TET Mathematics Question Paper Set 7

TET Mathematics Question Paper for Paper 1 & Paper 2 Examination 2020- 2021. Teacher Eligibility Test 2020 Mathematics Subject Paper on our website.

TET Mathematics Question Paper Set 7

In Paper I, The Test items in Mathematics will focus on the concepts, problem solving abilities and pedagogical understanding of the subjects. In all these subject areas, the test items will be evenly distributed over different divisions of the syllabus of that subject prescribed for classes I – V by the NCERT.

In Paper II, The Test items in Mathematics will focus on the concepts, problem solving abilities and pedagogical understanding of the subjects. The test items will be evenly distributed over different divisions of the syllabus of that subject as prescribed for classes VI – VIII by the NCERT.


TET Mathematics Question Paper Set 7 (Paper I and Paper II)

How many lines can you draw through one point ?

(A) One (B) Two

(C) Many (D) None

Ans. (C)

How many lines can you draw through two points ?

(A) Two (B) Only one

(C) Many (D) None

Ans. (B)

How many lines can you draw through three non–collinear points ?

(A) Exactly one (B) None

(C) Three only (D) Two only

Ans. (B)

How many degrees are there in three right angles ?

(A) 90 (B) 180

(C) 270 (D) 360

Ans. (C)

How many degrees are there in of a straight angle ?

(A) 50 (B) 72

(C) 180 (D) 900

Ans. (B)

Spot an obtuse angle –

(A) 170 (B) 280

(C) 180 (D) 70

Ans. (A)

How many degrees are in th of a right angle ?

(A) 90 (B) 10

(C) 9 (D) 900

Ans. (C)

Pick out the complementary angle of 45 from the list of given angles –

(A) 90 (B) 75

(C) 135 (D) 45

Ans. (D)

Pick out the acute angle from the following : 130 , 165 , 95 , 75 ―

(A) 130 (B) 165

(C) 95 (D) 75

Ans. (D)

Pick out the supplementary angle of 95 ―

(A) 95 (B) 15

(C) 85 (D) 100

Ans. (C)

Directions – In each of the following questions there are four possible answers out of which one is correct. Find out the correct answers.

What is the unit digit in the following product –

207 × 781 × 39 × 94

(A) 9 (B) 7

(C) 1 (D) 2

Ans. (D)

When a number is divided by 269, the remainder is 75. What will be the remainder if it is divided by 37?

(A) 3 (B) 5

(C) 1 (D) 6

Ans. (C)

What is the sum of all odd numbers between 1 and 32 ?

(A) 256 (B) 128

(C) 25 (D) 16

Ans. (A)

Which one of the following numbers will not be at the unit place when any number is squared ?

(A) 0 (B) 4

(C) 2 (D) 9

Ans. (C)

How many numbers between 1 and 100 are divisible by 11 ?

(A) 99 (B) 8

(C) 11 (D) 9

Ans. (D)

What is the difference between the intrinsic value and local value of 9 in 3901 ?

(A) 900 (B) 9

(C) 891 (D) 40

Ans. (C)

The difference between the greatest and the least numbers of eight digits which begin with 8 and end with 6 is –

(A) 99999999 (B) 10000000

(C) 80000006 (D) 9999990

Ans. (D)

If 2³² + 1 is exactly divisible by 641 , which one of the following is also divisible by 641 ?

(A) 2¹⁸ + 1 (B) 2⁹⁶ + 1

(C) 2¹⁶ + 1 (D) 7.2³³ + 1

Ans. (B)

Which is the greatest one of the following numbers ?

(A) (2 + 2 + 2)² (B) [(2 + 2)² ]²

(C) (2 × 2 × 2)² (D) 4³

Ans. (B)

If x < 0 < y, then which one of the following relations is correct ?

(A) < < (B) ˃ <

(C) < (D) ˃

Ans. (D)

The expression 33.33 ÷ 1.1 simplifies as — –

(A) 33.3 (B) 30.3

(C) 303 (D) 33.0

Ans. (B)

The number nearest to 7671 that is exactly divisible by 38 is –

(A) 7638 (B) 7709

(C) 7714 (D) 7676

Ans. (D)

If two numbers when divided by a certain divisor give remainders 35 and 30 respectively and when their sum is divided by the same divisor, the remainder is 20, then the divisor is — –

(A) 45 (B) 50

(C) 40 (D) 55

Ans. (A)

In order that the number 1 y 3 y 6 is divisible by 11 the digit y should be — –

(A) 1 (B) 5

(C) 2 (D) 6

Ans. (B)

The largest positive integer that divides all integers of the form n³ – n ( where n is any integer ) is — –

(A) 12 (B) 2

(C) 3 (D) 6

Ans. (D)

The sum of any two irrational numbers is — –

(A) A rational or an irrational number

(B) Always an irrational number

(C) Always a rational number

(D) Always an integer

Ans. (A)

How many prime numbers are there between 90 and 100 ?

(A) 9 (B) 2

(C) 1 (D) 0

Ans. (C)

Which one of the following is a prime number ?

(A) 161 (B) 165

(C) 169 (D) 173

Ans. (D)

The biggest even divisor of (2n + 1)² – 1, n being a natural number , is — –

(A) 2 (B) 4

(C) 8 (D) 16

Ans. (C)

The one that is divisible by 15, from the following is — –

(A) 17325 (B) 23751

(C) 29515 (D) 305600

Ans. (A)

The decimal expansion of is ―

(A) 2.3 (B) 2.6

(C) 2.65 (D) 2.5

Ans. (D)

Which one of the following is the correct statement ?

(A) is exactly equal to 3.14

(B) is exactly equal to

(C) is an irrational number

(D) None of the above

Ans. (C)

All the prime factors of 182 are — –

(A) 2 and 7 (B) 2, 7 and 13

(C) 7 and 13 (D) 2 and 13

Ans. (B)

If n is a natural number , then is ―

(A) Always a natural number

(B) Always a rational number

(C) Always an irrational number

(D) Sometimes a natural number and sometimes an irrational number

Ans. (D)

If x, y and z are real numbers such that x < y and z< 0 , then the statement which is true , is ―

(A) xy < yz (B) <

(C) ˃ (D) xz ˃ yz

Ans. (D)

The positive square root of any positive rational number is — –

(A) A real number

(B) A rational number

(C) An irrational number

(D) Not always defined

Ans. (A)

The number 158862 correct to 2 significant figures is — –

(A) 15 (B) 150000

(C) 16 (D) 160000

Ans. (D)

The relation between x and y, if x divides y and y divides x, is — –

(A) x > y (B) x < y

(C) x = y (D) None of these

Ans. (C)

A prime number, greater than 11, will never end with — –

(A) 5 (B) 7

(C) 9 (D) None of these

Ans. (A)

A number is always divisible by 25 only if — –

(A) The last digit of the number is 0

(B) The last digit of the number is 5

(C) The last two digits of the number is divisible by 5

(D) The last two digits of the number is divisible by 25

Ans. (D)

Of the following ―

  1. 1.23131… can be expressed in the form where p and q are integers and q 0.
  2. is a rational number.

iii. There exists a positive rational number x such that < – .

  1. ˃ 1 for all real values of x.

The correct combination is ―

(A) i and ii (B) ii and iii

(C) i and iii (D) iii and iv

Ans. (C)

Of the following statements for natural numbers , ɑ, b and c — –

  1. If ɑ is divisible by b and b is divisible by c, then ɑ must be divisible by c .
  2. If ɑ is a factor of both b and c, then ɑ must be a factor of b + c .

iii. If ɑ is a factor of both b and c , then ɑ must be a factor of b – c .

The true ones are — –

(A) i and ii (B) i, ii and iii

(C) ii and iii (D) i and iii

Ans. (B)

The number of divisors of 120 including unity is — –

(A) 16 (B) 8

(C) 14 (D) 12

Ans. (A)

Which of the following is the correct statement ?

(A) is bigger than

(B) is less than

(C) and are equal

(D) None of the above

Ans. (B)

is equal to ―

(A) 2 – 3 (B) 2 + 3

(C) 12 (D) 2

Ans. (C)

The last digit of (2 × 4ⁿ )² + 1, for any positive integer n is ―

(A) 3 (B) 5

(C) 7 (D) 9

Ans. (B)

Number of primes ≤ 30 is — –

(A) 15 (B) 12

(C) 10 (D) 8

Ans. (C)

The difference between two numbers is 3 . If the greater number is 38 , then the smaller is ―

(A) 33 (B) 34

(C) 34 (D)

Ans. (C)

The number of integers less than or equal to 1200 that are divisible by both 6 and 8 is — –

(A) 25 (B) 50

(C) 150 (D) 200

Ans. (B)

The product of three numbers is 15000000. The product of the first two numbers is 75000 and that of the last two is 50000. The numbers are — –

(A) 150, 500, 100 (B) 150, 500, 200

(C) 300, 250, 200 (D) 300, 250, 100

Ans. (C)

The number that is decomposed in primary factors as 2⁵ × 3⁴ × 5³ × 7² lies between ―

(A) 10⁴ and 10⁵ (B) 10⁶ and 10⁷

(C) 10⁷ and 10⁸ (D) 10⁸ and 10⁹

Ans. (C)

If the number 28**1 is divisible by 33, then the pair of numbers is — –

(A) 7 (B) 16

(C) 61 (D) 70

Ans. (C)

The number of positive integers less than 100 divisible by neither 5 nor 3 is — –

(A) 46 (B) 53

(C) 47 (D) 52

Ans. (B)

Look at the following statements:

  1. If x and y are composite integers, so also is x + y.
  2. If x and y are composite integers and x > y, then x – y is also a composite integer.
  3. If x and y are composite integers, so also is xy .

Now, select the correct answer from the following — –

(A) All the above three statements are correct

(B) All the above three statements are wrong

(C) Only the first two statements are correct

(D) Only the first two statements are wrong

Ans. (D)

Updated: January 13, 2020 — 5:38 am

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