twice as fast as pipe Q, and Q is twice as fast as R. How much time will pipe Q alone take to fill the cistern?

The area of a square is equal to the area of a rectangle. The length of the rectangle is 6 cm more than a side of the square and its breadth is 4 cm less than the side of the square. What is the perimeter of the rectangle ?

Correct

Answer – 4. 52 cm
Explanation:
Let the side of the square be ‘x’ cm
length of rectangle = (x+6) cm
breadth of rectangle = (x-4)cm
(x+6)(x-4) = x²
x² + 6x – 4x – 24 = x²
2x = 24
Perimeter of rectangle = 2(L+B) = 2(x+6 + x–4) = 2(2x + 2)
= 2(24 + 2) = 52 cm

Incorrect

Answer – 4. 52 cm
Explanation:
Let the side of the square be ‘x’ cm
length of rectangle = (x+6) cm
breadth of rectangle = (x-4)cm
(x+6)(x-4) = x²
x² + 6x – 4x – 24 = x²
2x = 24
Perimeter of rectangle = 2(L+B) = 2(x+6 + x–4) = 2(2x + 2)
= 2(24 + 2) = 52 cm