# NCERT Class 11/MCQ Questions for Class 11 Maths sets 2 Sample Test,Sample questions

## Question: `(1 â€“ w + wÂ²)Ã—(1 â€“ wÂ² + w4)Ã—(1 â€“ w4 + w8) Ã— â€¦â€¦â€¦â€¦â€¦ to 2n factors is equal to`

1. 2n

2.22n

3.23n

4.24n

Posted Date:-2021-12-25 13:30:50

## Question: `(1.1)10000 is _____ 1000`

1.greater than

2. less than

3. equal to

4.None of these

Posted Date:-2021-12-25 14:15:35

## Question: `6 men and 4 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is`

1.604800

2.17280

3.120960

4.518400

Posted Date:-2021-12-25 13:58:00

## Question: `A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is`

1.40

2.196

3.280

4.346

Posted Date:-2021-12-25 14:01:55

## Question: `Find real Î¸ such that (3 + 2i Ã— sin Î¸)/(1 â€“ 2i Ã— sin Î¸) is imaginary`

1. Î¸ = nÏ€ Â± Ï€/2 where n is an integer

2. Î¸ = nÏ€ Â± Ï€/3 where n is an integer

3.Î¸ = nÏ€ Â± Ï€/4 where n is an integer

4.None of these

Posted Date:-2021-12-25 13:26:44

## Question: ```Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is ```

1.1296

2.671

3.625

4.585

Posted Date:-2021-12-25 13:52:00

## Question: ```Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is ```

1.1296

2.671

3.625

4.585

Posted Date:-2021-12-25 13:53:02

## Question: `How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed`

1. 720

2.420

3.5040

4.None of these

Posted Date:-2021-12-25 14:05:20

## Question: `How many factors are 25 Ã— 36 Ã— 52 are perfect squares`

1.24

2.12

3.16

4.22

Posted Date:-2021-12-25 14:01:16

## Question: `How many ways are here to arrange the letters in the word GARDEN with the vowels in alphabetical order?`

1.120

2.240

3.360

4.480

Posted Date:-2021-12-25 14:00:42

## Question: `If (x + 3)/(x â€“ 2) > 1/2 then x lies in the interval`

1.(-8, âˆž)

2. (8, âˆž)

3.(âˆž, -8)

4. (âˆž, 8)

Posted Date:-2021-12-25 13:35:22

## Question: `If (|x| â€“ 1)/(|x| â€“ 2) â€Žâ‰¥ 0, x âˆˆ R, x â€ŽÂ± 2 then the interval of x is`

1.(-âˆž, -2) âˆª [-1, 1]

2.[-1, 1] âˆª (2, âˆž)

3.(-âˆž, -2) âˆª (2, âˆž)

4.(-âˆž, -2) âˆª [-1, 1] âˆª (2, âˆž)

Posted Date:-2021-12-25 13:42:03

## Question: `If -2 < 2x â€“ 1 < 2 then the value of x lies in the interval`

1. (1/2, 3/2)

2.(-1/2, 3/2)

3.(3/2, 1/2)

4.(3/2, -1/2)

Posted Date:-2021-12-25 13:37:32

## Question: `If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then`

1.a, b, c are in AP

2. aÂ², bÂ², cÂ² are in AP

3.1/1, 1/b, 1/c are in AP

4.None of these

Posted Date:-2021-12-25 15:26:55

## Question: ```If a, b, c are in AP then ```

1.b = a + c

2.2b = a + c

3.bÂ² = a + c

4.2bÂ² = a + c

Posted Date:-2021-12-25 15:23:42

## Question: ```If a, b, c are in AP then ```

1.b = a + c

2.2b = a + c

3.bÂ² = a + c

4.2bÂ² = a + c

Posted Date:-2021-12-25 15:24:17

## Question: `If a, b, c are in G.P., then the equations axÂ² + 2bx + c = 0 and dxÂ² + 2ex + f = 0 have a common root if d/a, e/b, f/c are in`

1.AP

2.GP

3.HP

4.None of these

Posted Date:-2021-12-25 14:33:06

## Question: ```If arg (z) < 0, then arg (-z) â€“ arg (z) = ```

1.Ï€

2.-Ï€

3.-Ï€/2

4. Ï€/2

Posted Date:-2021-12-25 13:27:54

## Question: `If Ï‰ is an imaginary cube root of unity, then (1 + Ï‰ â€“ Ï‰Â²)7 equalsx`

1.128 Ï‰

2. -128 Ï‰

3.128 Ï‰Â²

4. -128 Ï‰Â²

Posted Date:-2021-12-25 13:20:43

## Question: `If Î± and Î² are the roots of the equation xÂ² â€“ x + 1 = 0 then the value of Î±2009 + Î²2009 is`

1.0

2.1

3.-1

4.10

Posted Date:-2021-12-25 14:21:46

## Question: `if n is a positive ineger then 23nn â€“ 7n â€“ 1 is divisible by`

1. 7

2.9

3.49

4.81

Posted Date:-2021-12-25 14:28:23

## Question: `if n is a positive ineger then 23nn â€“ 7n â€“ 1 is divisible by`

1. 7

2.9

3.49

4.81

Posted Date:-2021-12-25 14:28:23

## Question: `If n is a positive integer, then (âˆš3+1)2n+1 + (âˆš3âˆ’1)2n+1 is`

1.an even positive integer

2.a rational number

3.an odd positive integer

4.an irrational number

Posted Date:-2021-12-25 14:17:28

## Question: `If n is a positive integer, then (âˆš5+1)2n + 1 âˆ’ (âˆš5âˆ’1)2n + 1 is`

1. an odd positive integer

2.not an integer

3.an even positive integer

4.none of these

Posted Date:-2021-12-25 14:23:56

## Question: `If repetition of the digits is allowed, then the number of even natural numbers having three digits is`

1. 250

2.350

3.450

4.550

Posted Date:-2021-12-25 13:53:51

## Question: `If the cube roots of unity are 1, Ï‰, Ï‰Â², then the roots of the equation (x â€“ 1)Â³ + 8 = 0 are`

1. -1, -1 + 2Ï‰, â€“ 1 â€“ 2Ï‰Â²

2. â€“ 1, -1, â€“ 1

3.â€“ 1, 1 â€“ 2Ï‰, 1 â€“ 2Ï‰Â²

4.â€“ 1, 1 + 2Ï‰, 1 + 2Ï‰Â²

Posted Date:-2021-12-25 13:30:00

## Question: ```If the third term in the binomial expansion of (1 + x)m is (-1/8)xÂ² then the rational value of m is ```

1.2

2.1/2

3.3

4.4

Posted Date:-2021-12-25 14:18:08

## Question: `if x + 1/x = 1 find the value of x2000 + 1/x2000 is`

1. 0

2.1

3. -1

4.None of these

Posted Date:-2021-12-25 13:28:37

## Question: `if xÂ² = -4 then the value of x is`

1.(-2, 2)

2. (-2, âˆž)

3.(2, âˆž)

4.No solution

Posted Date:-2021-12-25 13:33:48

## Question: `If xÂ² = 4 then the value of x is`

1. -2

2.2

3.-2, 2

4.None of these

Posted Date:-2021-12-25 13:47:03

## Question: `If {(1 + i)/(1 â€“ i)}n = 1 then the least value of n is`

1.1

2.2

3.3

4.4

Posted Date:-2021-12-25 13:27:15

## Question: `If | x âˆ’ 1| > 5, then`

1. xâˆˆ(âˆ’âˆž, âˆ’4)âˆª(6, âˆž]

2.xâˆˆ[6, âˆž)

3.xâˆˆ(6, âˆž)

4.xâˆˆ(âˆ’âˆž, âˆ’4)âˆª(6, âˆž)

Posted Date:-2021-12-25 13:38:56

## Question: `If |x| < 5 then the value of x lies in the interval`

1.(-âˆž, -5)

2. (âˆž, 5)

3. (-5, âˆž)

4. (-5, 5)

Posted Date:-2021-12-25 13:45:27

## Question: `In how many ways can 4 different balls be distributed among 5 different boxes when any box can have any number of balls?`

1.54 â€“ 1

2.54

3.45 â€“ 1

4.45

Posted Date:-2021-12-25 13:55:57

## Question: `In how many ways in which 8 students can be sated in a line is`

1. 40230

2.40320

3.5040

4.50400

Posted Date:-2021-12-25 14:03:55

## Question: `In the binomial expansion of (71/2 + 51/3)37, the number of integers are`

1.2

2.4

3.6

4.8

Posted Date:-2021-12-25 14:29:19

## Question: `In the binomial expansion of (a + b)n, the coefficient of fourth and thirteenth terms are equal to each other, then the value of n is`

1.10

2.15

3.20

4.25

Posted Date:-2021-12-25 14:32:11

## Question: ```In the expansion of (a + b)n, if n is even then the middle term is ```

1. (n/2 + 1)th term

2.(n/2)th term

3.nth term

4.(n/2 â€“ 1)th term

Posted Date:-2021-12-25 14:24:51

## Question: `In the expansion of (a + b)n, if n is odd then the number of middle term is/are`

1. 0

2.1

3.2

4.More than 2

Posted Date:-2021-12-25 14:27:22

## Question: `Let Tn denote the number of triangles which can be formed using the vertices of a regular polygon on n sides. If Tn+1 â€“ Tn = 21, then n equals`

1.5

2.7

3.6

4.4

Posted Date:-2021-12-25 14:00:02

## Question: `Let z be a complex number such that |z| = 4 and arg(z) = 5Ï€/6, then z =`

1. -2âˆš3 + 2i

2.2âˆš3 + 2i

3.2âˆš3 â€“ 2i

4.-âˆš3 + i

Posted Date:-2021-12-25 13:22:06

## Question: `Let z1 and z2 be two roots of the equation zÂ² + az + b = 0, z being complex. Further assume that the origin, z1 and z1 form an equilateral triangle. Then`

1.aÂ² = b

2.aÂ² = 2b

3.aÂ² = 3b

4. aÂ² = 4b

Posted Date:-2021-12-25 13:23:35

## Question: `Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are to be distributed among 2 persons. Then the total number of ways of distribution is`

1.1800

2.1080

3.1008

4.8001

Posted Date:-2021-12-25 13:57:26

## Question: `Solve: (x + 1)Â² + (xÂ² + 3x + 2)Â² = 0`

1. x = -1, -2

2.x = -1

3. x = -2

4.None of these

Posted Date:-2021-12-25 13:34:31

## Question: `Solve: 1 â‰¤ |x â€“ 1| â‰¤ 3`

1.[-2, 0]

2.[2, 4]

3.[-2, 0] âˆª [2, 4]

4.None of these

Posted Date:-2021-12-25 13:48:26

## Question: `Solve: f(x) = {(x â€“ 1)Ã—(2 â€“ x)}/(x â€“ 3) â‰¥ 0`

1. (-âˆž, 1] âˆª (2, âˆž)

2. (-âˆž, 1] âˆª (2, 3)

3.(-âˆž, 1] âˆª (3, âˆž)

4.None of these

Posted Date:-2021-12-25 13:46:22

## Question: `Solve: |x â€“ 3| < 5`

1.(2, 8)

2.(-2, 8)

3.(8, 2)

4.(8, -2)

Posted Date:-2021-12-25 13:43:55

## Question: `Sum of two rational numbers is ______ number`

1.rational

2.irrational

3.Integer

4.Both 1, 2 and 3

Posted Date:-2021-12-25 13:32:59

## Question: `The coefficient of xn in the expansion (1 + x + xÂ² + â€¦..)-n is`

1. 1

2.(-1)n

3.n

4.n+1

Posted Date:-2021-12-25 14:23:04

## Question: ```The coefficient of xn in the expansion of (1 â€“ 2x + 3xÂ² â€“ 4xÂ³ + â€¦â€¦..)-n is ```

1.(2n)!/n!

2.(2n)!/(n!)Â²

3.(2n)!/{2Ã—(n!)Â²}

4.None of these

Posted Date:-2021-12-25 14:20:07

## Question: `The coefficient of y in the expansion of (yÂ² + c/y)5 is`

1. 10c

2.10cÂ²

3.10cÂ³

4.None of these

Posted Date:-2021-12-25 14:14:39

## Question: `The coefficient of y in the expansion of (yÂ² + c/y)5 is`

1. 10c

2.10cÂ²

3.10cÂ³

4.None of these

Posted Date:-2021-12-25 14:15:04

## Question: `The complex numbers sin x + i cos 2x are conjugate to each other for`

1. x = nÏ€

2. x = 0

3. x = (n + 1/2) Ï€

4.no value of x

Posted Date:-2021-12-25 13:24:25

## Question: `The curve represented by Im(zÂ²) = k, where k is a non-zero real number, is`

1.a pair of striaght line

2.an ellipse

3. a parabola

4.a hyperbola

Posted Date:-2021-12-25 13:25:14

## Question: `The curve represented by Im(zÂ²) = k, where k is a non-zero real number, is`

1.a pair of striaght line

2.an ellipse

3. a parabola

4.a hyperbola

Posted Date:-2021-12-25 13:25:14

## Question: `The fourth term in the expansion (x â€“ 2y)12 is`

1.-1670 x9 Ã— yÂ³

2. -7160 x9 Ã— yÂ³

3.-1760 x9 Ã— yÂ³

4. -1607 x9 Ã— yÂ³

Posted Date:-2021-12-25 14:16:39

## Question: `The general term of the expansion (a + b)n is`

1. Tr+1 = nCr Ã— ar Ã— br

2.Tr+1 = nCr Ã— ar Ã— bn-r

3.Tr+1 = nCr Ã— an-r Ã— bn-r

4.Tr+1 = nCr Ã— an-r Ã— br

Posted Date:-2021-12-25 14:22:25

## Question: `The graph of the inequations x â‰¥ 0, y â‰¥ 0, 3x + 4y â‰¤ 12 is`

1.interior of a triangle including the points on the sides

3.exterior of a triangle

4.None of these

Posted Date:-2021-12-25 13:44:36

## Question: `The greatest coefficient in the expansion of (1 + x)10 is`

1.10!/(5!)

2.10!/(5!)Â²

3.10!/(5! Ã— 4!)Â²

4.10!/(5! Ã— 4!)

Posted Date:-2021-12-25 14:19:17

## Question: `The interval in which f(x) = (x â€“ 1) Ã— (x â€“ 2) Ã— (x â€“ 3) is negative is`

1.x > 2

2.2 < x and x < 1

3.2 < x < 1 and x < 3

4.2 < x < 3 and x < 1

Posted Date:-2021-12-25 13:36:51

## Question: `The least value of n for which {(1 + i)/(1 â€“ i)}n is real, is`

1.1

2.2

3.3

4.4

Posted Date:-2021-12-25 13:21:20

## Question: `The modulus of 5 + 4i is`

1. 41

2.-41

3. âˆš41

4.-âˆš41

Posted Date:-2021-12-25 13:32:03

## Question: `The number of combination of n distinct objects taken r at a time be x is given by`

1.n/2Cr

2.n/2Cr/2

3.nCr/2

4.nCr

Posted Date:-2021-12-25 13:50:13

## Question: `The number of ordered triplets of positive integers which are solution of the equation x + y + z = 100 is`

1.4815

2.4851

3.8451

4.8415

Posted Date:-2021-12-25 14:30:47

## Question: `The number of squares that can be formed on a chess board is`

1.64

2.160

3.224

4.204

Posted Date:-2021-12-25 14:04:30

## Question: `The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is`

1.152100

2.1512

3.15120

4.151200

Posted Date:-2021-12-25 13:58:48

## Question: `The number of ways in which 8 distinct toys can be distributed among 5 children is`

1.58

2.85

3.8P5

4.5P5

Posted Date:-2021-12-25 13:54:31

## Question: `The number of ways of painting the faces of a cube with six different colors is`

1.1

2.6

3.6!

4.None of these

Posted Date:-2021-12-25 13:56:36

## Question: ```The region of the XOY-plane represented by the inequalities x â‰¥ 6, y â‰¥ 2, 2x + y â‰¤ 10 is ```

1.unbounded

2. a polygon

3.exterior of a triangle

4.None of these

Posted Date:-2021-12-25 13:36:04

## Question: `The solution of the -12 < (4 -3x)/(-5) < 2 is`

1.56/3 < x < 14/3

2. -56/3 < x < -14/3

3.56/3 < x < -14/3

4.-56/3 < x < 14/3

Posted Date:-2021-12-25 13:42:46

## Question: `The solution of the 15 < 3(x â€“ 2)/5 < 0 is`

1.27 < x < 2

2.27 < x < -2

3.-27 < x < 2

4.-27 < x < -2

Posted Date:-2021-12-25 13:47:45

## Question: `The solution of the inequality |x â€“ 1| < 2 is`

1. (1, âˆž)

2. (-1, 3)

3.(1, -3)

4.(âˆž, 1)

Posted Date:-2021-12-25 13:38:16

## Question: `The solution of |2/(x â€“ 4)| > 1 where x â‰  4 is`

1.(2, 6)

2. (2, 4) âˆª (4, 6)

3. (2, 4) âˆª (4, âˆž)

4.(-âˆž, 4) âˆª (4, 6)

Posted Date:-2021-12-25 13:41:18

## Question: `The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + â€¦â€¦ is`

1. n/(n+1)

2.1/(n+1)

3.1/n

4.None of these

Posted Date:-2021-12-25 15:25:57

## Question: `The value of i-999 is`

1. 1

2.-1

3.i

4.-i

Posted Date:-2021-12-25 13:22:46

## Question: `The value of n in the expansion of (a + b)n if the first three terms of the expansion are 729, 7290 and 30375, respectively is`

1.2

2.4

3.6

4.8

Posted Date:-2021-12-25 14:20:36

## Question: ```The value of P(n, n â€“ 1) is ```

1. n

2. 2n

3.n!

4. 2n!

Posted Date:-2021-12-25 13:55:17

## Question: `The value of x and y if (3y â€“ 2) + i(7 â€“ 2x) = 0`

1.x = 7/2, y = 2/3

2. x = 2/7, y = 2/3

3.x = 7/2, y = 3/2

4. x = 2/7, y = 3/2

Posted Date:-2021-12-25 13:25:58

## Question: `There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is`

1.185

2.210

3.220

4.175

Posted Date:-2021-12-25 13:49:20

## Question: `Three numbers form an increasing GP. If the middle term is doubled, then the new numbers are in Ap. The common ratio of GP is`

1.2 + âˆš3

2.2 â€“ âˆš3

3. 2 Â± âˆš3

4.None of these

Posted Date:-2021-12-25 15:25:04

## More MCQS

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