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All Questions


Subject:Competition

If log32, log3(2x - 5), log3 (2x - 7/2) are in arithmetic progression, then the value of x is equal to

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A.) 5
B.) 4
C.) 2
D.) 3
Answer is option : D
Subject:Competition

In the figure given below, AB is the chord of a circle with centre O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If angle ACD = y degrees and angle AOD = x degrees such that x = ky, then the value of k is

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A.) 3
B.) 2
C.) 1
D.) None of the these
Answer is option : A
Subject:Competition

How many three digit positive integers, with digits x, y and z in the hundred's, ten's and unit's place respectively, exist such that x < y, z < y and x is not equal to 0?

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A.) 245
B.) 285
C.) 240
D.) 320
Answer is option : C
Subject:Competition

A vertical tower OP stands at the centre O of a square ABCD. Let h and bdenote the length OP 
and AB respectively. Suppose angle APB = 60o then the relationship between hand bcan be 
expressed as

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A.) Option 1
B.) Option 2
C.) Option 3
D.) Option 4
Answer is option : B
Subject:Competition

In the figure below, the rectangle at the corner measures 10 cm × 20 cm. The corner A of the rectangle is also a point on the circumference of the circle. What is the radius of the circle in cm?

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A.) 10 cm
B.) 40 cm
C.) 50 cm
D.) None of the above
Answer is option : C
Subject:Competition

There are 8,436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on the number of horizontal layers in the pile is

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A.) 34
B.) 38
C.) 36
D.) 32
Answer is option : C
Subject:Competition

If the product of n positive real numbers is unity, then their sum is necessarily

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A.) a multiple of n
B.) equal to n + 1/n
C.) never less than n
D.) a positive integer
Answer is option : C
Subject:Competition

DIRECTIONS for Questions: Answer the questions on the basis of the information given below.

New Age Consultants have three consultants Gyani, Medha and Buddhi. The sum of the number of projects handled by Gyani and Buddhi individually is equal to the number of projects in which Medha is involved. All three consultants are involved together in 6 projects. Gyani works with Medha in 14 projects. Buddhi has 2 projects with Medha but without Gyani, and 3 projects with Gyani but without Medha. The total number of projects for New Age Consultants is one less than twice the number of projects in which more than one consultant is involved.

What is the number of projects in which Gyani alone is involved?

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A.) Uniquely equal to zero
B.) Uniquely equal to 1
C.) Uniquely equal to 4
D.) Cannot be determined uniquely
Answer is option : D
Subject:Competition

DIRECTIONS for Questions: Answer the questions on the basis of the information given below.

New Age Consultants have three consultants Gyani, Medha and Buddhi. The sum of the number of projects handled by Gyani and Buddhi individually is equal to the number of projects in which Medha is involved. All three consultants are involved together in 6 projects. Gyani works with Medha in 14 projects. Buddhi has 2 projects with Medha but without Gyani, and 3 projects with Gyani but without Medha. The total number of projects for New Age Consultants is one less than twice the number of projects in which more than one consultant is involved.

What is the number of projects in which Medha alone is involved?

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A.) Uniquely equal to zero
B.) Uniquely equal to 1
C.) Uniquely equal to 4
D.) Cannot be determined uniquely
Answer is option : B
Subject:Competition

Let g(x) = max (5 - x, x+ 2). The smallest possible value of g(x) is 

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A.) 4.0
B.) 4.5
C.) 1.5
D.) None of the above
Answer is option : D
Subject:Competition

Twenty-seven persons attend a party. Which one of the following statements can never be true?

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A.) There is a person in the party who is acquainted with all the twenty-six others.
B.) Each person in the party has a different number of acquaintances.
C.) There is a person in the party who has an odd number of acquaintances.
D.) In the party, there is no set of three mutual acquaintances.
Answer is option : B
Subject:Competition

How many even integers n, where 100 is less than or equal to n and n is less than or equal to 200, are divisible neither by seven nor by nine? 

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A.) 40
B.) 37
C.) 39
D.) 38
Answer is option : C


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