1)In how many ways can the letters of the word 'ACUMEN' be rearranged such that the vowels always appear together?
a) 216
b) 720
c) 116
d) 144
Answer:d) 144
Explanation:
2) How many number of three digit numbers can be formed using the digits 2, 3, 4, 5 in which no repetition of digits are possible?
a) 24
b) 72
c) 36
d) 144
Answer:a) 24
Explanation:
3) A credit card number has 5 digits (between 1 to 9) The first two digits are 12 in that order, the third digit is bigger than 6, and the fourth digit is 3 times the 5th digit. How many different credit card combinations are possible?
a) 6
b) 9
c) 10
d) 27
Answer:b) 9
Explanation:
4) In how many different ways can the letters of the word 'LEADING' be arranged in such a way
that the vowels always come together?
a) 360
b) 480
c) 720
d) 5040
Answer:c) 720
Explanation:
5)How many ways can Jason sit with his five friends in a row of six seats, if Jason insists on sitting one of the corner of the row?
a) 120
b) 360
c) 720
d) 240
Answer:d) 240
Explanation:
6) In how many ways can the letters of the word 'ERGONOMICS' be rearranged such that the vowels always appear together?
a) 7 ! / 6 !
b) 6 ! / 2!
c)7! x 4 !
d) (7 ! x 4 !) / 2 !
Answer:d) (7 ! x 4 !) / 2 !
Explanation:
7)How many different seven letter words can be formed (the words need not be meaningful) using the letters of the word PACIFIC such that the first letter is P and the last letter is F?
a) 30
b) 60
c) 120
d) 24
Answer:a) 30
Explanation:
8)A number lock consists of 3 rings each marked with 10 different numbers. How many combinations are possible such that the 0 is not the first number?
a) 1000
b) 728
c) 999
d) 900
Answer:d) 900
Explanation:
9) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
a) 5
b) 10
c) 15
d) 20
Answer:d) 20
Explanation:
10) How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same?
