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Basic Mathematics Questions

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Question	Category
In a two digit number the tens digit is 3 times the unit digit. When the number is decreased by 54 the digits are reversed. Find the number.	Mathematics - Basic
Two years ago a father was five times as old as his son. Two years later his age will be 8 more than 3 times the age of his son. Find the present age of father	Mathematics - Basic
Solve x+y=6,x-y=2	Mathematics - Basic
Find the value of ‘p’ for which 4x² - 5x + p = 0, gives 2 equal roots.	Mathematics - Basic
A class consists of a number of boys whose ages are in AP, the common difference being 4 months. If the youngest boy is just 8 years old, and if sum of the ages is 168years, find the number of boys in the class.	Mathematics - Basic
The probability that a number selected at random from the set of numbers {1,2,3,...,100} is a cube is	Mathematics - Basic
The probability that a leap year will have 53 sundays is	Mathematics - Basic
Which of the following functions give you a positive response?	Mathematics - Basic
Let n (>1) be a positive integer. Then the largest integer m such that (nm + 1) divides (1 + n + n2 + --------- + n127) is	Mathematics - Basic
In a single throw of two dice, what is the probability of getting a multiple of 2 on one and a multiple of 3 on other?	Mathematics - Basic
Find the number of the bricks, each measuring 25 cm by 12.5 cm by 7.5 cm, required to build a wall 6 m long, 5 m high and 50cm thick, while the mortar occupies 5% of the volume of the wall.	Mathematics - Basic
Rs.432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get?	Mathematics - Basic
Two numbers are such that twice the smaller number exceeds twice the greater one by 18 and 1/3 of the smaller and 1/5 of the greater number are together 21. The numbers are:	Mathematics - Basic
The probabilities that a husband and wife will be alive 20 years from now are 0.8 and 0.9 respectively. Find the probability that in 20 years at least one will be alive.	Mathematics - Basic
In a triangle ABC if cos B = sin A / 2 sin C then the triangle is	Mathematics - Basic
The area bounded by the curve y = log x, the x-axis and the line x = 2 is :	Mathematics - Basic
A bag contains 7 red,5blue ,4 white and 4 black balls .Find the probability that a ball drawn at random is red or white.	Mathematics - Basic
If Logx (1 / 8) = - 3 / 2, then x is equal to	Mathematics - Basic
20 % of 2 is equal to	Mathematics - Basic
If Log 4 (x) = 12, then log 2 (x / 4) is equal to?	Mathematics - Basic
The missing term in the sequence 4,2,6,4,8,8,10,...,12 is	Mathematics - Basic
In roman numerals, the next in the sequence LXIV, XXXVI,XVI,.... is	Mathematics - Basic
The highest power of 3 which exactly divide 10! is?	Mathematics - Basic
The cosines of the angle between any two diagonals of cube is	Mathematics - Basic
What is radius of circle X^2+Y^2=25	Mathematics - Basic
A square matrix can always be expressed as a	Mathematics - Basic
The mean and S.d of 1,2,3,4,5,6	Mathematics - Basic
The equation of the chord of the circle x^2 + y^2 – 4x = 0 whose mid point is (1, 0) is	Mathematics - Basic
The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are	Mathematics - Basic
Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is	Mathematics - Basic
The point (–4, 5) is the vertex of a square and one of its diagonals is 7x – y + 8 = 0. The equation of the other diagonal is	Mathematics - Basic
If a, b, c are real, then both the roots of the equation (x – b) (x – c) + (x – c) (x – a) + (x – a) (x – b) = 0 are always	Mathematics - Basic
For any complex number z, the minimum value of | z | + | z – 1 | is	Mathematics - Basic
The number of points on the line x + y = 4 which are unit distance apart from the line 2x + 2y = 5 is	Mathematics - Basic
If the rate of increase of the radius of a circle is 5 cm/.sec., then the rate of increase of its area, when the radius is 20 cm, will be	Mathematics - Basic
The distance covered by a particle in t seconds is given by x = 3 + 8t – 4t^2. After 1 second velocity will be	Mathematics - Basic
The Rolle’s theorem is applicable in the interval – 1 = x = 1 for the function	Mathematics - Basic
A polygon has 44 diagonals. The number of its sides is	Mathematics - Basic
The multiplicative inverse of (1-i) / (1+i) is	Mathematics - Basic
If f(x) = cos (log x) then d/dx f(x) =	Mathematics - Basic
A point moves such that the sum of the squares of the distances from the three verticals of a triangle is constant the locus of the point to	Mathematics - Basic
In a triangle ABC if cos B = sin A / 2 sin C then the triangle is	Mathematics - Basic
Area bounded by x = 4 - y2 and y-axis is	Mathematics - Basic
The absolute maximum of y = x3 - 3x + 2 in [0, 2] is	Mathematics - Basic
The locus of a point such that the ratio of its distances from two fixed points is a constant is	Mathematics - Basic
The parabola (y + 1) 2 = a(x-2) passes through the point (1, -2). The equation of its directrix is	Mathematics - Basic
In a class of 60, where girls are twice that of boys, Gopu ranked seventeenth from the top. If there are 9 girls ahead of Gopu, how many boys are after him in rank?	Mathematics - Basic
A horse is tied to a peg hammered at one of the corner of a rectangular grass field of 40 m by 24 m by a rope 14 m long. Over how much area of the field can the horse graze?	Mathematics - Basic
A boat takes half time in moving a certain distance downstream than upstream. What is ratio between rate in still water and rate of current?	Mathematics - Basic
A passenger train runs at the rate of 80 kmph. It starts from the station at some time. After 6 hours a goods trains leaves the station. The passenger train overtakes the goods train after 4 hours. The speed of goods train is:	Mathematics - Basic

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