Contents

# NMTC 2019 Primary Level Class 5 & 6

NMTC 2019 Primary Level Class 5 and 6 is the exam conducted by AMTI. It was scheduled on 31 August 2019 at 2 PM to 4 PM.

Read: NMTC 2019 Notification

## NMTC 2019 Primary Level Question Paper

NMTC 2019 Primary Level exam was conducted on 31 August 2019.

## NMTC 2019 Primary Level Answer Keys

NMTC 2019 Primary Level | |||||||
---|---|---|---|---|---|---|---|

Answer Keys | |||||||

Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |

1 | C | 9 | A | 17 | 15 | 25 | Black |

2 | A | 10 | C | 18 | 11 | ||

3 | A | 11 | A | 19 | 4 | ||

4 | D | 12 | A | 20 | 22 | ||

5 | Bonus | 13 | B | 21 | 90 | ||

6 | B | 14 | B | 22 | 3 | ||

7 | C | 15 | B | 23 | 100000 | ||

8 | C | 16 | 23 | 24 | 31 |

## NMTC 2019 Primary Level Solutions

**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 2019 Question Papers With Solutions Primary**** Level Ques No 1:**

How many glasses of 120 millilitres can you fill from a 3 litre can of juice?

**Options:**

A. 20

B. 24

C. 25

D. 60 ml is left in the can after filling as many glasses as possible

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 2:**

The sum of 2211 + 2213 + 2215 + 2217 + 2219 + 2221 + 2223 + 2225 + 2227 + 2229 is

**Options:**

A. 22200

B. 22225

C. 22250

D. 22275

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 3:**

If a number is first multiplied by 4/7 and then divided by 12/7 then it is equivalent to which of the following operations on the number?

**Options:**

A. Multiplying by 1/3

B. Dividing by 1/3

C. Multiplying by 3

D. Dividing by 2/3

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 4:**

X is a 5 digit number. Let Y be the sum of the digits of X. Let Z be the sum of the digits of Y. Then the maximum possible value of that Z can have is

**Options:**

A. 9

B. 8

C. 10

D. 12

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 5:**

A square is constructed on a graph paper which has a square of 1 cm width. Ram paints all the squares which cross the two diagonals of the square and finds that there are 19 of them. Then the side of the square is

**Options:**

A. 20

B. 19

C. 10

D. 9

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 6:**

Look at the set of numbers {2, 3, 5, 7, 8, 10, 12}. Four numbers are selected from this and made into two pairs. The pairs are added and the resulting two numbers are multiplied. The smallest such product is

**Options:**

A. 72

B. 60

C. 54

D. 64

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 7:**

Anita wants to enter a number into each small triangular cell of the triangular table. The sum of the numbers in any two such cells with a common side must be the same. She has already entered two numbers. What is the sum of all the numbers in the table?

**Options:**

A. 19

B. 20

C. 21

D. 22

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 8:**

If

where A, B C, D and E are distinct digits satisfying this addition fact, then E is

**Options:**

A. 3

B. 5

C. 2

D. 4

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 9:**

A large rectangle is made up of eleven identical rectangles whose longer sides are 21 cm long. The perimeter of the larger rectangle in cm is

**Options:**

A. 150

B. 126

C. 108

D. 96

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 10:**

The sum of the odd numbers from 1 to 2019 both inclusive, is divisible by

**Options:**

A. Only 100

B. Only 101

C. Both 100 and 101

D. Neither by 100 nor by 101

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 11:**

The circumference of a circle is numerically greater than the area of the circle. Then the maximum length of the radius cannot be greater than

**Options:**

A. 2

B. 7/4

C. 9/5

D. 11/6

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 12:**

A calendar for 2019 is made using 4 sheets, each sheet having 3 months. The total number of days shown in each of the four sheets (1st, 2nd, 3rd, 4th) respectively is

**Options:**

A. (90, 91, 92, 92)

B. (90, 92, 91, 92)

C. (90, 92, 91, 92)

D. (90, 92, 92, 91)

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 13:**

Triples of odd numbers (a, b, c) with a < b < c, with a, b, c from 1 to 10 are generated such that a + b + c is a prime number. The number of such triples is

**Options:**

A. 5

B. 6

C. 7

D. 3

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 14:**

A number leaves a remainder 2 when divided by 6. Then the possible remainder(s) when the same number if divided by 9 is

**Options:**

A. {1, 4, 7}

B. {2, 5, 8}

C. {5, 8}

D. {2, 5}

**Solution:**

**NMTC 2019 Question Papers With Solutions Primary**** Level Ques No 15:**

A box of dimension 40 x 35 x 28 units is used to keep smaller cuboidal boxes so that no space is left between the boxes. If the box is packed with 100 such smaller boxes of the same size, then the dimension of the smaller box is

**Options:**

A. 7 x 8 x 7

B. 8 x 7 x 7

C. 7 x 7 x 8

D. 20 x 7 x 7

**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 2019 Question Paper With Solutions Primary**** Level Ques No 16**

The number of two digits numbers which are divisible by the sum of their digits is ______.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 17**

Given below is the triangular form of AMTI.

The number of ways you can spell AMTI, top to bottom, right to left or left to right or a combination of these is ______.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 18**

The number of odd prime numbers less than 100 which can be written as the sum of two squares is _______.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 19**

If 4921 x D = ABBBD, then B is _____.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 20**

36 children took a math talent test. For a contestant Anu the number of students who scored above her was 1.5 times the number who scored below her. Her rank when the scores are put in decreasing order is _____.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 21**

Small rectangular sheets of length 2/3 units and breadth 3/5 units are available. These sheets are assembled and pasted in a big cardboard sheet, edge to edge and made into a square. The minimum of such sheets required is ______.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 22**

Ramanujan’s number is 1729. The number of composite divisors of 1729 less than 1729 is _____.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 23**

N is a 100000 digit number with no zero digit and the sum of the digits of N is 100001, then the number of such N’s is _______.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 24**

Peter 8 years old asked his mother how old she was. She said, ”when you are as old as I am now, I will be 54 years old”. Peter’s mother’s current age is ______.

**Solution:**

**NMTC 2019 Question Paper With Solutions Primary**** Level Ques No 25**

A string of beads has recurring pattern as follows 5 blue, 4 black, 4 white, 5 blue, 4 black, 4 white….and so on. The colour of the 321^{st} bead is _______.

**Solution:**