Repetition

Q.

In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand and all the girls stand together?

1. 24

2. 288

3. 75

4. None of these

5. 576

Q.

In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

1. 6

2. 15

3. 13

4. 12

5. 14

Q. There are 5 letters and 5 directed envelopes. Find the number of ways in which the letters can be put into the envelopes so that all are not put in directed envelopes.

1. None of these
2. 129
3. 119
4. 109
5. 139

Q. In how many different ways can the letters of the word 'JUDGE' be arranged in such a way that the vowels always come together?

1. 48
2. 124
3. 120
4. 160
5. None of these

Q.

The sum of ages of 4 members of a family 5 years ago was 94 years. Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 years. Assuming that, there hasn't been another change in the family structure and all the people are alive, what is the difference between the ages of the daughter and that of the daughter-in-law?

1. 22 years
2. 11 years
3. 25 years
4. 19 years
5. 15 years

Q.

How many numbers lying between $999$and $10000$can be formed with the help of the digits $0,2,3,6,7,8$ when the digits are not repeated?

1. $100$

2. $200$

3. $300$

4. $400$

Q.

Fill in the missing number:
0, 3, 12, 30, ?, 105, 168

1. None of the above
2. 62
3. 60
4. 63
5. 61

Q.

In how many ways can the letters of the word 'VOWEL' be rearranged such that the vowels always appear together?

1. 4!2!

2. 3!2!

3. 4!3!

4. 5!2!

5. 5!4!

Q.

In how many different ways can the letters of the word 'PUNCTUAL' be arranged?

1. None of these
2. 20160
3. 64
4. 40320
5. 960

Q.

How many $5$ digit numbers can be formed from digits $0,1,2,3,4,5$?

Q. Find how many words can be formed out of the letters of the word 'ORIENTAL' so that vowels always occupy the odd places.

1. None of these
2. 576
3. 578
4. 676

Q.

7 different letters of the English alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

1. 14267

2. 15267

3. 14287

4. 15287

5. 13267

Q. In how many different ways, the letters of the word 'RECTITUDE' can be arranged so that vowels come together?

1. None of these
2. 4302
3. 7200
4. 4320
5. 4430

Q. In how many different ways can the letters of the word 'REPLACE' be arranged?

1. 2630
2. 5040
3. 1680
4. 2580
5. None of the above

Q.

The sum of smallest two digit odd number and the smallest two digit even number is _______ .

Q.

If nine coins are tossed simultaneously, in how many of the outcomes will the fifth coin show heads?

1. 2⁸

2. 2⁷

3. 2⁹

4. 2⁵

5. None of these

Q.

In how many different ways can the letters of the word 'DRASTIC' be arranged in such a way that the vowels always come together?

1. 720
2. 360
3. 1440
4. 540
5. None of these

Q. In how many different ways can the letters of the word 'ATTEND' be arranged?

1. 60
2. 120
3. 240
4. 80
5. None of these

Q. In how many different ways can the letters of the word 'CYCLE' be arranged?

1. 240
2. 30
3. 80
4. None of these
5. 120

Q.

A three-digit number $n$ is such that the last two digits of it are equal and differ from the first. The number of such $ns$ is

1. $64$

2. $72$

3. $81$

4. $900$

Q.

At what time, between 3 o'clock and 4 o'clock, will both the needles coincide with each other?

1. 17 past 3

2. 13 past 3

3. 16 past 3

4. 16 past 3

Q.

How many ways can 5 prizes be given away to 4 boys, if each boy is eligible for all the prizes?

1. none

2. 5⁴

3. 120

4. 20

5. 4⁵

Q. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

1. 32
2. 48
3. 36
4. 60
5. 120

Q. How many 7-letter words can be formed using the letters of the word BALLOON ? Ans.

Q. A number lock on a suitcase has $3$ wheels each labelled with $10$ digits from $0$ to $9$. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?

Q.

If nine coins are tossed simultaneously, in how many of the outcomes will the fifth coin show heads?

1. 

2. 

3. 

4. 

Q. How many seven lettered words without repetition can be formed out of the letters of ${}^{\prime }MISTAK{E}^{\prime }$ such that only consonants go into odd places

1. $225$
2. $256$
3. $324$
4. $144$

Q.

A coin is tossed three times. The number of possible outcomes is

1. $3$

2. $4$

3. $6$

4. $8$

Q. Find out the error in the following sentence, if any. If there is no error, your answer is 'E'.
The teacher said, "Years (A) ago, it believed (B) that the earth (C) was flat."(D) No Error.(E)

1. A
2. B
3. C
4. D
5. E

Q. Select the part of the sentence that has an error. If the sentence is correct, select No Error:
(a) Little he realized (b) that he wouldn't live (c) to see his grandson married.

1. (a)
2. (b)
3. (c)
4. No error