Quant Quiz

Question.1. There are 9 red, 7 white and 4 black balls in an urn. If two balls are selected at random, what is the probability that one ball is white and the other ball is red?

1 91/190

2 63/190

3 5/19

4 4/95

5 71/190

Direction (Q. 2 to 5): Each question below is followed by two statements A and B. You are have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

(1) if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
(2) if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
(3) if both statements A and B together are needed to answer the question.
(4) if either the statement A alone or statement B alone is sufficient to answer the question.
(5) if you cannot get the answer from the statement A and B together, but need even more data.

Question.2. How many women can complete a piece of work in 15 days?

A. If 12 women can complete the same piece of work in 20 days.

B. If 10 men can complete the same piece of work in 12 days.

Question.3. What is the rate of interest per annum on an amount of 12000 deposited in a Bank?

A. The difference between the simple interest and compound interest is 172.8.

B. The simple interest for two years is 2880.

Question.4. What is the three digit number?

A. The three digit number is exact multiple of 13.

B. The first and the third digit are 7.

Question.5. What is the age of C, in a group of A, B, C, D and E whose average age is 45 years?

A. Average of the ages of A and B is 53 years.

B. Average of the ages of D and E is 47 years.

Directions (Q. 6-10) : Study the table carefully to answer the questions that follow.

Monthly Bill (in rupees) of landline phone, electricity, laundry and mobile phone paid by three different people in five different months.

(Click here if table not loaded above)

Question.6. What is the total amount of bill paid by Dev in the month of June for all the four commodities?

1) 608/-
2) 763/-
3) 731/-
4) 683/-
5) 674/-

Question.7. What is the average electricity bill paid by Manu over all the five months together?

1) 183/-

2) 149/-

3) 159/-

4) 178/-

5) 164/-

Question.8. What is the difference between the mobile phone bill paid by Ravi in the month of May and the laundry bill paid by Dev in the month of March?

1) 180/-

2) 176/-

3) 190/-

4) 167/-

5) 196/-

Question.9. In which months respectively did Manu pay the second highest mobile phone bill and the lowest electricity bill?

1) April and June

2) April and May

3) March and June

4) March and May

5) July and May

Question.10. What is the respective ratio between the electricity bill paid by Manu in the month of April and the mobile phone bill paid by Ravi in the month of June?

1) 27 : 49

2) 27 : 65

3) 34 : 49

4) 135 : 184

5) 13 : 24

Solutions:

Answer.1. 2; 
Total possible outcomes = 190 
Favourable outcomes = Selection of 1 ball out of 9 red balls and 1 ball from 7 white balls = 9C1 x 7C1 = 9 x 7 = 63
Hence, Required probability = 63/190

Answer.2. 1; 
Only A alone is sufficient to solve the question. B mentions about the number of men and not the number of women.

Answer.3. 2; 
To find the rate of interest we require three value in the equation

I = PRT/100, i.e I, P and T. B gives these values.

Answer.4. 3;
From (B) we get the numbers as 707, 717, 727, …, 787 and 797. Again, with the help of (A), we get that among these numbers only 767 is divisible by 13.

Answer.5. 3;
Age of C = Total age – age of (A + B + C + D + E)
= Total age – 2 × Average ages of (A + B) – 2 × Average ages of (D + E).

Solutions for Question (6 – 10):

Question.6. 3; 
Total amount of bill paid by Dev in month of June for all four commodities = Rs. (123 + 150 + 324 + 134) = Rs.731

Question.7. 3; 
Average electricity paid by Manu over all the five months together = (315 + 135 + 98 + 116 + 131)/5 = 795/5 = Rs. 159

Question.8. 1; 
Mobile phone bill paid by Ravi in Month of May = 143
And Laundry bill paid by Dev in Month of March = 323
Diffrence = 323 – 143 = 180 Rs.

Question.9. 4;
In the month of March, Manu paid second highest mobile phone bill of Rs. 345
And in the month of May, Manu paid the lowest Electricity bill of Rs. 98

Question.10. 1;
Electricity paid by Ravi in the month of April = Rs. 135
and Mobile phone bill paid by Ravi in the month of June = Rs. 245

Hence, Respective ratio = 135 : 245 = 27 : 49