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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

A cylinder has a volume equal to 12936 cm^{3} and total surface area equal to 3080 cm^{2}. If the ratio of its height and radius of its base is 3 : 2, find the measure of height and radius respectively.

Correct

Explanation:
Height = 3x, radius = 2x
Total surface area = 2ᴨr(r+h) = 3080
Volume = ᴨr^{2}*h = 12936
Divide both equations:
2(r+h)/rh = 3030/12936
Now put h = 3x, r = 2x and find x
Solve, x = 7
So , h = 21, r = 14

Incorrect

Explanation:
Height = 3x, radius = 2x
Total surface area = 2ᴨr(r+h) = 3080
Volume = ᴨr^{2}*h = 12936
Divide both equations:
2(r+h)/rh = 3030/12936
Now put h = 3x, r = 2x and find x
Solve, x = 7
So , h = 21, r = 14

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

A mixture P contains 20% water and rest milk. Another mixture Q contains 30% water and rest milk. From both P and Q, the quantity of mixture is taken and mixed in the ratio 1 : 2 respectively. Find the percentage of water in the final mixture.

Correct

Explanation:
Let x litres taken from mixture P, then 2x litres from mixture Q. So ratio of milk to water in new mixture =
80% of x + 70% of 2x : 20% of x + 30% of 2x
= (80/100) + (140/100) : (20/100) + (60/100)
= 11 : 4
So % of water = [4/(11+4)] * 100

Incorrect

Explanation:
Let x litres taken from mixture P, then 2x litres from mixture Q. So ratio of milk to water in new mixture =
80% of x + 70% of 2x : 20% of x + 30% of 2x
= (80/100) + (140/100) : (20/100) + (60/100)
= 11 : 4
So % of water = [4/(11+4)] * 100

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

A trader bought 600 kg of rice. If he sold some part at 17% profit and rest at 7% profit , he gained a total of 11%.How much quantity of rice did he sell at 7% profit?

Correct

Explanation:
Let he sold 1/x part at 7% profit, then (1 – 1/x) part at 17%
We have a shortcut here:
(1/x) * 7 + (1 – 1/x) * 17 = 11
solve, x = 5/3
this means 3/5 part at 7% profit, and then 2/5 part at 17% profit
so at 7% gain part is = (3/5)*600

Incorrect

Explanation:
Let he sold 1/x part at 7% profit, then (1 – 1/x) part at 17%
We have a shortcut here:
(1/x) * 7 + (1 – 1/x) * 17 = 11
solve, x = 5/3
this means 3/5 part at 7% profit, and then 2/5 part at 17% profit
so at 7% gain part is = (3/5)*600

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

6 men and 5 women can complete a work in 10 days and 10 men and 5 women can complete the same work in 7 days. What is the number of days in which 35 women will complete the same work?

Correct

Explanation:
6m + 5w = 10 days so 60m + 50w = 1 day
10m + 5w = 7 days so 70m + 35w = 1 day
So 60m + 50w = 70m + 35w . It gives 1m = (3/2) w
6m + 5w = 10, so 6*(3/2)w + 5w = 10, so 14 w do 1 work in 10 days, so 35 w will do in (14*10)/35

Incorrect

Explanation:
6m + 5w = 10 days so 60m + 50w = 1 day
10m + 5w = 7 days so 70m + 35w = 1 day
So 60m + 50w = 70m + 35w . It gives 1m = (3/2) w
6m + 5w = 10, so 6*(3/2)w + 5w = 10, so 14 w do 1 work in 10 days, so 35 w will do in (14*10)/35

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A bag contains 3 white, 4 black and 5 green balls. 2 balls are drawn at random. What is 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

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

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Ages of A and B is in the ratio 2 : 3 and that of A and C is in the ratio 4 : 9. If the difference in the ages of B and C is 15, then what is the age of B?

Correct

Explanation:
B/A = 3/2 and A/C = 4/9
So B : A : C = 3*4 : 2*4 : 2*9 = 6 : 4 : 9
So 9x – 6x = 15, this gives x = 5
Age of B = 6x = 30

Incorrect

Explanation:
B/A = 3/2 and A/C = 4/9
So B : A : C = 3*4 : 2*4 : 2*9 = 6 : 4 : 9
So 9x – 6x = 15, this gives x = 5
Age of B = 6x = 30

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

A cone whose radius of base is 20 m has curved surface area equal to 580ᴨ sq. m. What is its volume?

Correct

Explanation:
CSA = ᴨrl = ᴨ*20*l = 580ᴨ sq. m
So Slant height, l = 29
Now l^{2} = r^{2} + h^{2}
Solve, h = 21
So 1/3 ᴨr^{2}h = 8800

Incorrect

Explanation:
CSA = ᴨrl = ᴨ*20*l = 580ᴨ sq. m
So Slant height, l = 29
Now l^{2} = r^{2} + h^{2}
Solve, h = 21
So 1/3 ᴨr^{2}h = 8800

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Find the least number which when divided by 12, 15, 18 and 20 leaves remainders 9, 12, 15 and 17 respectively.

Correct

Explanation:
Since 12-9 = 3, 15-12 = 3, 18-15 = 3, 20-17 = 3
So answer will be the LCM of these numbers – 3
So 180 – 3

Incorrect

Explanation:
Since 12-9 = 3, 15-12 = 3, 18-15 = 3, 20-17 = 3
So answer will be the LCM of these numbers – 3
So 180 – 3

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

4, 3, 12, 6, 36, 9, 108, 12, ?

Correct

Explanation:
It is a double series.
First *3 in each successive. This gives 4, 12, 36, 108
Second +3 in each successive. This gives 3, 6, 9, 12

Incorrect

Explanation:
It is a double series.
First *3 in each successive. This gives 4, 12, 36, 108
Second +3 in each successive. This gives 3, 6, 9, 12

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Rs 1800 becomes Rs 2376 after 4 years. If the rate of interest is increased by 2%, what will be the amount then?

Correct

Explanation:
Increase in interest in 4 yrs with rate 2%= 1800*4*2/100 = 144
So amount = 2376+144

Incorrect

Explanation:
Increase in interest in 4 yrs with rate 2%= 1800*4*2/100 = 144
So amount = 2376+144