NMTC GAUSS Primary Level 2018 Solved Question Paper PDF

NMTC GAUSS Primary Level 2018 Solved PDF - Question 1

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Observe the following sequence. What is the 100th term? $$7, 8, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 3, \ldots$$

A

1

B

0

C

2

D

3

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 2

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A number is multiplied by 2 then by $$\frac{1}{3}$$, then by 4, then by $$\frac{1}{5}$$ then by 6 and finally by $$\frac{1}{7}$$. The answer is 16. Then the number is

A

odd

B

even

C

Square

D

a cube

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 3

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Samrud bought a t-shirt for Rs. 250. His friend Shlok wanted to buy it. Samrud wants to have a $$10\%$$ profit on that. The selling price is (in rupees)

A

280

B

278

C

276

D

275

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 4

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The value of $$1 + 21 + 4161 + 81 - 11 - 31 - 51 - 71 - 91$$ is

A

-50

B

50

C

100

D

-100

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 5

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In the adjoining figure what portion of the figure is shaded?

A

$$\frac{1}{2}$$

B

$$\frac{2}{3}$$

C

$$\frac{3}{4}$$

D

$$\frac{3}{10}$$

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 6

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The sum of the numbers in the three brackets ( ) is $$\frac{( )}{24} = \frac{20}{( )} = \frac{24}{18} = \frac{4}{( )}$$

A

60

B

55

C

50

D

45

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 7

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A is the smallest three digit number which leaves a remainder 2 when divided by 17. B is the smallest three digit number which leaves a remainder 7 when divided by 12. Then $$A + B$$ is

A

205

B

312

C

215

D

207

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 8

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A square of side 3 cm is cut into 9 equal squares. Another square of side 4 cm is cut into 16 equal squares. Saket made a bigger square using all the smaller square bits. The length of the side of the bigger square is (in cm)

A

7

B

6

C

5

D

8

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 9

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A contractor constructed a big hall, rectangular in shape, with length 32 meters and breadth 18 meters. He wanted to buy 1 meter by 1 meter tiles. But in the shop 3 meter by 2 meter tiles only were available. How many tiles he has to buy for tiling the floor?

A

48

B

96

C

120

D

126

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 10

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The fraction to be added to $$2\frac{1}{3}$$ to get the fraction $$4\frac{4}{7}$$ is

A

$$2\frac{1}{21}$$

B

$$2\frac{4}{21}$$

C

$$2\frac{5}{21}$$

D

$$2\frac{6}{21}$$

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 11

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In the adjoining figure $$\angle BAD = \angle DAF = \angle FAC$$. GE is parallel to DF, and $$\angle EGA = 90^\circ$$. If $$\angle ACE = 70^\circ$$, the measure of $$\angle FDE$$ is

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 12

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$$ABC$$ is a triangle in which the angles are in the ratio $$3 \colon 4 \colon 5$$. PQR is a triangle in which the angles are in the ratio $$5 \colon 6 \colon 7$$. The difference between the least angle of $$ABC$$ and the least angle of PQR is $$a^\circ$$. Then $$a$$ =

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 13

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Samrud had to multiply a number by 35. By mistake he multiplied by 53 and got a result 720 more. The new product is

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 14

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Vishva plays football every 4th day. He played on a Tuesday. He plays football on a Tuesday again in is _____ days.

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 15

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In an elementary school $$26\%$$ of the students are girls. If there are 240 less girls than boys, then the strength of the school is

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 16

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There are three concentric circles as shown in the figure. The radii of them are $$2\text{ cm}$$, $$4\text{ cm}$$ and $$6\text{ cm}$$. The ratio of the area of the shaded region to the area of the dotted region is $$\frac{a}{b}$$ where $$a, b$$ are integers and have no common factor other than 1. Then $$a + b$$ =

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 17

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The value of $$\left(1+\frac{1}{9}\right)\left(1+\frac{1}{8}\right)\left(1+\frac{1}{7}\right)\left(1+\frac{1}{6}\right)\left(1+\frac{1}{5}\right)\left(1+\frac{1}{4}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{2}\right)$$ is

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 18

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When a two digit number divides 265, the remainder is 5. The number of such two digit numbers is

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 19

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If $$A \# B = \frac{A \times B}{A + B}$$, the value of $$\frac{12 \# 8}{8 \# 4} + \frac{10 \# 6}{6 \# 2}$$ is

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NMTC GAUSS Primary Level 2018 Solved PDF - Question 20

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When water becomes ice, its volume increases by $$10\%$$. When ice melts into water its volume decreases by $$a\%$$. Then $$a$$ =

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