# NMTC 2018 Question Papers with Solutions Primary Level

NMTC is an acronym for * National Mathematics Talent Contest*. NMTC is conducted by AMTI (

*) to identify the talent of the students in Mathematics. In this post,*

**Association of Mathematics Teachers of India****NMTC 2018 Question Papers with Solutions Primary Level**is published.

**Part A: Instruction:**

**Only One of the choices A, B, C, D is correct. For each correct response, you get 1 mark. For each incorrect response, you lose 1/2 mark. NMTC 2018 Question Papers with Solutions Primary Level.**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 1:**

Observe the following sequence. What is the 100^{th} term? 7, 8, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 3, …

**Options:**

A. 1

B. 0

C. 2

D. 3

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 2**

A number is multiplied by 3 then by 1/3, then by 4, then by 1/5 then by 6 and finally by 1/7. The answer is 16. Then the number is

**Options:**

A. Odd

B. Even

C. A square

D. A Cube

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 3**

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

**Options:**

A. 280

B. 278

C. 276

D. 275

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 4**

The value of 1 + 21 + 41 + 61 + 81 – 11 – 31 – 51 – 71 – 91 is

**Options:**

A. -50

B. 50

C. 100

D. -100

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 5**

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

**Options:**

A. 1/2

B. 2/3

C. 3/4

D. 3/10

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 6**

The sum of the numbers in the three brackets () is

**Options:**

A. 60

B. 55

C. 50

D. 45

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 7**

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

**Options:**

A. 205

B. 312

C. 215

D. 207

**Solution:**

**NNMTC 2018 Question Papers With Solutions Primary Level Ques No 8**

A square of side 3 cm in 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)

**Options:**

A. 7

B. 6

C. 5

D. 8

**Solution:**

**NMTC 2018 Question Papers With Solutions Primary**** Level Ques No 9**

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

**Options:**

A. 48

B. 96

C. 120

D. 126

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 10**

The fraction to be added to to get the fraction is

**Options:**

A.

B.

C.

D.

**Solution:**

**Part B: Instruction:**

**Write the correct answer in the space provided in the responsive sheet. For each correct response, you get 1 mark. For each incorrect response, you lose 1/4 mark.**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 11**

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

**Solution: BONUS **as some information is missing in the question.

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 12**

ABC is a triangle in which the angles are in the ratio 3 : 4 : 5. PQR is a triangle in which the angles are in the ratio 5 : 6: 7. The difference between the least angle of ABC and the least angle of PQR is a Degree (alpha). Then a (alpha)______

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 13**

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

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 14**

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

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 15**

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

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 16**

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

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 17**

In The value of

is ______.

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 18**

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

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 19**

If A#B = (AB)/(A+B), the value of (12#8)/(8#4) + (10#6)/(6#2) is______

**Solution:**

**NMTC 2018 Question Paper With Solutions Primary**** Level Ques No 20**

When water becomes ice, its volume increases by 10%. When ice melts into water its volume decrease by a%. Then a = ________

**Solution:**

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