Concept Booster - Mathematics

Description

This 15 questions test will help the students for revising their concepts during the preparation of entrance examination.
vishaljagetia
Quiz by vishaljagetia, updated more than 1 year ago
vishaljagetia
Created by vishaljagetia over 8 years ago
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Resource summary

Question 1

Question
Consider the equation p = 5 - |2q-3| If p = 4 then possible values of q are
Answer
  • 2, 1, -1
  • -1, 1 only
  • 1 only
  • 2, 1 only

Question 2

Question
Consider the equation p = 5 - |2q-3| If p = |r| + 5, then number of possible ordered pair (r, q) is/are
Answer
  • 1
  • 2
  • 4
  • Infinite

Question 3

Question
The straight line 2x + 5y - 1 = 0 and 4ax - 5y + 2 = 0 are Mutually perpendicular, then the value of 'a' will be
Answer
  • 25/8
  • -1/2
  • -25/8
  • 1/2

Question 4

Question
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
Answer
  • 27
  • 35
  • 82
  • None of these

Question 5

Question
Solve for x, where [ . ] represents greatest integer function and { . } represent fractional part function.
Answer
  • | [x] - 2x | = 4
  • [ x -1 ] + [ 1 - x] + x - {x} >0
  • | [x] + 2x| < 4
  • None of these

Question 6

Question
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 :
Answer
  • x - y - 3 = 0
  • x - y - 1 = 0
  • y = x
  • x - y + 1 = 0

Question 7

Question
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
Answer
  • 4
  • 1/3
  • 1/4
  • None of these

Question 8

Question
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
Answer
  • (-2, 3)
  • (2, 3)
  • (3, 4)
  • (-3, 4)

Question 9

Question
The middle point of the sides of a triangle are (-4, 2), (6, -2) and (7, 9). The centroid of the triangle is
Answer
  • (6, -2)
  • (9, 9)
  • (3, 3)
  • cannot be found

Question 10

Question
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
Answer
  • Last digit of n is 2
  • Sum of digit of n is 3
  • product of digit of n is 2
  • All of the above

Question 11

Question
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
Answer
  • n = 31
  • n is divisible by 5
  • n is divisible by 3
  • None of these

Question 12

Question
The remainder obtained when 1! + 2! + 3! + ...........+ 200! is divided by 14 is
Answer
  • 3
  • 4
  • 5
  • None of these

Question 13

Question
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.
Answer
  • 15
  • 43
  • 38
  • 56

Question 14

Question
If the difference between mean and mode is 63, the difference between mean and median is
Answer
  • 189
  • 21
  • 31.5
  • 48.5

Question 15

Question
For finding average speed of a vehicle covering equal distances in different time intervals, we prefer to use
Answer
  • A.M.
  • G.M.
  • H.M.
  • Median
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