## NMAT 2023 Exam- Complete Syllabus and Mock Test Sections Questions Time* Score Logical Reasoning 36 40 12-120 Quantitative 36 28 12-120 Language Skills 36 52 12-120 Total 108 120 360
• No negative marking
• All sections are equally weighted

### NMAT Exam Section Topics

• Logical Reasoning: Critical Reasoning, Analytical Puzzles, Deductions, and Other
• Reasoning Language Skills: Reading Comprehension, Para Forming, Error Identification, Prepositions, Sentence Completion, Analogies
• Quantitative Skills: Number Properties, Arithmetic, Algebra and Probability, Data Integration Caselets and Tables, Data Integration Graphs and Charts, Data Sufficiency

## Quantitative Test

51 Quantitative SET 1

1 / 18

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

2 / 18

y = x2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?

3 / 18

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

4 / 18

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

5 / 18

If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?

6 / 18

The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

7 / 18

If 10, 12, and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?

8 / 18

In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?

9 / 18

If loga(ab) = x, then logb(ab) = ?

10 / 18

In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?

11 / 18

A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:

12 / 18

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

13 / 18

If each side of a square is increased by 25%, find the percentage change in its area?

14 / 18

What is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?

15 / 18

What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

16 / 18

For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 NOT have a unique solution?

17 / 18

If 7(X-2)=3X-2

18 / 18

If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is

## Quantitative Test

61 Quantitative SET 2

1 / 18

In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

2 / 18

How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!?

3 / 18

If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much % should he reduce the quantity of gasoline that he buys?

4 / 18

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

5 / 18

If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or % loss made by the merchant?

6 / 18

A fair coin is tossed 'n' times. If the number of outcomes in which two heads will appear is 28, what is the value of 'n'?

7 / 18

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

8 / 18

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

9 / 18

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

10 / 18

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

11 / 18

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

12 / 18

A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?

13 / 18

y = x2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?

14 / 18

The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2 ?

15 / 18

In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

16 / 18

For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 NOT have a unique solution?

17 / 18

If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is

18 / 18

How many keystrokes are needed to type numbers from 1 to 1000?

## Quantitative Test

4 Quantitative SET 3

1 / 18

What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

2 / 18

y = x2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?

3 / 18

A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:

4 / 18

By selling an article at 80% of its marked price, a merchant makes a loss of 12%. What % profit will the merchant make if the article is sold at 95% of its marked price?

5 / 18

How many keystrokes are needed to type numbers from 1 to 1000?

6 / 18

What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?

7 / 18

Data Sufficiency: Set A contains distinct integers: A = {2, 4, 6, -8, x, y}. When two numbers from this set are selected and multiplied, what is the probability that the product is less than zero?

8 / 18

What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%?

9 / 18

A, B, and C each working alone can complete a job in 6, 8, and 12 days respectively. If all three of them work together to complete a job and earn \$2340, what will be C's share of the earnings?

10 / 18

A fair coin is tossed 'n' times. If the number of outcomes in which two heads will appear is 28, what is the value of 'n'?

11 / 18

In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

12 / 18

How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!?

13 / 18

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

14 / 18

In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

15 / 18

A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?

16 / 18

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

17 / 18

How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?

18 / 18

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

The average score is 6%

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