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All The Letters Of The Word Eamcet Are Arranged In All Possible Ways The Number Of Such Arrangements Is

1) 360 2) 114 3) 72 4) 54 Answer: (3) 72 Solution: Given, the word EAMCET Vowels = E,A,E Consonants = M,C T Therefore, consonants can be... View Article

The Number Of Ways In Which Ten Candidates A1 A2 A10 Can Be Ranked Such That A1 Is Always Above A10 Is

1) 5! 2) 2(5!) 3) 10! 4) 10!/2 Answer: (4) 10!/2 Solution: total number of ways to arrange ten candidates = 10! A1 is ranked above A10 in... View Article

All Possible Four Digit Numbers Are Formed Using The Digits 0123 So That No Number Has Repeated Digits

1) 9 2) 18 3) 10 4) None of these Answer: (2) 18 Solution: There are four digits 0,1,2,3 For four digit numbers, first position cannot be... View Article

If A Denotes The Number Of Permutations Of X 2 Things Taken All At A Time B The Number Of Permutations Of X Things Taken 11

1) 15 2) 12 3) 10 4) 18 Answer: (2) 12 Solution: a denotes the number of permutations of x + 2 things taken all at a time, then a = x+2Px+2... View Article

Eleven Books Consisting Of 5 Mathematics 4 Physics And 2 Chemistry Are Placed On A Shelf The Number Of Possible Ways

1) 4! 2! 2) 11! 3) 5! 4! 3! 2! 4) None of these Answer: (3) 5! 4! 3! 2! Solution: There three types of books: Mathematics, Physics, and... View Article

How Many Numbers Can Be Made With The Digits 345678 Lying Between 3000 And 4000 Which Are Divisible By 5

1) 60 2) 12 3) 120 4) 24 Answer: (2) 12 Solution: Given, the digits are 3,4,5,6,7,8 We need to find the numbers between 3000 and 4000 using... View Article

The Number Of 4 Digit Numbers That Can Be Formed From The Digits 01234567 So That Each Number Contains Digit 1 Is

1) 1225 2) 1252 3) 1522 4) 750 Answer: (4) 750 Solution: There are eight digits given to us: 0,1,2,3,4,5,6,7 We want 4-digit numbers that... View Article

In A Circus There Are Ten Cages For Accommodating Ten Animals Out Of These Four Cages Are So Small

1) 66400 2) 86400 3) 96400 4) None of these Answer: (2) 86400 Solution: Number of ways to accommodate 5 animals to big cages = 6P5 Number... View Article

How Many Numbers Lying Between 99 And 1000 Be Made From The Digits 237086 When The Digits Occur Only Once In Each Number

1) 100 2) 90 3) 120 4) 80 Answer: (1) 100 Solution: Between 99 and 1000 there are all three digits numbers We are given with 2,3,7,0,8,6 0... View Article

The Number Of Words That Can Be Formed Out Of The Letters Of The Word Article So That The Vowels Occupy Even Places Is

1) 36 2) 574 3) 144 4) 754 Answer: (3) 144 Solution: Given, the word ARTICLE Here there are three vowels: A, I, E And four consonants: R,... View Article

How Many Words Can Be Formed With The Letters Of The Word Mathematics By Rearranging Them

1) 11!/(2!.2!) 2) 11!/2! 3) 11!/(2!.2!.2!) 4) 11! Answer: (3) 11!/(2!.2!.2!) Solution: Given, the word MATHEMATICS Here, there are 2M’s,... View Article

The Number Of 5 Digit Telephone Numbers Having At Least One Of Their Digits Repeated Is

1) 90,000 2) 1,00,000 3) 30,240 4) 69,760 Answer: (4) 69,760 Solution: Number of 5-digit numbers when all the digits are repeated = 10 x 10... View Article

In How Many Ways 3 Letters Can Be Posted In 4 Letterboxes If All The Letters Are Not Posted In The Same Letter Box

1) 63 2) 60 3) 77 4) 81 Answer: (2) 60 Solution: Given, there are three letters and 4 letter-boxes When 3 letters can take any of the four... View Article

Out Of 13 Applicants For A Job There Are 5 Women And 8 Men It Is Desired To Select 2 Persons For The Job The Probability That At Least One Of The

1) 25/39 2) 14/39 3) 5/13 4) 10/13 Solution: Option (1) 25/39 Total cases = 13C2 Favourable cases = 5C1.8C1 + 5C2 Hence, the... View Article

A Lot Consists Of 12 Good Pencils 6 With Minor Defects And 2 With Major Defects A Pencil Is Chosen At Random The Probability That This Pencil Is

1) 3/5 2) 3/10 3) 4/5 4) 1/2 Solution: Option (1) ? Total number of pencils = 20 Total number of good pencils (not defective) = 12... View Article

A Mapping Is Selected At Random From The Set A 1 2 N Into Itself The Probability That The Mapping Selected Is An Injection Is

1) 1/nn 2) 1/n! 3) (n-1)!/nn-1 4) n!/nn-1 Solution: Option (3) (n-1)!/nn-1 The total number of functions from set A to itself =... View Article

A Cricket Team Has 15 Members Of Whom Only 5 Can Bowl If The Names Of The 15 Members Are Put Into A Hat And 11 Drawn At Random Then

1) 7/13 2) 11/15 3) 12/13 4) None of these Solution: Option (3) 12/13 Total cases = 15C11 Favourable cases = 5C3. 10C8 + 5C4.... View Article

There Are 5 Volumes Of Mathematics Among 25 Books They Are Arranged On A Shelf In Random Order The Probability That The Volumes

1) 1/5! 2) 50!/55! 3) 1/505 4) None of these Solution: Option (1) 1/5! 5 Volumes of Mathematics books among 25 books can be selected... View Article

Three Mangoes And Three Apples In A Box If Two Fruits Are Chosen At Random The Probability That One Is A Mango And The Other Is An Apple Is

1) 2/3 2) 3/5 3) 1/3 4) None of these Solution: Option (2) 3/5 Total number of fruits in a box = 6 The probability that one is... View Article

A Bag Contains 3 White And 5 Black Balls If One Ball Is Drawn Then The Probability That Is Black Is

1) 3/8 2) 5/8 3) 6/8 4) 10/20 Solution: Option (2) 5/8 Total number of balls = 8 Total number of black balls = 5 Hence, the... View Article