vishaljagetia
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This 15 questions test will help the students for revising their concepts during the preparation of entrance examination.

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vishaljagetia
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Concept Booster - Mathematics

Concept Booster - Mathematics

Question 1 of 15

1

Consider the equation p = 5 - |2q-3|
If p = 4 then possible values of q are

Select one of the following:

  • 2, 1, -1

  • -1, 1 only

  • 1 only

  • 2, 1 only

Explanation

Question 2 of 15

1

Consider the equation p = 5 - |2q-3|
If p = |r| + 5, then number of possible ordered pair (r, q) is/are

Select one of the following:

  • 1

  • 2

  • 4

  • Infinite

Explanation

Question 3 of 15

1

The straight line 2x + 5y - 1 = 0 and 4ax - 5y + 2 = 0 are Mutually perpendicular, then the value of 'a' will be

Select one of the following:

  • 25/8

  • -1/2

  • -25/8

  • 1/2

Explanation

Question 4 of 15

1

ABC is a triangle. The coordinates of whose vertices are (-2, 4), (10, -2) and (-2, -8). G is the centroid of triangle ABC, then area of the triangle GBC is equal to

Select one of the following:

  • 27

  • 35

  • 82

  • None of these

Explanation

Question 5 of 15

1

Solve for x, where [ . ] represents greatest integer function and { . } represent fractional part function.

Select one of the following:

  • | [x] - 2x | = 4

  • [ x -1 ] + [ 1 - x] + x - {x} >0

  • | [x] + 2x| < 4

  • None of these

Explanation

Question 6 of 15

1

Given two straight lines x - y - 7 = 0 and x - y + 3 = 0. Equation of a line which divides the distance between them in the ratio 3 : 2 (internally) can be :

Select one of the following:

  • x - y - 3 = 0

  • x - y - 1 = 0

  • y = x

  • x - y + 1 = 0

Explanation

Question 7 of 15

1

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. is

Select one of the following:

  • 4

  • 1/3

  • 1/4

  • None of these

Explanation

Question 8 of 15

1

Let (2, -1) be the point P and x - y + 1 = 0 be the straight line S. If Q is image of point P about line S, then image of point Q about y- axis is

Select one of the following:

  • (-2, 3)

  • (2, 3)

  • (3, 4)

  • (-3, 4)

Explanation

Question 9 of 15

1

The middle point of the sides of a triangle are (-4, 2), (6, -2) and (7, 9). The centroid of the triangle is

Select one of the following:

  • (6, -2)

  • (9, 9)

  • (3, 3)

  • cannot be found

Explanation

Question 10 of 15

1

Every body in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of person in the room is n

Select one of the following:

  • Last digit of n is 2

  • Sum of digit of n is 3

  • product of digit of n is 2

  • All of the above

Explanation

Question 11 of 15

1

Numbers of natural numbers smaller than ten thousand and divisible by 4 using the digits 0, 1, 2, 3 and 5 without repetition is n then

Select one of the following:

  • n = 31

  • n is divisible by 5

  • n is divisible by 3

  • None of these

Explanation

Question 12 of 15

1

The remainder obtained when 1! + 2! + 3! + ...........+ 200! is divided by 14 is

Select one of the following:

  • 3

  • 4

  • 5

  • None of these

Explanation

Question 13 of 15

1

In a G.P. the ratio of the sum of the first eleven terms to the sum of the last eleven terms is 1/8 and the ratio of the sum of all the terms without the first nine to the sum of all the terms without the last nine is 2. Then the number of terms of the G.P. is less than.

Select one of the following:

  • 15

  • 43

  • 38

  • 56

Explanation

Question 14 of 15

1

If the difference between mean and mode is 63, the difference between mean and median is

Select one of the following:

  • 189

  • 21

  • 31.5

  • 48.5

Explanation

Question 15 of 15

1

For finding average speed of a vehicle covering equal distances in different time intervals, we prefer to use

Select one of the following:

  • A.M.

  • G.M.

  • H.M.

  • Median

Explanation

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