Subject

Mathematics

Class

TET Class 12

Pre Boards

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Sample Papers

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 Multiple Choice QuestionsMultiple Choice Questions

1.

If x=2, y=1, z=-3, then x3+ y= z3- 3xyz equals

  • 6

  • 2

  • 8

  • 0


D.

0

 Here x+y+z = 2+1-3=0

 x3+y3+z3-3xyz

=(x+y+z)(x2+y2+z2-xy-yz-zx)

=0

 


2.

Find the biggest 4- digit number which is a perfect square.

  • 9999

  • 1899

  • 9000

  • 9801


D.

9801

9801 is the square of 99


3.

When x13+1 is divided by x-l, then what is the remainder?

  • 0

  • 1

  • 2

  • -1


C.

2

Let p(x) = x+1 then, x-1 = O

then by remainder theorem

p(1) =(1)13 + 1

1+1 =2


4.

If A and B are non- empty subsets of a set C, then  A(AB) is equal to 

  • AB

  • AB

  • A

  • B


C.

A

Given, A and B are non-empty subsets of C

AC and BC

Now, A(AB)= A


5.

The population of a village increases by 5% yearly. If at present the population of the village is 4410, then what was the population before two years?

  • 4420

  • 4430

  • 4440

  • 4000


D.

4000

The population before two years = 4410×100105×100105=4000


6.

From a pack of 52 playing cards, a card is drawn at random. What is the probability that the card is a spade or an ace?

  • 413

  • 613

  • 813

  • 25


A.

413

Let A be the event of getting a spade and B be the event of getting an ace then,
P(A)=1352, P(B)=452

and P(AB)=152 (one spade is an ace)

Required probability

P(AB)=P(A)+P(B)-P(AB)

=1352+452-152

=1652

=413


7.

A company makes an advertisement of shares to collect a capital of 25 lakh. If the printed price of one share is 100, then find the number of shares circulated by the company.

  • 20000

  • 25000

  • 30000

  • 15000


B.

25000

Number of shares =2500000100= 25000
 


8.

In the given figure, ABCD is a cyclic quadrilateral. Then, the ordered pair (x,y) is

  • (15o, 25o)

  • (10o, 15o)

  • (15o, 35o)

  • (40°, 35°)


A.

(15o, 25o)

Given, ABCD is a cyclic quadrilateral.

We know that sum of opposite angles of a cyclic quadrilateral is 180.

4x+ 4y+ 20 = 180

4x + 4y=160

x+ y= 40 ... (1)

Also, (7x+5) +(3y-5)= 180°

7x+3y=180 ...(2)

On solving Eqs. (1) and (2), we get,

x = 15° and y= 25°


9.

If a, a + 2, a + 4 are prime numbers, then the number of values of a is

  • One

  • two

  • three

  • more than three


C.

three

Given, a, a+2, a+4 are prime numbers.

1) If a= 2 (prime)

then 2, 4, 6 all are not prime numbers.

2) If a= 3 (prime)

then, 3, 5, 7 all are prime numbers.

3) If a =5

then, 5,7, 9 all are not primer numbers.

4) If a =7

then, 7, 9, 11 all are not prime numbers.


10.

For what value of x, the mode of the following data is 27?

25,26,27,23,27,26,24,x,27,26,25,25
 

  • 27

  • 24

  • 25

  • 26


A.

27

Mode is the most frequent value in a data, here 25,26 and 27 have occurred three times in the data, so in order to be 27 as Mode of the data then x must be 27.