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Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 1

Mathematics: CUET Mock Test - 1 - Question 2

Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if ________

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 2

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Mathematics: CUET Mock Test - 1 - Question 3

tan^{−1}√3+sec^{−1}2–cos−^{1}1 is equal to ________

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 3

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Mathematics: CUET Mock Test - 1 - Question 5

Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 5

Mathematics: CUET Mock Test - 1 - Question 6

If f : R→R, g(x) = 3 x 2 + 7 and f(x) = √x, then gοf(x) is equal to _______

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 6

Mathematics: CUET Mock Test - 1 - Question 7

Let I be a set of all lines in a XY plane and R be a relation in I defined as R = {(I_{1}, I_{2}):I_{1} is parallel to I_{2}}. What is the type of given relation?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 7

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 8

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Mathematics: CUET Mock Test - 1 - Question 11

If f : R → R is given by f(x) = (5 + x^{4})^{1/4}, then fοf(x) is _______

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 11

Mathematics: CUET Mock Test - 1 - Question 12

Let ‘*’ be a binary operation on N defined by a * b =a - b + ab^{2}, then find 4 * 5.

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 12

Mathematics: CUET Mock Test - 1 - Question 13

[-1, 1] is the domain for which of the following inverse trigonometric functions?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 13

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Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 15

Mathematics: CUET Mock Test - 1 - Question 16

Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 16

Mathematics: CUET Mock Test - 1 - Question 17

Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?

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Mathematics: CUET Mock Test - 1 - Question 18

If f: N→N, g: N→N and h: N→R is defined f(x) = 3x - 5, g(y) = 6y2 and h(z) = tanz, find ho(gof).

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 18

Mathematics: CUET Mock Test - 1 - Question 19

Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 19

Mathematics: CUET Mock Test - 1 - Question 20

Let ‘*’ be a binary operation defined by a * b = 4ab. Find (a * b) * a.

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 20

Mathematics: CUET Mock Test - 1 - Question 21

(a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 21

Mathematics: CUET Mock Test - 1 - Question 22

Let ‘*’ be a binary operation defined by a * b = 3a^{b} + 5. Find 8 * 3.

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 22

Mathematics: CUET Mock Test - 1 - Question 23

Which of the following is not a type of binary operation?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 23

Mathematics: CUET Mock Test - 1 - Question 24

Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 24

Mathematics: CUET Mock Test - 1 - Question 25

Which of the following condition is incorrect for matrix multiplication?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 25

Mathematics: CUET Mock Test - 1 - Question 26

Which of the following is not the property of transpose of a matrix?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 26

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Mathematics: CUET Mock Test - 1 - Question 28

Which of the following is the reversal law of transposes?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 28

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Mathematics: CUET Mock Test - 1 - Question 30

Which of the following conditions holds true for a skew-symmetric matrix?

Detailed Solution for Mathematics: CUET Mock Test - 1 - Question 30

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