NMAT Data Sufficiency MCQs with Solutions: Practice NMAT Previous Year Questions (PYQs)

The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
A company has two kinds of employees - supervisors and clerks. The total monthly salary of the employees is Rs.2,85,000. What is the total number of employees in that company?
A. The ratio of the number of supervisors to that of clerks in the company is 4:5.
B. The total monthly salary of all the supervisors is 28\(\%\) more than that of clerks.
20\(\%\) of the clerk's monthly salary is Rs.25,000.

The question is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statements) is redundant and can be dispensed with while answering the questions.
A person deposited two sums with a moneylender at 5% simple interest for 2 years and 3 years respectively. Find the two sums.
A. The two sums are equal.
B. Difference between the interests is Rs.250.
C. Had the sums been deposited at 5% compound interest, the difference would have been Rs.275.60.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
What is the original number?
I. Sum of two digits of a number is 10. The ratio between the two digits is 1:4.
II. Product of two digits of a number is 16. Quotient of the two digits is 4.

The question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
Find the length of the side of a square.
A. Total cost of flooring the square is Rs.1,000 at the rate of Rs.40 per square meter.
B. A rectangle whose perimeter is 20 m is equal to the perimeter of the square.
C. A square of area equal to 50 sq. m can be made on the diagonal of the given square.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
A train crosses a signal post in X seconds. What is the length of the train?
I. The train crosses a platform of 100 meters in Y seconds.
II. The train is running at the speed of 80 km/hr.

The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
How much marks did Mohan obtain in Hindi? To get the answer which of the following information is/are necessary/sufficient?
A. The average marks obtained by Mohan in Hindi, Math and Biology are 72.
B. The total marks obtained by him in Hindi and Math are 129.
C. The total marks obtained by him in History and Biology are 143.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Ram works for 5 days and leaves the job. Then in how many days will the remaining work be done by Vikas and Sarfaraz together?
I. Ram alone can do the entire work in 30 days and Sarfaraz is twice as efficient as Vikas.
II. \(33\frac{1}{3}\%\) of the work is done by Ram in 10 days whereas Vikas and Sarfaraz together can do \(33\frac{1}{3}\%\) work in 2 days

The question is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statements) is redundant and can be dispensed with while answering the questions.
An article is sold at 12% discount. Find the % gain.
A. If the article had been sold for Rs.120 less, there would have been no profit no loss.
B. Had the article been sold for Rs.30 more, the gain would have been 12.5%.
C. Cost price of the article is Rs.1,200.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
In what time does a sum of money become four times on simple interest?
I. Rs.4000 amounts to Rs.4800 in two years on SI.
II. The difference between compound interest and simple interest at the end of two years is Rs.40.

The question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
Rajnish buys 30 books and 65 pens. What money does he have to pay for this?
A. At a profit of 20% he sells all the objects for Rs.3,828.
B. The CP of one book and one pen is Rs.90.
C. The difference of sum and difference of buying price of one pen and one book is Rs.28.

The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is \(66\frac{2}{3}\%\) more than that of X.
C. The product of the present ages of X and Y is 240 years.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Ram’s efficiency is 50\(\%\) more than Shyam’s. In how many days can Shayam alone do the whole work?
I. Ram and Shyam together can do the whole work in 12 days.
II. Ram worked for 4 days and left the work and the remaining work was done by Shyam alone in 24 days.

The question is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statements) is redundant and can be dispensed with while answering the questions.
Find the length of the platform.
A. A train X, which is running at the speed of 25 \(\frac{km}{hr}\), takes 18 seconds to pass a platform.
B. The train X crosses a man who is walking at 5 \(\frac{km}{hr}\) in the opposite direction in 12 seconds.
C. The train X crosses a stationary pole in 14.4 seconds.

The question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
A company has two kinds of employees – supervisors and clerks. The total monthly salary of the employees is Rs.2,85,000.
What is the total number of employees in that company?
A. The ratio of the number of supervisors to that of clerks in the company is 4:5.
B. The total monthly salary of all the supervisors is 28% more than that of clerks.
C. 20% of the clerks’ monthly salary is Rs.25,000.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
By selling a product at 20\(\%\) profit, how much profit was earned?
I. The difference between cost and selling price is Rs.40.
II. The selling price is 120 per cent of the cost price.