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Explore the Back-StoryThe value of is

(A)

(B)

(C)

(D)

A train moving with a constant speed crosses a stationary pole in 4 seconds and a platform long in 9 seconds. The length of the train is (in meters)

(A) 56

(B) 58

(C) 60

(D) 62

One of the factors of is

(A)

(B)

(C)

(D)

The natural number which is subtracted from each of the four numbers to give four numbers in proportion is

(A) 1

(B) 2

(C*) 3

(D) 4

The solution to the equation is

(A) 2

(B) 4

(C) 5

(D) No solution

If , the value of is

(A) 1

(B) 2

(C) 3

(D) 4

There are two values of for which the equation has only one solution for . The sum of these two value of is

(A) 1

(B) 2

(C) 3

(D) 4

The number of zeros in the product of the first 100 natural numbers is

(A) 12

(B) 15

(C) 18

(D) 24

The length of each side of a triangle in increased by then the percentage increase of area is

(A)

(B)

(C)

(D)

The number of pairs of relatively prime positive integers such that is an integer is

(A) 1

(B) 2

(C) 3

(D) 4

The four digit number is a perfect square. The value of is

(A) 52

(B) 62

(C) 54

(D) 68

are positive real numbers such that . The smallest value of is

(A) 15

(B) 16

(C) 17

(D) 18

real numbers. The least value of is

(A) 1

(B) 0

(C) -1

(D) 2

I is the incenter of a triangle in which

(A)

(B)

(C)

(D)

In the adjoining figure is a square and DFEB is a rhombus

(A)

(B)

(C)

(D)

is a square are point on respectively and . The value of is

The average of 5 consecutive natural numbers is 10 . The sum of the second and fourth of these numbers is

The number of natural number for which is a perfect square is

is an integer and is also an integer. The sum of all such is

is a fraction where have no common factors other 1 . b exceeds a by 3 . If the numerator is increased by 7 , the fraction is increased by unity. The value of

If then the value of is

The angle of a heptagon are . The value of is

is a triangle and is its altitude. If , then the value of is

As sphere is inscribed in a cube that has surface area of . A second cube is then inscribed within the sphere. The surface area of the inner cube in is

A positive integer is multiple of 7 . If lies between 15 and 16 , the number of possible values (s) of n is

The value of which satisfies the equation is

man do a work in days. If there had been men more, the work would have been finished days earlier, then the value of is

The sum of the digit of a two number is 15 . If the digits of the given number are reversed, the number is increased by the square of 3 . The original number is

When expanded the units place of is

If and , then is

The value of is

(A)

(B)

(C)

(D)

A train moving with a constant speed crosses a stationary pole in 4 seconds and a platform long in 9 seconds. The length of the train is (in meters)

(A) 56

(B) 58

(C) 60

(D) 62

One of the factors of is

(A)

(B)

(C)

(D)

The natural number which is subtracted from each of the four numbers to give four numbers in proportion is

(A) 1

(B) 2

(C*) 3

(D) 4

The solution to the equation is

(A) 2

(B) 4

(C) 5

(D) No solution

If , the value of is

(A) 1

(B) 2

(C) 3

(D) 4

There are two values of for which the equation has only one solution for . The sum of these two value of is

(A) 1

(B) 2

(C) 3

(D) 4

The number of zeros in the product of the first 100 natural numbers is

(A) 12

(B) 15

(C) 18

(D) 24

The length of each side of a triangle in increased by then the percentage increase of area is

(A)

(B)

(C)

(D)

The number of pairs of relatively prime positive integers such that is an integer is

(A) 1

(B) 2

(C) 3

(D) 4

The four digit number is a perfect square. The value of is

(A) 52

(B) 62

(C) 54

(D) 68

are positive real numbers such that . The smallest value of is

(A) 15

(B) 16

(C) 17

(D) 18

real numbers. The least value of is

(A) 1

(B) 0

(C) -1

(D) 2

I is the incenter of a triangle in which

(A)

(B)

(C)

(D)

In the adjoining figure is a square and DFEB is a rhombus

(A)

(B)

(C)

(D)

is a square are point on respectively and . The value of is

The average of 5 consecutive natural numbers is 10 . The sum of the second and fourth of these numbers is

The number of natural number for which is a perfect square is

is an integer and is also an integer. The sum of all such is

is a fraction where have no common factors other 1 . b exceeds a by 3 . If the numerator is increased by 7 , the fraction is increased by unity. The value of

If then the value of is

The angle of a heptagon are . The value of is

is a triangle and is its altitude. If , then the value of is

As sphere is inscribed in a cube that has surface area of . A second cube is then inscribed within the sphere. The surface area of the inner cube in is

A positive integer is multiple of 7 . If lies between 15 and 16 , the number of possible values (s) of n is

The value of which satisfies the equation is

man do a work in days. If there had been men more, the work would have been finished days earlier, then the value of is

The sum of the digit of a two number is 15 . If the digits of the given number are reversed, the number is increased by the square of 3 . The original number is

When expanded the units place of is

If and , then is

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