It takes 2 hours for Tiwari and Deo to do a job. Tiwari and Hari take 3 hours to do the same job. Deo and Hari take 6 hours to do the same job. Which Of the following statements is incorrect ?

Abdul travels thrice the distance Catherine travels, which is also twice the distance that Binoy travels. Catherine's speed is 1/3 of Abdul's speed, which is also 1/2 of Binoy's speed. If they start at the same time then who reaches first ? 

For a certain regular solid : number of faces + number of vertices = number of edges + 2. For Three such distinct (not touching each other) objects, what is the total value of faces + vertices - edges ? 

A tall metal cylinder is filled end-to-end with n snugly fitting
spherical wax balls of diameter d. If the balls melt completely, the
volume fraction occupied by the melted wax is :

A, B, C, D are points on a circle with AB = 5 cm, BC = 12 cm, AC = 13 cm and AD = 7 cm. Then, the closest approximation of CD is— 

Which of the following numbers is the largest ?

The cube ABCDEFGH in the figure has each edge equal to a. The area of the triangle with vertices at A, C and F is

What is the number of distinct arrangements of the letters of the word UGC-CSIR so that U and I cannot come together?

Suppose the sum of the seven positive numbers is 21. What is the minimum possible value of the average of the squares of these numbers?

Which of the following is true?

A cylinder of radius 1 cm and height 1 cm is broken into three pieces. Which of the following must be true?

For real number x and y, x² + (y – 4)² = 0. Then the value of x + y is

Every time a ball falls to ground, it bounces back to half the height it fell from. A ball is dropped from a height of 1024 cm. The maximum height from the ground to which it can rise after the tenth bounce is

A farmer gives 7 full, 7 half-full and 7 empty bottles of honey to his three sons and asks them to share these among themselves such that each of them gets the same amount of honey and the same number of bottles. In how many ways can this be done?
(bottles cannot be distinguished otherwise, they are sealed and cannot be broken) 

A car is moving along a straight track. Its speed is changing with time as shown.

Which of the following statements is correct?

Average yield of a product in different years is shown in the histogram. If the vertical bars indicate variability during the year, then during which year was the per cent variability over the average of that year the least ?

A rectangle of length d and breadth d/2 is revolved once completely around its length and once around its breadth. The ratio of volumes swept in the two cases is

A long ribbon is wound around a spool up to a radius R. Holding the tip of the ribbon, a boy runs away from the spool with a constant speed maintaining the unwound portion of the ribbon horizontal. In 4 minutes, the radius of the wound portion becomes . In what further time, it will become ?

If n is a positive integer, then
n(n + 1) (n + 2) (n + 3) (n + 4) (n + 5) (n + 6) is divisible by

The area (in m²) of a triangular park of dimensions 50 m, 120 m and 130 m is

A circle drawn in the x-y coordinate plane passes through the origin and has chords of lengths 8 units and 7 units on the x and y axes, respectively. The coordinates of its centre are

The probability that a ticket less traveler is caught during a trip is 0.1. If the traveler makes 4 trips, the probability that he/she will be caught during at least one of the trips is.

The statement : “The father of my son is the only child of your parents”

The base diameter of a glass is 20% smaller than the diameter at the rim. The glass is filled to half the height. The ratio of empty to filled volume of the glass is

The number of diagonals of a convex deodecagon (12-gon) is

During an evening party, when Ms. Black, Ms. Brown and Ms. White met, Ms. Bjown remarked, “It is interesting that our dresses are white, black or brown, but for each of us the name does not match the colour of the dress !”. Ms. White replied, “But your white dress does not suit you !”. Pick the correct answer.

Of all the triangles that can be inscribed in a semicircle of radius R with the diameter as one side, the biggest one has the area

A square pyramid is to be made using a wire such that only one strand of wire is used for each edge. What is the minimum number of times that the wire has to be cut in order to make the pyramid?

Identify the next figure in the sequence

In a customer survey conducted during Monday to Friday, of the customers who asked for child care facilities in supermarkets, 23% were men and the rest, women. Among them, 19.9% of the women and 8.8% of the men were willing to pay for the facilities
1. What is the ratio of the men to women customers who wanted child care facilities?
2. If the survey had been conducted during the weekend instead, how will the result change?
With the above data

The following diagram shows 2 perpendicularly inter-grown prismatic crystals (twins) of identical shape and size. What is the volume of the object shown (units are arbitrary) ?

Suppose in a box there are 20 red, 30 black, 40 blue and 50 white balls. What is the minimum number of balls to be drawn, without replacement, so that you are certain about getting 4 red, 5 black, 6 blue and 7 white balls?

In the growing years of a child, the height increases as the square root of the age while the weight increases in direct proportion to the age. The ratio of the weight to the square of the height in this phase of growth

Students in group A obtained the following marks : 40, 80, 70, 50, 60, 90, 30. Students in group B obtained 40, 80, 35, 70, 85, 45, 50, 75, 60 marks. Define dispersion (D) = (maximum marks – minimum marks), and relative dispersion (RD) = dispersion/mean. Then,

In 450 g of pure coffee powder 50 g of chicory is added. A person buys 100 g of this mixture and adds 5 g of chicory to that. What would be the rounded-off percentage of chicory in this final mixture?

Each of the following pairs of words hides a number, based on which you can arrange them in ascending order. Pick the correct answer :
I. Cloth reel
J. Silent wonder 
K. Good tone 
L. Bronze rod

Which of the following values is same as ?

A 12 m × 4 m rectangular roof is resting on four 4 m tall thin poles. Sunlight falls on the roof at an angle of 45° from the east, creating a shadow on the ground. What will be the area of the shadow?

If Here a, b, c and d are digits.Then a + b =

The maximum number of points formed by intersection of all pairs of diagonals of convex octagon is