Maths

The number of integral values of x satisfying 5x-1<(x+1)²<7x-3 is

• 0

• 1

• 2

• 3

if sin®, cos ® are the roots of 6x²-px+1=0, then p²=

• 40

• 48

• 36

• 24

A and B are two independent events. The probability that both A and B occur, is 1/6 and the probability that none of them occur, is 1/3. The minimum value of probability of occurrence of A is

• 1/2

• 1/3

• 1/4

• 1/6

When coin is tossed n times and the probability for getting 6heads is equal to the probability of getting 8 heads, then the value of n is

• 10

• 12

• 14

• 20

One method of determing mode is

• Mode =2 median-3 mean

• Mode= 2 median +3 mean

• Mode= 3 median -2 mean

• None of the above

The negative of the proposition :“if a number is divisible by 15 , then it is divisible by 5 or 3”

• If a number is divisibley by 15 , then it is not divisible by 5 and 3

• A number is divisible by 15 and it is not divisible by 5 and 3

• Both 1 and 2 are correct

• None of the above

Which of the following is a proposition

• Logic is an interesting subject

• A triangle is a circle and 10 is a prime number

• Both 1 and 2 are correct

• Both 1 and 2 are wrong

If n (A) =4, then number of relations on A that are not reflexive is

• 2¹⁶

• 2¹²

• 15×2¹²

• 17×2¹²

In a football championship there were played 153 matches. Every two teams played one match with each other. The number of teams, participating in the championship is

• 14

• 22

• 18

• 9

The number of even numbers between 200 and 20,000 can be formed with the digits 0,1,2,3,4 when repetitions are not allowed is

• 144

• 120

• 99

• 96