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Quantitative Aptitude0%

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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

If a man estimates his loss as 25% of the selling price, then his loss % is

Correct

Explanation:
Loss = CP – SP= (25/100) * SP
So CP= (125/100)*SP
So loss% = loss/CP * 100
So loss% = [(25/100) * SP]/[(125/100)*SP] * 100 = 20%

Incorrect

Explanation:
Loss = CP – SP= (25/100) * SP
So CP= (125/100)*SP
So loss% = loss/CP * 100
So loss% = [(25/100) * SP]/[(125/100)*SP] * 100 = 20%

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

There is 40% increase to an amount in 4 years at simple interest. Find the compound interest earned at Rs 8000 after 3 years at same rate of interest.

Correct

Explanation:
SI = A-P = 40/100 * P
So 40/100 * P = P *4*r/100
So r = 10%
A at CI = 8000 [1 + 10/100]^{3} =10648
So CI = 10648 – 8000 =2648

Incorrect

Explanation:
SI = A-P = 40/100 * P
So 40/100 * P = P *4*r/100
So r = 10%
A at CI = 8000 [1 + 10/100]^{3} =10648
So CI = 10648 – 8000 =2648

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

10 chairs are made by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then 16 such chairs will be made by 6 men, 4 women and 7 children in

Correct

Explanation:
Ratio of work= 1/5 : 1/4 : 1/2 = 4 : 5 : 10
So 4 men = 5 women = 10 children
4 men = 10 children so 2 men = 5 children and 6 men = 15 children
5 women = 6 children so 3 women =10 children
So 2 men + 3 women + 4children = 15 children
And 6 men + 4 women + 7 children = 30 children
Now 15 children can make 10 chairs in 10 days, so 30 children can make 16 chairs in x days. Solve x =8 days

Incorrect

Explanation:
Ratio of work= 1/5 : 1/4 : 1/2 = 4 : 5 : 10
So 4 men = 5 women = 10 children
4 men = 10 children so 2 men = 5 children and 6 men = 15 children
5 women = 6 children so 3 women =10 children
So 2 men + 3 women + 4children = 15 children
And 6 men + 4 women + 7 children = 30 children
Now 15 children can make 10 chairs in 10 days, so 30 children can make 16 chairs in x days. Solve x =8 days

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

A man takes 5 hours 30 minutes in walking a distance and riding back to starting place. He could walk both ways in 7 hours 15 minutes. The time taken by him to ride back both ways is

Correct

Explanation:
We have a shortcut for this:
Ride both ways is = 5 hours 30 minutes – (7 hours 15 minutes – 5 hours 30 minutes)
= 5 hours 30 minutes – 1hr 45 minutes

Incorrect

Explanation:
We have a shortcut for this:
Ride both ways is = 5 hours 30 minutes – (7 hours 15 minutes – 5 hours 30 minutes)
= 5 hours 30 minutes – 1hr 45 minutes

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

The straight line 2x + 3y = 12 passes through

Correct

Explanation:
Put y = 0 in equation, we get x = 3
Put x = 0 in equation, we get y = 4

See the figure, which quadrants the line is passing through.

Incorrect

Explanation:
Put y = 0 in equation, we get x = 3
Put x = 0 in equation, we get y = 4

See the figure, which quadrants the line is passing through.

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

If tan (2α + 45) = cot 3α where (2α + 45) and 3α are acute angles, then the value of α is

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is

Correct

Explanation:

AB = AC = 2x
AQ = QC = x
AB is a secant
So AP * AB = AQ^2
AP * 2x = x^2
AP = x/2
So AP/AB = x/2*2x = 1/4

Incorrect

Explanation:

AB = AC = 2x
AQ = QC = x
AB is a secant
So AP * AB = AQ^2
AP * 2x = x^2
AP = x/2
So AP/AB = x/2*2x = 1/4

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

In the following figure, AB be diameter of a circle whose centre is at O. Find the measure of angle CBE in degrees.

Correct

Explanation:
Angle EOB = 18 – 150 = 30
OE and OB are radius, so ar equal which means that angle OEB =angle OBE
So in triangle EOB
30 + angle OEB + angle OBE = 180
angle OEB =angle OBE
solve, so angle OEB =angle OBE = 75
angle OBE = 75, so angle EBC=180 – 75

Incorrect

Explanation:
Angle EOB = 18 – 150 = 30
OE and OB are radius, so ar equal which means that angle OEB =angle OBE
So in triangle EOB
30 + angle OEB + angle OBE = 180
angle OEB =angle OBE
solve, so angle OEB =angle OBE = 75
angle OBE = 75, so angle EBC=180 – 75

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

If x = [a + (a^{2} + b^{3})^{1/2}]^{1/3} + [a – (a^{2} + b^{3})^{1/2}]^{1/3}, then the value of x^{3} + 3bx =

A and B invested in a business as Rs 2000 and Rs 3000 respectively. After 6 months, both added Rs 1000 each to their investments. What is the difference in the shares of both, if after a year a total of Rs 13,200 is obtained as profit?