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Expected Ques

Basic Mathematics


6 – 8 Questions

Applied Mathematics


8 – 10 Questions

Engineering Mathematics


8 – 10 Questions

Question 1
How many groups of 6 persons can be formed from 8 men and 7 women?
A. 5000
B. 5005
C. 5050
D. None of these
Correct Op:B
Total no . of person = 8 + 7 = 15 No. of groups = 15C6 = 15! / {6! (15 – 6)!} = 15! / (6! 9!) = (15 x 14 x 13 x 12 x 11 x 10) / (6 x 5 x 4 x 3 x 2 x 1) = 5005
Question 2
8 men entered a lounge simultaneously. If each person shook hands with the other, then find the total no. of handshakes?
A. 16
B. 36
C. 56
D. 28
Correct Op:D
Required no. of hand shakes = {8 x (8 – 1)}/2 = 28
Question 3
Find the value of 5 P2.
A. 15
B. 18
C. 20
D. 122
Correct Op: C
5 P2 = 5! / (5 – 2)! = 5 x 4 = 20
Question 4
In how many different ways, can the letters of the word ‘INHALE’ be arranged?
A. 720
B. 360
C. 120
D. 650
Correct Op:A
The word ‘INHALE’ has 6 distinct letters. ∴ Number of arrangements = n ! = 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Question 5
In how many ways, the letters of the word ‘BANKING’ can be arranged?
A. 5040
B. 2540
C. 5080
D. 2520
Correct Op:D
Total letters = 7, but N has come twice. So, required number of arrangements = 7 ! / 2 ! = [7 x 6 x 5 x 4 x 3 x 2 ! ] / 2 ! = 2520
Question 6
In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible?
A. 72
B. 144
C.288
D. 234
Correct Op:B
Total number of handshakes = 12 x 12 = 144
Question 7
How many can straight lines be drawn from 15 noncollinear points?
A. 105
B. 120
C. 110
D. 115
E. 118
Correct Op:A
Question 8
If 56 Pr + 6 : 54 Pr + 3 = 30800 : 1 then the value of r is ?
A. 40
B. 41
C. 42
D. none
Correct Op: B
⇒ 56! / (50 – r)! = (30800 x 54!) / (51r!) ⇒ 56 x 55 = 30800/(51 – r) ⇒ 51 – r = 10 ∴ r = 41
Question 9
There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed?
A. 2200
B. 2300
C. 2400
D. 3200
Correct Op: B
(25 x 24 x 23) / (1 x 2 x 3) = 2300