JEE Advanced Mix Test 25

Result

JEE Advanced Mix Test 25

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

If |x|, |x – 1|, |x + 1| are first three terms of an A.P., then sum of its first 10 terms is equal to

A
20

B
25

C
30

D
15

Solution
Question 2
4 / -1

A

B

C

D
None of these

Solution
Question 3
4 / -1

If (1 + x + x²)ⁿ = a₀ + a₁x + a₂x²+ ..... + a_2nx²ⁿ, then a₀ + a₃ + a₆ + ....... is equal to

A
3ⁿ– 1

B
2^{n – 1}

C
3ⁿ

D
3^{n – 1}

Solution
Question 4
4 / -1

A bell rings at an interval of every 2 minutes, second bell rings at every 5 minutes, 3rd bell rings at every 6 minutes and 4th ring in every 8 minutes. In a span of 8 hours, how many times all 4 bells be ringing simultaneously

A
60

B
32

C
16

D
4

Solution
Question 5
4 / -1

The value of the expression

the cube root of unity)

A

B

C

D
None of these

Solution
Question 6
4 / -1

If α₀ , α₁ , α₂ ....α_n-1 be the n, nth roots of the unity, then the value of is equal to

A

B

C

D

Solution
Question 7
4 / -1

If both roots of the equation x² – 2ax + a²– 1 = 0 lie between – 3 and 4 and [a] denotes then intergral part of a, then [a] can be

A
0

B
-1

C
1

D
4

Solution
Question 8
4 / -1

If 0 < a < b < c and the roots α, β of the equation ax² + bx + c = 0 are imaginary, then -

A
|α| = |β|

B
|α| > |β|

C
|β|<|α|

D
None of these

Solution
Question 9
4 / -1

If |z₁ + z₂|²= |z₁|² + |z₂|² , then

A

B

C

D

Solution
Question 10
4 / -1

If (1 + x)ⁿ= C₀ + C₁x + .... + Cnxn , where n is a positive integer, then

A

B

C

D
All are correct

Solution