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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

A and B can complete a work in 15 days and 25 days respectively. They undertook to do a job for Rs 9450. Now with the help of C they did in 7 1/7 days. What will C get as his share?

Correct

Explanation:
1/15 + 1/25 + 1/x = 7/50
So x = 30 days, C can do in 30 days
So money will be shared in ratio 1/15 : 1/25 : 1/30 = 10 : 6 : 5
So C will get = 5/21 * 9450

Incorrect

Explanation:
1/15 + 1/25 + 1/x = 7/50
So x = 30 days, C can do in 30 days
So money will be shared in ratio 1/15 : 1/25 : 1/30 = 10 : 6 : 5
So C will get = 5/21 * 9450

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

There are 1000 boys and 800 girls in a school. 75% of the boys and 92% of the girls passed in an examination. What is the approximate percentage of students who did not pass that exam?

Correct

Explanation:
Boys who dint pass = (25/100)*1000 = 250
Girls who dint pass = (8/100)*800 = 64
Total who dint pass = 250+64 = 314 out of total 1000+800 = 1800 students
So required % = (314/1800)*100

Incorrect

Explanation:
Boys who dint pass = (25/100)*1000 = 250
Girls who dint pass = (8/100)*800 = 64
Total who dint pass = 250+64 = 314 out of total 1000+800 = 1800 students
So required % = (314/1800)*100

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

A and B invested in a business as Rs 3000 and Rs 4500 respectively. After 4 months C joins with Rs 5100. If after a year, C gets Rs 3230 as his share of profit, what is the share of B?

How many 4 letter words starting with vowel can be formed by the letters of word DOWNSTREAM such that no letter repeats?

Correct

Explanation:
There are 3 vowels, so we gave 3 choices for the first letter
There are total 10 letters in DOWNSTREAM, and one of them has occupied first place, so 9 choices for second, 8 choices for third, and 7 choices for fourth
So 3*9*8*7

Incorrect

Explanation:
There are 3 vowels, so we gave 3 choices for the first letter
There are total 10 letters in DOWNSTREAM, and one of them has occupied first place, so 9 choices for second, 8 choices for third, and 7 choices for fourth
So 3*9*8*7

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A mixture contains A and B in the ratio 2 : 3. 10 litres of mixture is replaced by 8 litres of A and the new ratio becomes 10 : 11 respectively. What is the amount of A present in the original mixture?

Correct

Explanation:
A = 2x, B = 3x
After 10 litres draw out:
A = 2x – (2/5)*10 = 2x – 4 , B = 3x – (3/5)*10 = 3x – 6
After 8 l of A put back, A = (2x – 4) + 8 = 2x +4
So (2x+2)/(3x-6) = 10/11
Solve, x = 13
So A = 2x = 2*13

Incorrect

Explanation:
A = 2x, B = 3x
After 10 litres draw out:
A = 2x – (2/5)*10 = 2x – 4 , B = 3x – (3/5)*10 = 3x – 6
After 8 l of A put back, A = (2x – 4) + 8 = 2x +4
So (2x+2)/(3x-6) = 10/11
Solve, x = 13
So A = 2x = 2*13

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

The length and the breadth of a rectangular room are 315 cm and 225 cm. A carpet is to be placed on the floor of the room leaving 2.5 cm space from the walls. What is the cost of carpet at Rs 1200 per metre square?

Correct

Explanation:
leaving 2.5 cm space means 5 cm from length and breadth
Area of carpet = (315-5)*(225-5) = 68200 cm sq. = 6.82 m sq.
So cost = 6.82*1200

Incorrect

Explanation:
leaving 2.5 cm space means 5 cm from length and breadth
Area of carpet = (315-5)*(225-5) = 68200 cm sq. = 6.82 m sq.
So cost = 6.82*1200

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

A man standing on the top of the tower seas a boat coming towards him takes 10 minutes for the angle of depression to change from 30 degree to 60 degree. Find the time taken by the boat to reach the shore from this position.

Correct

Explanation:

AB/AD = tan 60 = √3
So AD = AB/√3
AB/(CD+AD) = tan 30 = 1/√3
So CD+AD = √3 AB
Solve both equations, CD = 2h/√3
Now 2h/√3 is covered in 10 minutes, so h/√3 in 5 minutes

Incorrect

Explanation:

AB/AD = tan 60 = √3
So AD = AB/√3
AB/(CD+AD) = tan 30 = 1/√3
So CD+AD = √3 AB
Solve both equations, CD = 2h/√3
Now 2h/√3 is covered in 10 minutes, so h/√3 in 5 minutes

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

The orthocenter of a right angled triangle lies

Correct

Explanation:
The orthocenter is the point where the three altitudes of a triangle intersect.

Incorrect

Explanation:
The orthocenter is the point where the three altitudes of a triangle intersect.

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

In a rhombus, if angle A = 60 degree and AB = 10 cm, then the diagonal BD is

Correct

Explanation:

Diagonals of rhombus intersect at right angle. Also the diagonals bisect the angle and themselves also. Angle A = angle C = 60 degree
So angle B = angle D = 120 degree
In rt angled ∆AOB
Angle AOB = 90
Angle OAB = 60/2 = 30 and angle ABO = 120/2 = 60
Sin 30 = perpendicular/hypotenuse = OB/AB = OB/10
So 1/2 = OB/10 , so OB = 5cm
So BD = 5*2 = 10 cm

Incorrect

Explanation:

Diagonals of rhombus intersect at right angle. Also the diagonals bisect the angle and themselves also. Angle A = angle C = 60 degree
So angle B = angle D = 120 degree
In rt angled ∆AOB
Angle AOB = 90
Angle OAB = 60/2 = 30 and angle ABO = 120/2 = 60
Sin 30 = perpendicular/hypotenuse = OB/AB = OB/10
So 1/2 = OB/10 , so OB = 5cm
So BD = 5*2 = 10 cm

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

If x^{2} + y^{2} + 1/x^{2} + 1/y^{2} = 4, then 2x^{2} + 3y^{2} equals