"My friend Raju has more than 1000 books". said Ram. "Oh no, he has less than 1000 book said Shyam.  "Well. Raju certainly has at least one book", said Geeta. If only one of these statements is true. how many books does Raju have ?

Of the following, which is the odd one out ?

An infinite number of identical circular discs each of radius  are tightly packed such that the centres of the discs are at integer values of coordinates x and y. The ratio of the area of the uncovered patches to the total area is —

 It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A, How many days will it take for a raft to drift from A to B (all speeds stay constant) ?

N is a four digit number. If the leftmost digit is removed, the resulting three digit number is 1/9th Of N. How many such N are possible ?

A granite block of 2m × 5m × 3m size is cut into 
5 cm thick slabs of 2 m × 5 m size. These slabs are laid over a 2 m wide pavement. What is the length of the pavement that can be covered with these slabs?

Which is the least among the following?
0.33^0.33 , 0.44^0.44, 0.55^–1/p , e^–1/e

What is the next number in this “see and tell” sequence?
1   11   21   1211   111221   .........

The frequency range of Ultra High Frequency (UHF) is __ ?

A peacock perched on the top of a 12 m high tree, spots a snake moving towards its hole at the base of the tree from a distance equal to thrice the height of the tree. The peacock flies towards the snake in a straight line and they both move at the same speed. At what distance from the base of the tree will the peacock catch the snake?

One of the four –A, B, C and D – committed a crime. A said, “I did it.” B said, “I didn’t.” C said. “B did it.” D said, “A did it.” Who is lying?

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 hooey 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)

If the roots of the equation a(b – c) x² + b(c – a) x + c(a – b) = 0 are equal, then a, b, c are in

What is the next number in the following sequence?
39, 42, 46, 50, ......

A student buys a book from an online shop at 20% discount. His friend buys another copy of the same book in a book fair for Re. 192 paying 20% less than his friend. What is the full price of the book?

Consider the set of numbers {171, 172, ..., 17300}. How many of these numbers end with the digit 3 ?

Average yield of a product in different years is shown in the histogram. If the vertical bars indicates 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 R/2?

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

Five congruent rectangles are drawn inside a big rectangle of perimeter 165 as shown. What is the perimeter of one of the five rectangles?

At one instant, the hour hand and the minute hand of a clock are one over the other in between the markings for 5 and 6 on the dial. At this instant, the tip of the minute hand

There are two buckets A and B. Initially A has 2 litres of water and B is empty. At every hour 1 litre of water is transferred from A to B followed by returning 1/2 litre back to A from B half an hour later. The earliest A will get empty is in

A car is moving at 60 km/h. The instantaneous velocity of the upper most points of its wheels is

Density of a rice grain is 1.5 g/cc and bulk density of rice heap is 0.80 g/cc. If a 1 litre container is completely filled with rice. What will be the approximate volume of pore space in the container?

There is an equilateral triangle in the XY plane with its centre at the origin. The distance of its sides from the origin is 3.5 cm. The area of its circumcircle in cm² is

A sphere of iron of radius R/2 fixed to one end of a string was lowered into water in a cylindrical container of base radius R to keep exactly half the sphere dipped. The rise in the level of water in the container will be

A crystal grows by stacking of unit cells of 10 × 20 × 5 nm size as shown in the diagram given below. How many unit cells will make a crystal of 1 cm³ volume? 

What is the value of  to  ?

A solid cylinder of basal area A was held dipped in water in a cylindrical vessel of basal area 2A vertically such that a length h of the cylinder is immersed. The lower tip of the cylinder is at a height h from the base of the vessel. What will be the height of water in the vessel when the cylinder is taken out ?

Find the missing letter
A    B    C    D
F     I     L    O
K    P    U    Z
P   W    D    ?

Consider a right-angled triangle ABC where  AB = AC = 3. A rectangle APOQ is drawn inside it, as shown, such that the height of the rectangle is twice its width. The rec tangle is moved horizontally by a distance 0.2 as shown schematically in the diagram (not to scale).

What is the value of the ratio 

80 gsm paper is cut into sheets of 200 mm × 300 mm size and assembled in packets of 500 sheets. What will be the weight of a packet? (gsm = g/m²)

Three indentical flat equilateral-triangular plates of side 5 cm each are placed together such that they form a trapezium. The length of the longer of the two parallel sides of this trapezium is

An archer climbs to the top of a 10 m high building and aims at a bird atop a tree 17 m away. The line of sight from the archer to the bird makes an angle of 45° to the horizontal. What is the height of the tree?

Which one of the following has the highest value of specific heat ?

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

An infinite number of identical circular discs each of radius  are tightly packed such that the centers of the discs are at integer values of coordinates x and y . The ratio of the area of the uncovered patches to the total area is .

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A. How many days will it take for a raft to drift from A to B (all speeds stay constant ) ?

“ My friend Raju has more than 1000 books “, said Ram . “ Oh no , he has less than 1000 books”, said Shyam .’’ Well , Raju certainly has at least one books “, said Geeta . If only one of these statements is true , how many books does Raju have ?

Of the following , Which is the odd one out ?

A student appearing for an exam is declared 1oto have failed the exam if his /her  score.This implies

Find the next figure ‘D'

N is a four digit number . If the leftmost digit is removed , the resulting three digit number is 1/9 ^th of N. How many such N are possible ?

AB and CD are two chords of a circle subtending 60^o and 120^o respectively at the same point on the circumference of the circle . Then AB:CD

Which of the following inferences can be drawn from the above graph?

What is the minimum number of moves required to transform figure 1 to figure 2 ? A move is defiend as removing a coin and placing it such that it touches two other coins in its new position