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Six Identical Coins Are Arranged In A Row The Number Of Ways In Which The Number Of Tails Is Equal To The Number Of Heads Is

1) 20 2) 9 3) 120 4) 40 Answer: (1) 20 Solution: If six coins arranged in a row and if number of tails and heads appears equal, then;... View Article

The Sum Of The Digits In The Unit Place Of All Numbers Formed With The Help Of 3456 Taken All At A Time Is

1) 18 2) 432 3) 108 4) 144 Answer: (3) 108 Solution: We can form four digits numbers using 3,4,5,6. Now if 3 is at unit place, then the... View Article

The Product Of Any R Consecutive Natural Numbers Is Always Divisible By

1) r! 2) r2 3) rn 4) None of these Answer: (1) r! Solution: We can write, r!=r(r−1)(r−2)(r−3)(r−4)(r−5)..........3.2.1 Product of r... View Article

In A Train Five Seats Are Vacant Then How Many Ways Can Three Passengers Sit

1) 20 2) 30 3) 10 4) 60 Answer: (4) 60 Solution: Number of ways three passengers can sit in five seats = 5P3 = 5!/(5-3)! = 5!/2! = 120/2 = 60... View Article

In How Many Ways Can 5 Prizes Be Distributed Among Four Students When Every Student Can Take One Or More Prizes

1) 1024 2) 625 3) 120 4) 600 Answer: (1) 1024 Solution: 5 prizes can be distributed among four students in = 45 ways = 1024... View Article

4 Note Of Rs 100 And 5 Note In Which First Of Rs 1 Second Of Rs 2 Third Of Rs 5 Fourth Of Rs 20

1) 3 × 53 2) 53 × 3 3) 36 4) None of these Answer: (3) 36 Solution: If we give one note of Rs.100 to each of the three children, we... View Article

Four Dice Sixfaced Are Rolled The Number Of Possible Outcomes In Which At Least One Die Shows 2 Is

1) 1296 2) 625 3) 671 4) None of these Answer: (3) 671 Solution: Number of possible outcomes when four dice are rolled = 64 If none of... View Article

Find The Total Number Of 9 Digit Numbers Which Have All The Digits Different

1) 9 × 9! 2) 9! 3) 10! 4) None of these Answer: (1) 9 x 9! Solution: There are 10 different digits: 0,1,2,3,4,5,6,7,8,9 We can put 0 in... View Article

In How Many Ways Can Mn Letters Be Posted In N Letter Boxes

1) (mn)n 2) mmn 3) nmn 4) None of these Answer: (1) (mn)n Solution: mn letters can be posted in n letter boxes for n number of... View Article

If Np4 Np5 1 2 Then N

1) 4 2) 5 3) 6 4) 7 Answer: (3) 6 Solution: nP4:nP5 = 1:2 [n!/(n-4)!]:[n!/(n-5)!] = 1:2 (n-5)!:(n-4)! = 1:2 n - 4 = 2 n = 6... View Article

How Many Numbers Lying Between 999 And 10000 Can Be Formed With The Help Of The Digit 023678

1) 100 2) 200 3) 300 4) 400 Answer: (3) 300 Solution: Between 999 and 10000 we have all four digits numbers Now, we need to form numbers... View Article

9 Balls Are To Be Placed In 9 Boxes And 5 Of The Balls Cannot Fit Into 3 Small Boxes The Number Of Ways

1) 18720 2) 182730 3) 17280 4) 12780 Answer: (3) 17280 Solution: Given, 9 balls are to be placed in 9 boxes and 5 of the balls cannot fit... View Article

4 Buses Run Between Bhopal And Gwalior If A Man Goes From Gwalior To Bhopal By Bus

1) 12 2) 16 3) 4 4) 8 Answer: (1) 12 Solution: If a man goes Gwalior to Bhopal, he has four options While coming back, he has (4-1) options... View Article

How Many Numbers Greater Than 24000 Can Be Formed By Using Digits 12345 When No Digit Is Repeated

1) 36 2) 60 3) 84 4) 120 Answer: (3) 84 Solution: Given, 1,2,3,4,5 are five digits We have to find numbers greater than 24000. Therefore,... View Article

From A Pack Of 52 Cards Two Cards Are Drawn One By One Without Replacement The Probability That First Drawn Card Is A King And Second Is

1) 2/13 2) 8/663 3) 4/663 4) 103/663 Solution: Option (3) 4/663 In a pack, there are 52 cards. The number of kings in a pack = 4... View Article

From A Pack Of 52 Cards One Card Is Drawn At Random The Probability That It Is Either A King Or A Queen Is

1) 1/13 2) 2/13 3) 3/13 4) 4/13 Solution: Option (2) 2/13 In a pack, total number of cards = 52 Total number of kings in a pack = 4... View Article

The Chance Of India Winning The Toss Is 34 If It Wins The Toss Then Its Chance Of Victory Is 45 Otherwise It Is Only 12 Then The Chance Of Indias

1) 1/5 2) 3/5 3) 3/40 4) 29/40 Solution: Option (4) 29/40 Given that, the probability of India winning the toss = ¾ For this event,... View Article

A Sixfaced Dice Is So Biased That It Is Twice As Likely To Show An Even Number As An Odd Number When Thrown It Is Thrown Twice The Probability

1) 1/12 2) 1/6 3) 1/3 4) 5/9 Solution: Option (4) 5/9 Let the probability of getting an odd number be “p”, and the probability of... View Article

The Chances Of Throwing A Total Of 3 Or 5 Or 11 With Two Dice Is

1) 5/36 2) 1/9 3) 2/9 4) 19/36 Solution: Option (2) 2/9 If two dice are rolled, the total number of sample space = 36 The... View Article

The Probability That A Teacher Will Give An Unannounced Test During Any Class Meeting Is 15 If A Student Is Absent Twice Then The Probability That

1) 4/5 2) 2/5 3) 7/5 4) 9/25 Solution: Option (4) 9/25 Given that, the probability of conducting the test = ⅕ Hence, the... View Article