IMU-CET MATHEMATICS SAMPLE QUESTIONS VOL.03 FULL STUDY GUIDE 100% VERIFIED!!

IMU-CET
MATHEMATICS SAMPLE QUESTIONS – VOL.03


1. Given L = {1, 2, 3, 4}, M = {3, 4, 5, 6} and N = {1, 3, 5} then L – (M  N)
equals
a. (L – M) ∩ (M – N)
b. (L – N) ∩ (M – N)
c. (L – M) ∪ (L – N)
d. (L – M) ∩ (L – N)
2. If A and B are two sets, then A  (A  B) equals
a. B
b. Empty set
c. None
d. A
3. If A and B are any two sets, then A – B is equal to
a. A ∪ B’
b. A
c. A  B
d. A  B’

𝑐+𝑖
4. If a + ib = , where c is real then value of a2 + b2
𝑐−𝑖


a. 1
b. 2
c. 3
d. 4



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, IMU-CET
MATHEMATICS SAMPLE QUESTIONS – VOL.03



𝑥 𝑦
5. If (x + iy)1/3 = a + ib, x, y, a b ∈ R.then value of +
𝑎 𝑏


a. 4(a2- b2)
b. 4(a2+b2)
c. 4(-a2- b2)
d. 4(a2/ b2)

1
6. The conjugate of .
3+4𝑖


a. 3+15i/5
b. 3+4i/5
c. -3+4i/5
d. none

1 0  0 1  cos  sin  
7. If I  0 1 , J   1 0 and B    , then B equals
     sin  cos 

(a) I cos  J sin

(b) I sin   J cos 


(c) I cos   j sin 

(d) I cos   J sin 




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