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Rs 420 was divided between three peoples – A, B, and C. If each of them had been given Rs. 18 less than the actual amount given to them, their shares would become in the ratio of 11 : 18 : 32. Find the actual ratio of their shares respectively.

Correct

Explanation:
(11x+18) + (18x+18) + (32x+18) = 420
61x = 366
So x = 6
So actual ratio is 11x+18 : 18x+18 : 32x+18
Put value of x

Incorrect

Explanation:
(11x+18) + (18x+18) + (32x+18) = 420
61x = 366
So x = 6
So actual ratio is 11x+18 : 18x+18 : 32x+18
Put value of x

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

An item is sold at a certain selling price. Had the same item been sold at 2/3rd of its actual selling price a loss of 20% is incurred. Find the actual profit made.

Correct

Explanation:
SP = x
CP = y
New SP = 2x/3
So 20 = (y – 2x/3)/y * 100
We have only one equation with 2 variables.

Incorrect

Explanation:
SP = x
CP = y
New SP = 2x/3
So 20 = (y – 2x/3)/y * 100
We have only one equation with 2 variables.

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

A bag contains 5 blue balls, 3 green balls and 2 white balls. If three balls are chosen at random, what is the probability that the three balls are of same color?

Correct

Explanation:
Case1: all blue ^{5}C_{3}/^{10}C_{3} = 1/12
Case2: all green ^{3}C_{3}/^{10}C_{3} = 1/120
Case3: all white
This case cannot happen because only 2 white balls are there,
Add both cases

Incorrect

Explanation:
Case1: all blue ^{5}C_{3}/^{10}C_{3} = 1/12
Case2: all green ^{3}C_{3}/^{10}C_{3} = 1/120
Case3: all white
This case cannot happen because only 2 white balls are there,
Add both cases

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

The sum of three consecutive odd numbers and three consecutive even numbers together is 177. Also, the smallest odd number is 9 less than the smallest even number. What is the sum of the largest odd number and the largest even number?

Correct

Explanation:
Let smallest odd number is x
So x, x+2, x+4 are odd numbers
And even are x+9, x+11, x+13
So x + x+2 + x+4 + x+9 + x+11 + x+13 = 177
Solve, x = 23
So ans = x+4 + x+13 = 2x+17

Incorrect

Explanation:
Let smallest odd number is x
So x, x+2, x+4 are odd numbers
And even are x+9, x+11, x+13
So x + x+2 + x+4 + x+9 + x+11 + x+13 = 177
Solve, x = 23
So ans = x+4 + x+13 = 2x+17

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

B and C together can complete a piece of work in the same time in which A can alone do it. If C alone can complete the work in 50 days and A and B together can do it in 10 days, then find the number of days in which B alone could do it in.

Correct

Explanation:
Let B+C in x days, then A in x days
(1/A + 1/B) = 1/10
So (1/x + 1/B) = 1/10
AND
(1/B + 1/C) = 1/x
So (1/B + 1/50) = 1/x
Solve both equations
B in 25 days

Incorrect

Explanation:
Let B+C in x days, then A in x days
(1/A + 1/B) = 1/10
So (1/x + 1/B) = 1/10
AND
(1/B + 1/C) = 1/x
So (1/B + 1/50) = 1/x
Solve both equations
B in 25 days