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Question 1 of 15
1. Question
1 pointsCategory: Quantitative AptitudeRice is bought at the rate of Rs 8 per kg. Out of the total quantity of 110 kg, 60 kg of rice is sold at 10% profit. At what rate per kg the remaining need rice need to be sold so that there is a profit of 20% on the total price?
Correct
Explanation:
Let remaining (11060) = 50 kg at x%. So by allegation method,
(60 kg)…………………(50 kg)
10% …………………….x%
…………….20%
(x20)…………..………10
So (x20)/10 = 60 kg/50 kg
Solve, x = 32%
50 kg costs = 50*8 = Rs 400
So at 32% profit SP of 50 kg is (132/100) * 400 = Rs 528
So SP of 1 kg = 528/50 = 10.56Incorrect
Explanation:
Let remaining (11060) = 50 kg at x%. So by allegation method,
(60 kg)…………………(50 kg)
10% …………………….x%
…………….20%
(x20)…………..………10
So (x20)/10 = 60 kg/50 kg
Solve, x = 32%
50 kg costs = 50*8 = Rs 400
So at 32% profit SP of 50 kg is (132/100) * 400 = Rs 528
So SP of 1 kg = 528/50 = 10.56 
Question 2 of 15
2. Question
1 pointsCategory: Quantitative AptitudeIn an application form, a candidate mistakenly filled his age 20% more than his actual age. If his actual age is 25, by how much percent the candidate have to reduce his height in order to get the correct age?
Correct
Explanation:
He filled his age to be (120/100)*25 = 30
Let he must reduce by x%, then
[(100x)/100] * 30 = 25
Solve, x = 50/3%Incorrect
Explanation:
He filled his age to be (120/100)*25 = 30
Let he must reduce by x%, then
[(100x)/100] * 30 = 25
Solve, x = 50/3% 
Question 3 of 15
3. Question
1 pointsCategory: Quantitative AptitudeA, B and C invested Rs 2000, Rs 2500 and Rs 3000 respectively in a business. After 8 months, all withdrew Rs 500 from their investments for only 2 months and then reinvested. Out of a total profit of Rs 66,000 after a year, what is the share of B in the profit?
Correct
Explanation:
A invested 2000 for total 10 months (first 8 months and last 2 months) and 1500 for 2 months (9th and 10th month). Similarly with others. So A : B : C is
2000*10+1,500*2 : 2500*10 +2,000*2 : 3000*10 +2,500*2
23 : 29 : 35
So B gets = [29/(23+29+35)] * 66,000 = (29/87) * 66,000 = 66000/3 = 22000Incorrect
Explanation:
A invested 2000 for total 10 months (first 8 months and last 2 months) and 1500 for 2 months (9th and 10th month). Similarly with others. So A : B : C is
2000*10+1,500*2 : 2500*10 +2,000*2 : 3000*10 +2,500*2
23 : 29 : 35
So B gets = [29/(23+29+35)] * 66,000 = (29/87) * 66,000 = 66000/3 = 22000 
Question 4 of 15
4. Question
1 pointsCategory: Quantitative AptitudeA, B and C can alone complete a work in 20, 24 and 30 days respectively. They started the work and B left the work 3 days before completion. How much of the total work did B did?
Correct
Explanation:
Let work completed in x days, so A and C worked for all x days, and B for (x3) days. So
(1/20 + 1/30)*x + (1/24)*(x3) = 1
(1/12)*x + (1/24)*(x3) = 1
x/12 + x/24 = 1 + 1/8
Solve, x = 9 days
So worked for (93) = 6 days
In 6 days, B did 6/24 = 1/4 of workIncorrect
Explanation:
Let work completed in x days, so A and C worked for all x days, and B for (x3) days. So
(1/20 + 1/30)*x + (1/24)*(x3) = 1
(1/12)*x + (1/24)*(x3) = 1
x/12 + x/24 = 1 + 1/8
Solve, x = 9 days
So worked for (93) = 6 days
In 6 days, B did 6/24 = 1/4 of work 
Question 5 of 15
5. Question
1 pointsCategory: Quantitative AptitudeA box contains 3 blue, 5 green and 4 red balls. If two balls are drawn at random, what is the probability that no ball is green in color?
Correct
Explanation:
Total balls = 12
Not green means 2 balls from blue or red color i.e. any of (3+4) = 7 balls
So prob. = ^{7}C_{2} / ^{12}C_{2}Incorrect
Explanation:
Total balls = 12
Not green means 2 balls from blue or red color i.e. any of (3+4) = 7 balls
So prob. = ^{7}C_{2} / ^{12}C_{2} 
Question 6 of 15
6. Question
1 pointsCategory: Quantitative AptitudeThe average age of A, B and C is 87. If the average age of A and C is 85.5 and that of B and C is 90.5, find the age of C.
Correct
Explanation:
A+B+C = 3*87 = 261
A+C = 2*85.5 = 171
B+C = 2*90.5 = 181
Now A+B+C = 261
B + 171 = 261 , so B = 90
C = 181 – 90 = 91Incorrect
Explanation:
A+B+C = 3*87 = 261
A+C = 2*85.5 = 171
B+C = 2*90.5 = 181
Now A+B+C = 261
B + 171 = 261 , so B = 90
C = 181 – 90 = 91 
Question 7 of 15
7. Question
1 pointsCategory: Quantitative AptitudeThe metal to be used for covering a cylinder having external radius 5 cm, height 21 cm and thickness 1 cm is to be cast from a cylinder. What should be the height of the cylinder of radius 3 cm from which this casting can be done?
Correct
Explanation:
Volume of metal to be casted = (22/7)*[(5)^{2} – (4)^{2}]*21
So (22/7)*3^{2}*h = (22/7)*[(5)^{2} – (4)^{2}]*21
Solve, h = 21Incorrect
Explanation:
Volume of metal to be casted = (22/7)*[(5)^{2} – (4)^{2}]*21
So (22/7)*3^{2}*h = (22/7)*[(5)^{2} – (4)^{2}]*21
Solve, h = 21 
Question 8 of 15
8. Question
1 pointsCategory: Quantitative AptitudeA certain sum of money invested at 5% for 6 years yields Rs 630 as simple interest. At what rate of interest the same amount can be received on the same sum after 10 years?
Correct
Explanation:
P*5*6/100 = 630
P = 2100
So 2100*r*10/100 = 630
Solve, r = 3%Incorrect
Explanation:
P*5*6/100 = 630
P = 2100
So 2100*r*10/100 = 630
Solve, r = 3% 
Question 9 of 15
9. Question
1 pointsCategory: Quantitative AptitudeThree friends A, B and C divide Rs 2400 among them in the ratio 4 : 3 : 5 respectively. If to each of their shares Rs 400 is added, what will be the new ratio of dividing the total money among them?
Correct
Explanation:
A got = [4/(4+3+5)] * 2400 = 800, B got = [3/(4+3+5)] * 2400 = 600, C got = [5/(4+3+5)] * 2400 = 1000
When 400 is added to their shares, A gets=800+400 = 1200, B = 1000, C =1400
So new ratio is 1200 : 1000 : 1400Incorrect
Explanation:
A got = [4/(4+3+5)] * 2400 = 800, B got = [3/(4+3+5)] * 2400 = 600, C got = [5/(4+3+5)] * 2400 = 1000
When 400 is added to their shares, A gets=800+400 = 1200, B = 1000, C =1400
So new ratio is 1200 : 1000 : 1400 
Question 10 of 15
10. Question
1 pointsCategory: Quantitative AptitudeThe sum of the present ages of Ravi and Shikha is 100. Also after 4 years, Ravi’s age will be thrice of Shikha’s. What is the difference in their ages?
Correct
Explanation:
Ravi = x, Shikha = 100x
After 4 years, (x+4) = 3 [(100x) + 4]
Solve, x = 77 = Ravi’s age
So Shikha’s = 10077 = 23
Difference in their ages = 77 – 23 = 54Incorrect
Explanation:
Ravi = x, Shikha = 100x
After 4 years, (x+4) = 3 [(100x) + 4]
Solve, x = 77 = Ravi’s age
So Shikha’s = 10077 = 23
Difference in their ages = 77 – 23 = 54 
Question 11 of 15
11. Question
1 pointsCategory: Quantitative AptitudeIn how many ways all the letters of the word ‘LAYOUT’ be arranged such that all vowels are together?
Correct
Explanation:
Take vowels in a box together as one – AOU, other are L, Y, T
So there are 4 that to be placed for this 4!, now inside the box having vowels are 3letters their arrangement is 3!
So total = 4!*3!Incorrect
Explanation:
Take vowels in a box together as one – AOU, other are L, Y, T
So there are 4 that to be placed for this 4!, now inside the box having vowels are 3letters their arrangement is 3!
So total = 4!*3! 
Question 12 of 15
12. Question
1 pointsCategory: Quantitative AptitudeAn article is marked 20% above the cost price with marked price being Rs 864. The profit gets increased by Rs 108, when the selling price of this article is increased by 10%. What is the original selling price of the article?
Correct
Explanation:
MP = 864, Also given MP = (120/100)*CP, so CP = Rs 720
Now SP – 720 = Profit(P)
Now given that, when SP increased by 10%, CP is same and profir increased by 108 i.e. becomes P+108, so
(110/100)*SP – 720 = P + 108
Put P = SP – 720 in it
(110/100)*SP – 720 = SP – 720 + 108
(11/10)*SP – SP = 720 – 720 + 108
SP/10 = 108Incorrect
Explanation:
MP = 864, Also given MP = (120/100)*CP, so CP = Rs 720
Now SP – 720 = Profit(P)
Now given that, when SP increased by 10%, CP is same and profir increased by 108 i.e. becomes P+108, so
(110/100)*SP – 720 = P + 108
Put P = SP – 720 in it
(110/100)*SP – 720 = SP – 720 + 108
(11/10)*SP – SP = 720 – 720 + 108
SP/10 = 108 
Question 13 of 15
13. Question
1 pointsCategory: Quantitative Aptitude24% of 750 + 14.2 * 2.5 + 20.2 * 0.5 =
Correct
Explanation:
24% of 750 + 14.2 * 2.5 + 20.2 * 0.5
180 + 35.5 + 10.1Incorrect
Explanation:
24% of 750 + 14.2 * 2.5 + 20.2 * 0.5
180 + 35.5 + 10.1 
Question 14 of 15
14. Question
1 pointsCategory: Quantitative Aptitude(3/4) + (2/3) + (1 1/3) + (2 2/3) =
Correct
Explanation:
(3/4) + (2/3) + (1 1/3) + (2 2/3)
(3/4) + (2/3) + (4/3) + (8/3)
(3/4) + (14/3) = (9+56)/12Incorrect
Explanation:
(3/4) + (2/3) + (1 1/3) + (2 2/3)
(3/4) + (2/3) + (4/3) + (8/3)
(3/4) + (14/3) = (9+56)/12 
Question 15 of 15
15. Question
1 pointsCategory: Quantitative AptitudeHow many words of 4 letters can be formed with the letters of word ‘ACTIVE’ when no letter can repeat in the word?
Correct
Explanation:
ACTIVE is 6 letters
Since no letter to be repeated, 6 choices for 1st letter, 5 for 2nd, 4 for 3rd and 3 for 4th
6*5*4*3Incorrect
Explanation:
ACTIVE is 6 letters
Since no letter to be repeated, 6 choices for 1st letter, 5 for 2nd, 4 for 3rd and 3 for 4th
6*5*4*3
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