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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

A 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 days

Incorrect

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 points

Category: Quantitative Aptitude

What 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 points

Category: Quantitative Aptitude

The 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 points

Category: Quantitative Aptitude

A 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 = ᴨr^{2}h = (22/7) * (7/2) * (7/2) * 16

Incorrect

Explanation:
Height is 16 cm, this means the base is having circumference = 22 cm
So 2ᴨr = 22
Solve, r = 7/2 cm
So volume = ᴨr^{2}h = (22/7) * (7/2) * (7/2) * 16

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A 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 = 6

Incorrect

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 points

Category: Quantitative Aptitude

When 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 km

Incorrect

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 points

Category: Quantitative Aptitude

The 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 points

Category: Quantitative Aptitude

A 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 = 11400

Incorrect

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 points

Category: Quantitative Aptitude

In 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!