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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeA and B can complete a work in 12 days, B and C in 8 days and A and C in 6 days. In how many days, B alone can do a work?
Correct
Explanation:
(1/a + 1/b) = 1/12,
(1/b + 1/c) = 1/8,
(1/a + 1/c) = 1/6
Now first two equations and subtract third
(1/a + 1/b) + (1/b + 1/c) – (1/a + 1/c) = 1/12 + 1/8 – 1/6
2/b = 1/12 + 1/8 – 1/6
Solve, b = 48 daysIncorrect
Explanation:
(1/a + 1/b) = 1/12,
(1/b + 1/c) = 1/8,
(1/a + 1/c) = 1/6
Now first two equations and subtract third
(1/a + 1/b) + (1/b + 1/c) – (1/a + 1/c) = 1/12 + 1/8 – 1/6
2/b = 1/12 + 1/8 – 1/6
Solve, b = 48 days -
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeWhat annual installment will discharge a debt of Rs 6450 due in 4 years at 5% simple interest?
Correct
Explanation:
I = 100A/ [100t + rt(t-1)/2]
So I = 100*6450/ [100*4 + 4*5*(4-1)/2] = 100*6450/ [400 + 30]Incorrect
Explanation:
I = 100A/ [100t + rt(t-1)/2]
So I = 100*6450/ [100*4 + 4*5*(4-1)/2] = 100*6450/ [400 + 30] -
Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeThe sum of all the two digit numbers is
Correct
Explanation:
First 2 digit number is 10, and last is 99
N total numbers are 90
So sum = 90/2 * (10+99)Incorrect
Explanation:
First 2 digit number is 10, and last is 99
N total numbers are 90
So sum = 90/2 * (10+99) -
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeA right circular cylinder is to be made from a rectangular sheet of dimensions 16 cm × 22 cm. if the cylinder has its height as 16 cm, what is the volume of the cylinder?
Correct
Explanation:
Height is 16 cm, this means the base is having circumference = 22 cm
So 2ᴨr = 22
Solve, r = 7/2 cm
So volume = ᴨr2h = (22/7) * (7/2) * (7/2) * 16Incorrect
Explanation:
Height is 16 cm, this means the base is having circumference = 22 cm
So 2ᴨr = 22
Solve, r = 7/2 cm
So volume = ᴨr2h = (22/7) * (7/2) * (7/2) * 16 -
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeA sum of money amounts to Rs 1888 in 3 years and Rs 2080 in 5 years. The rate of interest per annum is
Correct
Explanation:
P + SI for 3 yrs = 1888
P + SI for 5 yrs = 2080
Subtract these equations, So SI for 2 yrs = 192
So SI for 1 yr = 192/2 = Rs 96
So P + SI for 3 yrs = 1888 gives
P + 3*96 = 1888,
Solve, P = 1600
Now 96 = 1600*r*1/100
Solve, r = 6Incorrect
Explanation:
P + SI for 3 yrs = 1888
P + SI for 5 yrs = 2080
Subtract these equations, So SI for 2 yrs = 192
So SI for 1 yr = 192/2 = Rs 96
So P + SI for 3 yrs = 1888 gives
P + 3*96 = 1888,
Solve, P = 1600
Now 96 = 1600*r*1/100
Solve, r = 6 -
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeWhen a boy walked at 5 km/hr from home, he reached school 10 minutes late and when the same boy walked at 10 km/hr, he reached school 5 minutes earlier. What is the distance between his home and school?
Correct
Explanation:
Difference in time = 10 – (-5) = 15 minutes or 1/4 hr
Distance = Product of speeds/Difference of speeds * Difference in time
i.e. [5*10/(10-5)] * 1/4 = 2.5 kmIncorrect
Explanation:
Difference in time = 10 – (-5) = 15 minutes or 1/4 hr
Distance = Product of speeds/Difference of speeds * Difference in time
i.e. [5*10/(10-5)] * 1/4 = 2.5 km -
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeThe marked price of products A and B is in the ratio 2 : 3. A discount of 20% is offered on product A. If the whole discount got is 17%, then what is the discount % offered on product B?
Correct
Explanation:
MP – 2x and 3x
20% of first, so discount = (20/100)*2x = 40x/100
Now 17% on whole (2x+3x), so discount = (17/100)*5x = 85x/100
So discount on second product = 85x/100 – 40x/100 = 45x/100
So y% of 3x = 45x/100
Solve, y = 15%Incorrect
Explanation:
MP – 2x and 3x
20% of first, so discount = (20/100)*2x = 40x/100
Now 17% on whole (2x+3x), so discount = (17/100)*5x = 85x/100
So discount on second product = 85x/100 – 40x/100 = 45x/100
So y% of 3x = 45x/100
Solve, y = 15% -
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeA and B invested in a business as Rs 2800 and Rs 5400 respectively. After 4 months C joins with Rs 4800. If after a year, A gets Rs 2800 as his share of profit, what is the total profit?
Correct
Explanation:
2800*12 : 5400*12 : 4800*8
14 : 27 : 16
so (14)/(14+27+16) = 2800
solve, x = 11400Incorrect
Explanation:
2800*12 : 5400*12 : 4800*8
14 : 27 : 16
so (14)/(14+27+16) = 2800
solve, x = 11400 -
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeIn how many ways all the letters of the word ‘EQUATION’ be arranged such that all vowels are together?
Correct
Explanation:
Take vowels in a box together as one – EUAIO, other are Q, T, N
So there are 4 that to be placed for this 4!, now inside the box having vowels are 5 vowels their arrangement is 5!
So total = 4!*5!Incorrect
Explanation:
Take vowels in a box together as one – EUAIO, other are Q, T, N
So there are 4 that to be placed for this 4!, now inside the box having vowels are 5 vowels their arrangement is 5!
So total = 4!*5! -
Question 10 of 10
10. 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
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