NMTC GAUSS Primary Level 2025 Solved Question Paper PDF

NMTC GAUSS Primary Level 2025 Solved PDF - Question 1

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The value of $$\frac{9999 + 7777 + 5555}{8888 + 6666 + 4444} $$ is

A

1

B

$$\frac{755}{448}$$

C

$$\frac{7}{6}$$

D

$$\frac{1}{6}$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 2

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The sum of three prime numbers is 30. How many such sets of prime numbers are there?

A

1

B

2

C

3

D

0

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 3

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In the adjoining figure, lines $$\ell_1$$ and $$\ell_2$$ are parallel lines. $$ABC$$ is an equilateral triangle. $$AD$$ bisects $$\angle EAB$$. Then $$x$$ is

A

$$100^\circ$$

B

$$95^\circ$$

C

$$105^\circ$$

D

$$110^\circ$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 4

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In the figure, $$ABCD$$ is a square. It consists of squares and rectangles of areas $$1\ \text{cm}^2$$ and $$2\ \text{cm}^2$$ as shown. The perimeter of the square $$ABCD$$ (in cm) is

A

17

B

15

C

16

D

14

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 5

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If $$a \ast b = \frac{a + b}{a - b}$$, then the value of $$\frac{13 \ast 6}{5 \ast 2}$$ is

A

$$\frac{21}{4}$$

B

$$\frac{17}{3}$$

C

$$\frac{19}{39}$$

D

$$\frac{57}{49}$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 6

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In the adjoining figure, the distance between any two adjacent dots is 1 cm. The area of the shaded region (in $$\text{cm}^2$$) is

A

$$\frac{31}{3}$$

B

$$\frac{31}{2}$$

C

$$\frac{33}{2}$$

D

$$\frac{35}{2}$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 7

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Three natural numbers $$n_1$$, $$n_2$$, $$n_3$$ are taken. Let $$ n_{1} < n_{2} < n_{3} $$ and $$n_1 + n_2 + n_3 = 6$$. The value of $$n_3$$ is

A

1

B

2

C

3

D

1 or 2 or 3

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 8

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In the adjoining figure, AP and EQ are respectively the bisectors of $$\angle BAC$$ and $$\angle DEF$$. Then, the measure of angle $$x$$ is

A

$$90^\circ$$

B

$$85^\circ$$

C

$$105^\circ$$

D

$$75^\circ$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 9

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The number of two-digit positive integers which have at least one 7 as a digit is

A

17

B

19

C

9

D

18

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 10

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The fractions $$\frac{1}{5}$$ and $$\frac{1}{3}$$ are shown on the number line. In which position should $$\frac{1}{4}$$ be shown?

A

$$p$$

B

$$q$$

C

$$r$$

D

$$s$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 11

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Samrud reads $$\frac{1}{3}$$ of a story book on the first day, $$\frac{1}{2}$$ of the remaining book on the second day and $$\frac{1}{4}$$ of the remaining book as on the end of the first day, on the third day, and is left with 23 pages unread. The number of pages of the book is

A

138

B

148

C

128

D

136

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 12

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The product of four different natural numbers is 100. What is the sum of the four numbers?

A

20

B

10

C

12

D

18

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 13

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Peter starts from a point A in a playground and walks $$100\ \text{m}$$ towards East. Then he walks 30 m towards North and then 70 m towards West and then finally 10 m North to reach the point B. The distance between A and B (in metres) is

A

50

B

42

C

40

D

30

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 14

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In the adjoining figure $$\angle DAB$$ is $$8^\circ$$ more than $$\angle ADC$$, and $$\angle BCD$$ is $$8^\circ$$ less than $$\angle ADC$$. $$\angle FEB$$ is half of $$\angle FBE$$. Then the measure of $$\angle BFE$$ is

A

$$54^\circ$$

B

$$52^\circ$$

C

$$49^\circ$$

D

$$50^\circ$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 15

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The fraction to be added to the fraction $$\frac{1}{2 + \frac{1}{3 + \frac{1}{1 + \frac{1}{4}}}}$$ to get 1 is

A

$$\frac{26}{43}$$

B

$$\frac{18}{43}$$

C

$$\frac{24}{43}$$

D

$$\frac{23}{43}$$

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 16

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Some amount of money is divided among A, B and C, so that for every Rs. ₹100 A has, B has Rs. ₹65 and C has Rs. ₹40. If the share of C is Rs. ₹4000, the total amount of money (in rupees) is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 17

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ABCDE is a pentagon. The angles $$A$$, $$B$$, $$C$$, $$D$$, $$E$$ are in the ratio $$8 \colon 9 \colon 12 \colon 15 \colon 10$$. The external bisector of B and the internal bisector of C meet at P. Then the measure of $$\angle BPC$$ is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 18

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The least number, when lessened (decreased) by 5, to be divisible by 36, 48, 21, and 28 is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 19

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When $$10\frac{5}{6}$$ is divided by 91, we get a fraction $$\frac{a}{b}$$, where $$a$$ and $$b$$ are natural numbers with no common factors other than 1. Then $$(b - a)$$ is equal to

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 20

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Let $$p$$ be the smallest prime number such that the numbers $$(p + 6)$$, $$(p + 8)$$, $$(p + 12)$$ and $$(p + 14)$$ are also prime. Then the remainder when $$p^2$$ is divided by 4 is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 21

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A bag contains a certain number of black and white balls, of which 90% are black. When 9 white balls are added to the bag, the ratio of the black balls to the white balls is $$4 \colon 3$$. The number of white balls in the bag at the beginning is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 22

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In the adjoining figure, the sum of the measures of the angles $$a$$, $$b$$, $$c$$, $$d$$, $$e$$, $$f$$ is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 23

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A basket contains apples, bananas, and oranges. The total number of apples and bananas is 88. The total number of apples and oranges is 80. The total number of bananas and oranges is 64. Then the number of apples is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 24

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ABC is an isosceles triangle in which $$AB = AC$$. EDF is an isosceles triangle in which $$EF = DE$$. FD is parallel to AC. The degree measure of marked angle $$x$$ is

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NMTC GAUSS Primary Level 2025 Solved PDF - Question 25

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The length and breadth of a rectangle are both prime numbers, and its perimeter is 40 cm. Then the maximum possible area of the rectangle (in $$\text{cm}^2$$) is

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