If n arithmetic means are inserted between 1 and 41 such that the ratio of the first mean and nth mean is 1:6, find the value of n.

In the first hour, a tortoise covered a distance of 10 m, in the second hour 5 m, in the 3rd hour 2.5 m and so on. If it decided to walk infinitely, find the distance it can cover.

There are four numbers. The first three are in G.P. and the last three in A.P. with common difference 6. If the first number is the same as the fourth, find the product of second and third numbers.

Mukul has earned as an average of 4,200 dollars for the first eleven months of the year. If he justifies his staying in the US on the basis of his ability to earn at least 5000 dollars per month for the entire year, then how much should he earn (in dollars) in the last month to achieve his required average for the whole year?

The average of x, y and z is 45. x is as much more than the average as y is less than the average. Find the value of z.

In a class, the average marks of 40 students were calculated to be 52.15. It was later discovered that the marks of a student were taken to be 49, instead of 85. Find the real average of the class.

In 40 overs game, in first 20 overs of a game of cricket, the run rate was only 5. What should be the run rate for the remaining overs so that the total score reaches 300?

The day before yesterday, I was 25 years old, and next year I will turn 28. How is it possible?

How many seconds in 10 years?

On what dates of April, 2001 did Wednesday fall?

In a year, Holi was enjoyed on 6th March 9 AM and Deepawali was celebrated on 11th November 8 PM. The total time interval (in hours) between the two was?

The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much does the clock gain or lose in 12 hours?

A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?

A watch which gains uniformly is 5 min, slow at 8 o'clock in the morning on Sunday and it is 5 min 48 sec fast at 8 p.m on following Sunday. When was it correct?

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

Study the following information carefully to answer the given questions.

Eight friends M, N, O, P, U, V, W and X are sitting in two circles in such a manner that each member of the inner circle sits exactly opposite to the member of the outer circle. The members sitting in the outer circle are U, V, W and X and all of them are facing towards the centre while the members of the inner circle are M, N, O and P and they are facing away from the centre. Each of them likes a different colour, viz Red, Yellow, Blue, Green, White, Black, Orange and Purple, but-not necessarily in the same order. P likes neither Yellow nor White and faces W, who likes neither Black nor Purple. The person who likes Orange faces the person who likes Red. M, who likes Green, faces the immediate neighbour of the person who likes Blue.

W sits second to the left of X. The persons who like White and Red are in separate circles. The person who likes Black sits on the immediate left of X. V, who does not like Blue, does not face M.

The persons who like Black and Purple are immediate neighbours, and one of them faces N, who likes Yellow. The persons who like Orange and Green sit in the same circle but they are not immediate neighbours.

Which of the following colours does U like?

Study the following information carefully to answer the given questions.

Eight friends M, N, O, P, U, V, W and X are sitting in two circles in such a manner that each member of the inner circle sits exactly opposite to the member of the outer circle. The members sitting in the outer circle are U, V, W and X and all of them are facing towards the centre while the members of the inner circle are M, N, O and P and they are facing away from the centre. Each of them likes a different colour, viz Red, Yellow, Blue, Green, White, Black, Orange and Purple, but-not necessarily in the same order. P likes neither Yellow nor White and faces W, who likes neither Black nor Purple. The person who likes Orange faces the person who likes Red. M, who likes Green, faces the immediate neighbour of the person who likes Blue.

W sits second to the left of X. The persons who like White and Red are in separate circles. The person who likes Black sits on the immediate left of X. V, who does not like Blue, does not face M.

The persons who like Black and Purple are immediate neighbours, and one of them faces N, who likes Yellow. The persons who like Orange and Green sit in the same circle but they are not immediate neighbours.

Who among the following likes White?

Study the following information carefully to answer the given questions.

Eight friends M, N, O, P, U, V, W and X are sitting in two circles in such a manner that each member of the inner circle sits exactly opposite to the member of the outer circle. The members sitting in the outer circle are U, V, W and X and all of them are facing towards the centre while the members of the inner circle are M, N, O and P and they are facing away from the centre. Each of them likes a different colour, viz Red, Yellow, Blue, Green, White, Black, Orange and Purple, but-not necessarily in the same order. P likes neither Yellow nor White and faces W, who likes neither Black nor Purple. The person who likes Orange faces the person who likes Red. M, who likes Green, faces the immediate neighbour of the person who likes Blue.

W sits second to the left of X. The persons who like White and Red are in separate circles. The person who likes Black sits on the immediate left of X. V, who does not like Blue, does not face M.

The persons who like Black and Purple are immediate neighbours, and one of them faces N, who likes Yellow. The persons who like Orange and Green sit in the same circle but they are not immediate neighbours.

Who among the following does V face?

Study the following information carefully to answer the given questions.

Eight friends M, N, O, P, U, V, W and X are sitting in two circles in such a manner that each member of the inner circle sits exactly opposite to the member of the outer circle. The members sitting in the outer circle are U, V, W and X and all of them are facing towards the centre while the members of the inner circle are M, N, O and P and they are facing away from the centre. Each of them likes a different colour, viz Red, Yellow, Blue, Green, White, Black, Orange and Purple, but-not necessarily in the same order. P likes neither Yellow nor White and faces W, who likes neither Black nor Purple. The person who likes Orange faces the person who likes Red. M, who likes Green, faces the immediate neighbour of the person who likes Blue.

W sits second to the left of X. The persons who like White and Red are in separate circles. The person who likes Black sits on the immediate left of X. V, who does not like Blue, does not face M.

The persons who like Black and Purple are immediate neighbours, and one of them faces N, who likes Yellow. The persons who like Orange and Green sit in the same circle but they are not immediate neighbours.

In a certain way if ‘M’ is related to ‘Green’ and ‘P’ is related to ‘Orange’, then which of the following is ‘N’ related to?

Study the following information carefully to answer the given questions.

Eight people P, Q, R, S, T, U, V and W are sitting in a row of chairs facing South. Each of them is drinking a different beverage – Tea, Coffee, Juice, Mineral Water, Lemonade, Cola, Coconut Water and Milk, but not necessarily in the same order. Q is sitting second to the left of U. The person drinking milk is an immediate neighbour of U. Only one person sits between the person drinking mineral water and P. The person drinking coffee is on the immediate right of the person drinking mineral water. W is second to the right of U. S is drinking milk. R and T are immediate neighbours. Neither R nor T is drinking mineral water. The person drinking lemonade is on the immediate left of Q. The person drinking cola is at the extreme East. The person drinking coffee is second at the extreme West. The person drinking coconut water is an immediate neighbour of the person drinking mineral water. R is in the sixth position to the left of the person drinking tea at the extreme West.

Who is second to the left of P?

Study the following information carefully to answer the given questions.

Eight people P, Q, R, S, T, U, V and W are sitting in a row of chairs facing South. Each of them is drinking a different beverage – Tea, Coffee, Juice, Mineral Water, Lemonade, Cola, Coconut Water and Milk, but not necessarily in the same order. Q is sitting second to the left of U. The person drinking milk is an immediate neighbour of U. Only one person sits between the person drinking mineral water and P. The person drinking coffee is on the immediate right of the person drinking mineral water. W is second to the right of U. S is drinking milk. R and T are immediate neighbours. Neither R nor T is drinking mineral water. The person drinking lemonade is on the immediate left of Q. The person drinking cola is at the extreme East. The person drinking coffee is second at the extreme West. The person drinking coconut water is an immediate neighbour of the person drinking mineral water. R is in the sixth position to the left of the person drinking tea at the extreme West.

What is the position of V with respect to the person drinking milk?

Study the following information carefully to answer the given questions.

Eight people P, Q, R, S, T, U, V and W are sitting in a row of chairs facing South. Each of them is drinking a different beverage – Tea, Coffee, Juice, Mineral Water, Lemonade, Cola, Coconut Water and Milk, but not necessarily in the same order. Q is sitting second to the left of U. The person drinking milk is an immediate neighbour of U. Only one person sits between the person drinking mineral water and P. The person drinking coffee is on the immediate right of the person drinking mineral water. W is second to the right of U. S is drinking milk. R and T are immediate neighbours. Neither R nor T is drinking mineral water. The person drinking lemonade is on the immediate left of Q. The person drinking cola is at the extreme East. The person drinking coffee is second at the extreme West. The person drinking coconut water is an immediate neighbour of the person drinking mineral water. R is in the sixth position to the left of the person drinking tea at the extreme West.

Who among the following is drinking coconut water?

Study the following information carefully to answer the given questions.

Eight people P, Q, R, S, T, U, V and W are sitting in a row of chairs facing South. Each of them is drinking a different beverage – Tea, Coffee, Juice, Mineral Water, Lemonade, Cola, Coconut Water and Milk, but not necessarily in the same order. Q is sitting second to the left of U. The person drinking milk is an immediate neighbour of U. Only one person sits between the person drinking mineral water and P. The person drinking coffee is on the immediate right of the person drinking mineral water. W is second to the right of U. S is drinking milk. R and T are immediate neighbours. Neither R nor T is drinking mineral water. The person drinking lemonade is on the immediate left of Q. The person drinking cola is at the extreme East. The person drinking coffee is second at the extreme West. The person drinking coconut water is an immediate neighbour of the person drinking mineral water. R is in the sixth position to the left of the person drinking tea at the extreme West.

Three of the following four are alike in a certain way based on the given arrangement and hence form a group. Which of the following does not belong to the group?

The following data is about the organization of the Nimbu Paani Cup. The event was jointly organized by the cricketing boards of India, Pakistan and Sri Lanka. The event was held between 01-Mar and 31-Mar.

Inflow = Outflow = Rs 120 cr

People Resources Involved:

Profits among Sri Lanka, Pakistan and India Cricket boards are split in the ratio 1:2:3. The Board of Control for cricket in India (BCCI) pays a tax of 30%. Find the post-tax profit of BCCI.

The following data is about the organization of the Nimbu Paani Cup. The event was jointly organized by the cricketing boards of India, Pakistan and Sri Lanka. The event was held between 01-Mar and 31-Mar.

Inflow = Outflow = Rs 120 cr

People Resources Involved:

If 25% of operational costs can be attributed to security, then what is the average cost of a security personnel (Lakh)?

The following data is about the organization of the Nimbu Paani Cup. The event was jointly organized by the cricketing boards of India, Pakistan and Sri Lanka. The event was held between 01-Mar and 31-Mar.

Inflow = Outflow = Rs 120 cr

People Resources Involved:

What was the average realization per spectator in the course of the games? (Assuming no overlaps of spectators)

The following data is about the organization of the Nimbu Paani Cup. The event was jointly organized by the cricketing boards of India, Pakistan and Sri Lanka. The event was held between 01-Mar and 31-Mar.

Inflow = Outflow = Rs 120 cr

People Resources Involved:

Volunteers had been given tickets at subsidized rates of Rs 50. If they were charged the rates of 300, ticket sales would have changed by

The percentage distribution of households by household size and the average sizes of household in.

All India Rural and Urban areas.

Urban areas classified as per population size are presented below.

In rural areas, which one of the following sizes of the households is the highest in number?

The percentage distribution of households by household size and the average sizes of household in.

All India Rural and Urban areas.

Urban areas classified as per population size are presented below.

In urban areas, among the households of different sizes, what is the percentage of households of size 5 or less?

The percentage distribution of households by household size and the average sizes of household in.

All India Rural and Urban areas.

Urban areas classified as per population size are presented below.

In rural areas, per 100 households, there were 31 households of size:

The percentage distribution of households by household size and the average sizes of household in.

All India Rural and Urban areas.

Urban areas classified as per population size are presented below.

As the urban population of towns increase, the average household size

(A) If the data in statement I alone is sufficient to answer the question.

(B) If the data in statement II alone is sufficient to answer the question.

(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

(D) If the data given in both I and II together are not sufficient to answer the question.

(E) If the data in both the statements I and II together are necessary to answer the question.

What is the time that Kirti took to reach her destination?

I. Shweta took 45 minutes to reach the same destination.

II. The ratio between the speeds of Kirti and Shweta is 9: 5.

(A) If the data in statement I alone is sufficient to answer the question.

(B) If the data in statement II alone is sufficient to answer the question.

(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

(D) If the data given in both I and II together are not sufficient to answer the question.

(E) If the data in both the statements I and II together are necessary to answer the question.

A man borrowed a total sum of Rs 24000 from two moneylenders. For one loan, he paid interest at 6 % p.a. and for the other 4% p.a. How much money did he borrow at each rate?

I. The sum of interests after 1 year was Rs 5434

II. The interest on one sum was twice that on the other.

(A) If the data in statement I alone is sufficient to answer the question.

(B) If the data in statement II alone is sufficient to answer the question.

(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

(D) If the data given in both I and II together are not sufficient to answer the question.

(E) If the data in both the statements I and II together are necessary to answer the question.

How many children do the group contains?

I. With that total age of all the children in the group to be 240 years, the average age is 15 years.

II. The total age of all the children in the group and the teacher is 264 years. The average age of the children is 5 less than the age of teacher.

(A) If the data in statement I alone is sufficient to answer the question.

(B) If the data in statement II alone is sufficient to answer the question.

(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

(D) If the data given in both I and II together are not sufficient to answer the question.

(E) If the data in both the statements I and II together are necessary to answer the question.

What is the total cost of painting a conical flask at the rate of 20 Rs per square metre?

I. The diameter and the slant height of the flask are 14 m and 12 m respectively

II. The area of the base of flask is 526 sq. m and its height is 9 m.

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

(A) if x > y

(B) if x > y

(C) if x < y

(D) if x < y

(E) if x= y or relation cannot be established between ‘x’ and ‘y’.

I. 3 /√𝑥 + 4 /√𝑥 = √𝑥

II. y ³ – ((7) ²/ √𝑦) = 0

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

(A) if x > y

(B) if x > y

(C) if x < y

(D) if x < y

(E) if x= y or relation cannot be established between ‘x’ and ‘y’.

I.√𝑥 – √5 /√𝑥 = 0

II. y3 – 5 ^{( 3/ 2 )} = 0

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

(A) if x > y

(B) if x > y

(C) if x < y

(D) if x < y

(E) if x= y or relation cannot be established between ‘x’ and ‘y’.

I. 15/√𝑥 + 9/√𝑥 = 11√𝑥

II. √𝑦/4 + 5√𝑦/12 = 1 /√y

3x + 4|y| = 33. How many integer values of (x, y) are possible?

The figure above shows a right circular cylinder with diameter 6 and height 9. If point. O is the center of the top of the cylinder and B lies on the circumference of the bottom of the cylinder, what is the straight-line distance between O and B?

Lengths of three perpendiculars from a point inside an equilateral triangle on the three sides being 16 cm, 25 cm and 28 cm, the area of the triangle (in cm22) will be.

ABCD is a cyclic quadrilateral and AB is the diameter of the circle. If ∠CAB = 48 °, then what is the value (in degrees) of ∠ADC?

In the given diagram O is the center of the circle and CD is a tangent. ∠CAB and ∠ACD are supplementary to each other ∠OAC = 30°. Find the value of ∠OCB.

Find the value of log₉ 59049

If x, y and z are the sides of a right angled triangle, where ‘z’ is the hypotenuse, then find the value of (1/log_(x+z) y) + (1/log_(x-z) y)

Find the value of log₂ 2 + log₂ 2² + log₂ 2³ + ........ + log₂ 2ⁿ.

If log5 16, log5 (3x-4), log5 (3x+97/16) are in arithmetic progression, then x is

In a swimming pool measuring 90 m x 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m cube, What will be the rise in water level?

If the slant height of a right pyramid with square base is 4 metre and the total slant surface of the pyramid is 12 square metre, then what is the ratio of total slant surface and area of the base?

The base of a right prism is a quadrilateral ABCD, given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and ∠DAB = 90°, If the volume of the prism be 2070 cm³, then what is the area of the lateral surface?

18 cylindrical water bottles with height same as that of the radius are emptied into a spherical earthen pot. The bottles fill half of the initially empty earthen pot. Find the ratio of the radius of the cylinder and that of the pot?

In what ratio should a coffee blend containing coffee and chicory in the ratio 3:7 and another blend with coffee to chicory ratio as 2:3 be mixed so that the resultant blend will have a coffee to chicory ratio of 7:13?

From a tank of petrol, which contains 200 liters of petrol, the seller replaces each time with kerosene when he sells 40 liters of petrol (or mixture). Every time he sells out only 40 liters of petrol (pure or impure). After replacing the petrol with kerosene 4th time, the total amount of kerosene in the mixture is

There are 90 litres Castrol and 150 litres CRB mobile oil. The price of Castrol is Rs.80 per litres and the price of CRB is Rs.75 per litre. Equal amounts of Castrol and CRB are taken out and then CRB is poured in the vessel of Castrol and Castrol is poured out in the vessel of CRB. Now the rate of both the mixtures is same. What is the amount of mobile oil taken out from each of the vessel?

Two vessels have equal volumes of pure alcohol and Pepsi. A bartender is mixing the drinks. He takes half the volume of the first vessel containing alcohol and transfers it to the second vessel containing Pepsi. He now transfers ½ of the resultant solution from the second vessel to the first. He repeats the process once more transferring always ½ of the

Resultant solution to the other vessel. Find the fractional volume of alcohol in the first container?

Find the number of triangles in the given figure.

Find the minimum number of straight lines required to make the given figure.

How many dots are there on the dice face opposite the one with three dots?

Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.