MGNF - 51

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

• 4302

• 7200

• 4320

• 4430

• None of these

A committee of 6 teachers is to be formed out of 4 science teachers, 5 arts teachers and 3 commerce teachers In how many different ways can the committee be formed if no teacher from the commerce stream is to be included ?

• 81

• 62

• 46

• 82

• None of these

In how many different ways can the numbers ‘256974’ be arranged. using each digit only once in each arrangement. such that the digit 6 and 5 are at the extreme ends in each arrangement?

• 48

• 720

• 36

• 360

• None of these

How many 3 digit numbers can be formed from the digit 1, 2, 3, 5, 7 which are divisible by 5 and none of the digits is repeated?

• A.3

• B.6

• C.9

• D.15

• E. None of these

How many words of 4 consonants and 4 vowels can be formed, out of 8 consonants and 5 vowels?

• A.240 * 5!

• B.350 * 8!

• C.240 * 8!

• D.350 * 5!

• E. None of these

A bundle of five pencils is to be formed from a bundle A of 5 different pencils and another bundle B of 4 different Pencils, taking at least one pencil from each bundle. In how many ways bundle can be formed where number of pencils from Bundle A should be less than Bundle B?

• A.95

• B.85

• C.75

• D.35

• E. None of these

In how many different ways a pack of cards can be arranged such that first four cards are king, last four cards are queen, aces are exactly at the middle and rest of the cards are arranged in such a way that a black card always follow a red card?

• A.(4!)3 x (20!)2

• B.12! X 40!

• C.(4!)3 x 40!

• D.52!

• E. None of these

There are 7 periods in each working day of a college. In how many ways can one organize 6 subjects such that each subject is allowed at least one period?

• A.33200

• B.15120

• C.10800

• D.43600

• E. None of these

The bank manager forms a secret 2 – digit code from the numbers 0 -9. But he set code as the first digit will not be 0 and the second number will not be even number. Then what are the possible ways to set the code?

• 54

• 55

• 64

• 45

• 50

When 3 fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

• 78

• 87

• 68

• 69

• None of these