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— 

Choose the four digit number, in which the product Of the first & fourth digits is 40 and the product of the middle digits is 28. The thousands digit is as much less than the unit digit as the hundreds digit is less than the tens digit— 

Equilateral triangles are drawn one inside the other as shown. What is the ratio of the two shaded areas ?

A frog hops and lands exactly 1 metre away at a time. What is the least number of hops required to reach a point 10 cm away ? 

A train running at 36 km/h crosses a mark on the platform in 8 sec and takes 20 sec to cross the platform. What is the length of the platform ? 

When a polynomial f(x) is divided by x - 5 or x - 3 or x - 2, it leaves a remainder of 1. Which of the following would be the polynomial ? 

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 circle of radius 5 units in the XY plane has its centre in the first quadrant, touches the x-axis and has a chord of length 6 units on the y-axis. The coordinate of its centre are

A wire of length 6 metres is used to make a tetrahedron of each edge 1 metre, using only one strand of wire for each edge. The minimun number of times the wire has to be cut is

If the sum of the next two terms of the series below is x, what is the value of log₂x?
2, –4, 8, –16, 32, –64, 128, .......

A conical vessel with semi-vertical angle 30° and height 10.5 cm has a thin lid. A sphere kept inside it touches the lid. The radius of the sphere (in cm) is

Amar, Akbar and Anthony are three friends, one of whom is a doctor, another is an engineer and the third is a professor. Amar is not an engineer. Akbar is the shortest. The tallest person is a doctor. The engineer’s height is the geometric mean of the heights of the other two. Then 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?

If a + b + c + d + e = 10 (all positive numbers), then the maximum value of a × b × c × d × e is

How many nine-digit positive integers are there, the sum of squares of whose digits is 2?

A circle of radius 7 units lying in the fourth quadrant touches the x-axis at (10, 0). The centre of the circle has coordinates

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?

What is the arithmetic mean of

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

Lunch-dinner pattern of a person for m days is given below. He has a choice of a VEG or a NON-VEG meal for his lunch/dinner
(1) If he takes a NON-VEG lunch he will have only VEG for dinner.
(2) He takes NON-VEG dinner for exactly 9 days.
(3) He takes VEG lunch for exactly 15 days.
(4) He takes a total of 14 NON-VEG meals. 
What is m?

A bank offers a scheme wherein deposits made for 1600 days are doubled in value. The  interest being compounded daily. The interest accrued on a deposit of  1000 over the first 400 days would be 

What is the next number of the following sequence?
2, 3, 4, 7, 6, 11, 8, 15, 10...

Two locomotives are running towards each other with speeds of 60 and 40 km/h. An object keeps on flying to and fro from the front tip of one locomotive to the front tip of the other with a speed of 70 km/h. After 30 minutes, the two locomotives collide and the object is crushed. What distance did the object cover before being crushed?

Weights (in kg) of 13 persons are given below
70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94.
Two new persons having weights 100 kg and 79 kg join the group. The average weight of the group increases by

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

One is required to tile a plane with congruent regular polygons. With which of the following polygons is this possible?

Suppose three meetings of a group of 1 professors were arranged in Mumbai, Delhi and Chennai. Each professor of the group attended exactly two meetings. 21 professors attended Mumbai meeting, 27 attended Delhi meeting and 30 attended Chennai meeting. How many of them attended both the Chennai and Delhi meetings?

A wheel barrow with unit spacing between its wheels is pushed along a semi-circular path of mean radius 10. The difference between distances covered by the inner and outer wheels is

The missing number is

Decode
G    E     N     T     S    T    U
I      S     S    O     L    V    D
L     I       I     S     P    A    E
L     M    H     T     R    B    N
E     E    L     B     O    L    T
T     N     I     Y     B    E    S

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 map given below shows contour lines which connect points of equal ground surface elevation in a region. Inverted ‘V’ shaped portions of contour lines represent a valley along which a river flows. What is the downstream direction of the river?

During a summer vacation, of 20 friends from a hostel, each wrote a letter to each of all others. The total number of letters written was

A person has to cross a square field by going from A to C. The person is only allowed to move towards the east or towards the north or use a combination of these movements. The total distance travelled by the person

A crow is flying along a horizontal circle of radius R at a height R above the horizontal ground. Each of a number of men on the ground found that the angular height of the crow was a fixed angle  (< 45°) when it was closest to him. Then all these men must be on a circle on the ground with a radius

How many pairs of positive integers have gcd 20 and 1cm 600?
(gcd = greatest common divisor; 1 cm = least common multiple)

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?

The time gap between the two instants, one before and one after 12.00 noon, when the angle between the hour hand and the minute hand is 66°, is

Suppose

+, – and x have their usual meanings. What is the value of
 [(197 o 315) – (197  315)} • (197 * 315)? 

If A × B = 24, B × C = 32, C × D = 48 then A × D

If all horses are donkeys, some donkeys are monkeys and some monkeys are men, then which statement must be true?

A rectangular area of sides 9 and 6 units is to be covered by square tiles of sides 1, 2 and 5 units. The minimum number of tiles needed for this is

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

Find the height of a box of base area 24 cm × 48 cm, in which the longest stick that can be kept is 56 cm long

The product of the perimeter of a triangle, the radius of its in-circle, and a number gives the area of the triangle. The number is

An infinite row of boxes is arranged. Each box has half the volume of the previous box. If the largest box has a volume of 20 cc, what is the total volume of all the boxes?

Find the missing element based on the given pattern

By reading the accompanying graph, deter-1 mine the INCORRECT statement out of the following

Four identical cones with base diameter of 10 cm are compactly placed inside a box in uprigh position.What will be the area of sqaure (in cm²) formed by connecting tips the cones ?

How many hollow spheres having inner radius of 1 cm can be completely filled by transferring water from a completely filled hollow sphere having inner diameter of 20 cm ?

The two identical bags and two identical boxes are placed as shown. The top of the stable is at the height of.

The graph shows the cumulative number of deaths during a pandemic. The time intervals shown in the graph are equal. The largest increase in the number of deaths was during the period.

The period of a pendulum is given as T = 2  (l/g)^½ where g = 9.81 m/s² and =3.1416.The period of a pendulum of length 1 m correct to the first place of decimal in seconds.

The sides a, b and c of a ΔABC satisfy the equation (a – 8)² + (b – 15)² + (c – 17)² = 0. Then ΔABC is z :

In the given substraction problem, each letter represents a digit between 0 and 9 :
 

	T	A	S	5
-		R	S	R
	2	T	A	9

 

Three apartments,which are in a row, are occupied by Umar, Ramesh and John. Only one of them is the landlord, whose apartment is at one end. Ramesh's apartment is not next to John's apartment.The apartment on the left is not the landlord's, the one isn the middle is not Ramesh's and the one on the right is not John's.Who is the landlord  ?

At a book–signing session, there are 5 authors who write only single-author books and another 5 who write only in pairs.Every author signs books that are authored or co-authored by him/her. In order to collect signatures of all 10 authors, in th best possible scenario, the minimum number of books that need to be purchased is :

The gross domestic products (GDP) and total populations of four countries A, B, C and D in appropriate units are shown in the accompanying figures

Countries with the highest and the lowest per capita GDP are, respectively.

In a class of 84 students, 29 failed in Science (S), 43 failed in Maths (M) and 17 students passed in both.Which of the following Venn diagrams is the correct depiction of the situation ?

A milk vendor has 50 L of milk and supplies 5 L to every customer. After each transaction he adds 5L of water. What is the percentage of milk contained in a litre of solution purchased by the fifth customer ? 

An expenditure of Rs. 96 was supposed to be shared equally by all the students in a class. Since four students didn't contribute, the remaining students had to contribute an additional amount of Rs. 4 each. how many students contributed ?

While calculating the average of twenty 2-digit numbers, digits of one of the numbers got interchanged because of which the average reduced by 1.8. The difference in the values of the digits of the number that were interchanged is.

Based on the clue given in statements A to D, find the correct 3-digit number.
1. Two of the digits are present in the number 395, but they are not placed correctly.
2. One of the digits is present in the number 718 and is placed correctly.
3. None of the digits is present in the number 148
4. One of the digits is present in the number 835 is placed correctly.

Which of the following plots represents the function y = x ?

1% of the population of a country is suffering from a disease.One person undergoes a diagnostic test which has 98% reliability (i.e., 98% of people who are sick test positive and 98% of the healthy people test negative).If the person is tested positive,the chances that The person is acually having the disease is, approximately :

A man of height 2 m looks at the top of a 40m tall building from some distance. The angle of elevation of his line of sight is 45^o. When he further moves away from the building by a distance x, the angle of elevation becomes 30°. Then x is approximately :

In an 800 m wide river, water flows at a speed of 9 km/h. A man can row a boat in still water with a speed of 15 km/h. If the path of the boat is maintaind perpendicular to the flow of the water, then how long will the man take to cross it ?

On a large flat surface identical circular coins are placed in the most compact arrangement without overlapping with each other. If the number of coins available is unlimited, then the fraction of the surface area that is not covered by the coins is closest to :