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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Directions (1–4): Study the pie chart and answer the questions that follow:
The pie chart shows the monthly expenses of a person done on various items.

If the monthly salary of the person is Rs 6,000, for how many items he has spent more than Rs 1,000 per month?

Correct

Explanation:
Shortcut-
(x/100)*6000 = 1000, gives x = 16.67%
So the ones having more expense % than 16.67% which is A and C

Incorrect

Explanation:
Shortcut-
(x/100)*6000 = 1000, gives x = 16.67%
So the ones having more expense % than 16.67% which is A and C

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

Directions (1–4): Study the pie chart and answer the questions that follow:
The pie chart shows the monthly expenses of a person done on various items.

What is the angle made at the centre of the pie chart by the sector representing the expenses on item F?

Correct

Explanation:
(15/100)*360 = 54

Incorrect

Explanation:
(15/100)*360 = 54

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

Directions (1–4): Study the pie chart and answer the questions that follow:
The pie chart shows the monthly expenses of a person done on various items.

Expenses on item D are approximately how much percent more than on item B, if the monthly salary of the person is Rs 12,000?

Correct

Explanation:
Required % = (15-7)/7 * 100

Incorrect

Explanation:
Required % = (15-7)/7 * 100

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Directions (1–4): Study the pie chart and answer the questions that follow:
The pie chart shows the monthly expenses of a person done on various items.

If the person spends Rs 500 per month on item E, what will be his monthly salary?

Correct

Explanation:
(10/100)*x = 500

Incorrect

Explanation:
(10/100)*x = 500

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A and B started from a same point in same direction with their speeds being in the ratio 3 : 4. What is the time taken by B to reach their destination if A took 30 minutes more than B to reach destination?

Correct

Explanation:
Let time taken by B is t hrs, then by A is (t + 30/60) hrs
Speeds ratio = 3 : 4
Distance is same. So
3 * (t + 1/2) = 4 * t
Solve, t = 1 1/2 hrs

Incorrect

Explanation:
Let time taken by B is t hrs, then by A is (t + 30/60) hrs
Speeds ratio = 3 : 4
Distance is same. So
3 * (t + 1/2) = 4 * t
Solve, t = 1 1/2 hrs

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

A certain amount invested at 5% rate of interest per annum for 4 years gave a simple interest of Rs 312. If the same amount would have been invested at 4% rate of interest per annum compounded annually, what would be the compound interest obtained after same time?

Correct

Explanation:
312 = P*5*4/100
So principal = Rs 1560
CI = 1560 [(1 +4/100)^2 – 1]
= 1560 [729/625 – 1]

Incorrect

Explanation:
312 = P*5*4/100
So principal = Rs 1560
CI = 1560 [(1 +4/100)^2 – 1]
= 1560 [729/625 – 1]

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

A bag contains 3 white, 4 black and 5 green marbles. If 2 marbles are drawn at random from the bag, find the probability that both balls are different in color?

Correct

Explanation:
Case 1: 1 white+1 black ^{3}C_{1}*^{4}C_{1}/^{12}C_{2}
Case 2: 1 white+1 green ^{3}C_{1}*^{5}C_{1}/^{12}C_{2}
Case 3: 1 green+1 black ^{5}C_{1}*^{4}C_{1}/^{12}C_{2}
Add all cases
Or
find prob of both same color and subtract from 1

Incorrect

Explanation:
Case 1: 1 white+1 black ^{3}C_{1}*^{4}C_{1}/^{12}C_{2}
Case 2: 1 white+1 green ^{3}C_{1}*^{5}C_{1}/^{12}C_{2}
Case 3: 1 green+1 black ^{5}C_{1}*^{4}C_{1}/^{12}C_{2}
Add all cases
Or
find prob of both same color and subtract from 1

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

A’s present age is 1/3 of B’s and B’s present age id 9/13 of C’s present age. The sum of their present ages is 125 years. What is the difference between the ages of A and C?

Correct

Explanation:
B = 9C/13 and A = 1/3(9C/13) = 3C/13
So 3C/13 + 9C/13 + C = 125
Solve, C = 65, so A = 3*65/13 = 15
So C – A = 65-15

Incorrect

Explanation:
B = 9C/13 and A = 1/3(9C/13) = 3C/13
So 3C/13 + 9C/13 + C = 125
Solve, C = 65, so A = 3*65/13 = 15
So C – A = 65-15

Question 9 of 10

9. 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 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

ABC is a triangle with base AB. D is a point on AB such that AB = 5 and DB = 3. What is the ratio of the area of triangle ADC to the area of triangle ABC?

Correct

Explanation:

AB = 5, DB = 3
So AD = 5-3 = 2
Both ADC and ABC have same height and area of triangle is (1/2)*base*height
So required ratio is (1/2)*AD*h : (1/2)*AB*h
= AD : AB = 2 : 5

Incorrect

Explanation:

AB = 5, DB = 3
So AD = 5-3 = 2
Both ADC and ABC have same height and area of triangle is (1/2)*base*height
So required ratio is (1/2)*AD*h : (1/2)*AB*h
= AD : AB = 2 : 5