Quiz about CUET Level - I JEE Mock test - 6 ( Maths)

Question 1

The value of $$\left(21_{c_1}-10_{c_1}\right)+\left(21_{c_2}-10_{c_2}\right)+\left(21_{c_3}-10_{c_3}\right)+$$

$$+\left(21_{c_4}-10_{c_4}\right)+..+\left(21_{c_{10}}-10_{c_{10}}\right)is$$

Accepted Answer

$$2^{20}-2^{10}$$

Answer

$$2^{21}-2^{11}$$

Answer

$$2^{21}-2^{10}$$

Answer

$$2^{20}-2^9$$

Question 2

If $$\left(2021\right)^{3762}$$ is divided by 17, then the remainder is

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 3

The number of terms in the expansion of

$$\left(1+x\right)^{100}\left(1+x^2-x\right)^{100}$$ in power of x is

Accepted Answer

202

Answer

302

Answer

301

Answer

101

Question 4

The remainder when $$\left(2021\right)^{2023}$$ is divided by

7 is

Accepted Answer

5

Answer

1

Answer

2

Answer

6

Question 5

How many terms ae present in the expansion of

$$\left(x^2+\frac{2}{x^2}\right)^{11}$$ ?

Accepted Answer

12

Answer

11

Answer

10

Answer

11

Question 6

The last digit in $$7^{300}is$$

Accepted Answer

1

Answer

7

Answer

9

Answer

3

Question 7

The approximation of $$\left(0.99\right)^5$$ using the first three terms of

expansion is

Accepted Answer

0.951

Answer

0.851

Answer

0.751

Answer

none of these

Question 8

The total number of terms in the expansion of

$$\left(x+a\right)^{51}-\left(x-a\right)^{51}$$ after simplification is

Accepted Answer

26

Answer

102

Answer

25

Answer

none of these

Question 9

If 'n' is positive integer and three consecutive coefficient in the

expansion of $$\left(1+x\right)^n$$ are in the ratio 6:33:110,

then n is equal to :

Accepted Answer

12

Answer

9

Answer

6

Answer

16

Question 10

compute $$\left(98\right)^5$$

Accepted Answer

9039207968

Answer

12345667

Answer

128976534

Answer

87906532

Question 11

If $$a_1=1\ and\ a_n=\frac{a_{n..1}}{n+1}\ for\ n\ge2,\ then\ what\ will$$

be its 4th term

Accepted Answer

$$\frac{1}{60}$$

Answer

$$\frac{1}{12}$$

Answer

$$\frac{1}{36}$$

Answer

$$\frac{1}{72}$$

Question 12

A sequence containing number of terms that never ends is

called

Accepted Answer

infinite sequence

Answer

finite sequence

Answer

laurent's sequence

Answer

Taylor's sequence

Question 13

The fourth , seventh and tenth terms of a G.P are p,q,r

respectively, then

Accepted Answer

$$q^2=pr$$

Answer

$$p^2=q^2+r^2$$

Answer

$$p^2=qr$$

Answer

$$pqr+pq+1=0$$

Question 14

If 1, a and p are in A.P. and 1, g and p are in G.P , then

Accepted Answer

$$1-2a+g^2=0$$

Answer

$$1+2a+g^2=0$$

Answer

$$1+2a-g^2=0$$

Answer

$$1-2a-g^2=0$$

Question 15

The product of first nine terms of a GP is, in general, equal

to which one of the following ?

Accepted Answer

The 9th power of the 5th term

Answer

The 9th power of the 4th term

Answer

The 4th power of the 9th term

Answer

The 5th power of 9th term

Question 16

A sequence 5,10,15,,,,,,is known as

Accepted Answer

infinite set

Answer

finite set

Answer

rigid set

Answer

flexible set

Question 17

consider the sequence of numbers 121, 12321, 1234321,...... each term

in the sequence is

Accepted Answer

square of an odd number

Answer

a prime number

Answer

divisible by 11

Answer

form a G.P

Question 18

sum of n terms of G.P

Accepted Answer

$$s_n=a\left(\frac{r^n-1}{r-1}\right)$$

Answer

$$s_n=a\left(1-\frac{r}{2}\right)$$

Answer

$$s_n=a\left(r-\frac{3}{4}\right)$$

Answer

$$s_n=a\left(\frac{1}{4}-3\right)$$

Question 19

G.P is term

Accepted Answer

$$a,ar,ar^2...$$

Answer

$$ar^2,ar^2,,,,$$

Answer

$$a,ar^3,,,$$

Answer

none of these

Question 20

Relation between A.M and G.M

Accepted Answer

$$\frac{\left(\sqrt[]{a}-\sqrt[]{b}\right)^2}{2}$$

Answer

$$\frac{a-b}{2}$$

Answer

$$\frac{\left(a-b\right)^2}{2}$$

Answer

none of these

CUET Level - I JEE Mock test - 6 ( Maths)

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