The sum of the digits of a number N is 23. The remainder when N is divided by 11 is 7. What is the remainder when N is divided by 33?

What is the remainder when (13¹⁰⁰ + 17¹⁰⁰) is divided by 25?

A number when divided by 18 leaves a remainder 7. The same number when divided by 12 leaves a remainder n. How many values can n take?

4, 18, 85, 336, 1005,?

9, 265, 393, 457, 489 ?

7, 17, 35, 63, 103, ?

40, 82, 249, 1250, ?

Mr. X is a computer programmer. He is assigned three jobs for which time allotted is in the ratio of 5:4:2 (jobs need to be done individually). But due to some technical issue, 10% of the time allotted for each job gets wasted. Thereafter, owing to the lack of interest, he invests only 40%, 30%, 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time allotted is the time invested by X?

A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is reduced onto sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closest to:

The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls?

2/5th of the voters promise to vote for A and the rest promised to vote for B. Of these, on the last day 15% of the voters went back of their promise to vote for A and 25% of voters went back of their promise to vote for B, and A lost by 200 votes. Then, the total number of voters is:

Find the sum of all the numbers that can be formed with the digits 2, 3, 4, and 5 taken all at a time.

A Tea Party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. 4 Persons wish to sit on one particular and 2 on the other side. How many arrangements are possible?

Sum of three Natural numbers a, b and c is 10. How many ordered triplets (a, b, c) exist?

In how many ways 11 identical toys are placed in 3 distinct boxes such that no box is empty?

A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right?

Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow. When it actually rains, the weatherman correctly forecasts rain 9090 of the time. When it doesn't rain, he incorrectly forecasts rain 1010 of the time. What is the probability that it will rain on the day of Marie's wedding?

Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?

In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?

A father tells his eldest son, “I am thrice as old as your youngest sister and when I was as old as you, you were as old as your youngest sister.” If the youngest sister is 17 years old, how many years ago was her eldest brother born?

When Arthur is as old as Hailey he will be five times as old as Clarke is now. By then, Clarke will be eight times older than Arthur is now. The combined age of Hailey and Arthur is 100 years. How old is Clarke?

If square of Shruthi’s age is added to Sham’s age, the sum is 62, but if the square of Sham’s age is added to Shruthi’s age, the sum is 176. What is Shruthi’s age?

Pooja told Narmadha, “I am four times as old as you were when I was your present age and also I am 9 years older than you”. What is Pooja’s age?

An automobile agency launched a scheme that if a customer purchases two Jabaaj Discover bikes, one extra Jabaaj Discover will be free and if he purchases 3 Jabaaj

Pulser he will get one extra Jabaaj Pulser free. If the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be Rs.67500 and Rs.232500 respectively and if a customer purchases 2

bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser availing as per scheme 1 bike free of each category, then at what price these bikes should be sold so that the agency can get an overall profit of 17.5%

A and B purchased a radio each for the same price and both marked-up their respective radios by the same amount. A gave a discount of Rs.20 followed by another discount of 20% on the reduced price, while B gave a discount of 20% followed by a discount of Rs.20. If A's profit percentage is equal to thrice of B's loss percentage, What is the profit (in Rs.) of A on his radio?

An article costing Rs.20 was marked 25% above the cost price. After two successive discounts of the same percentage, the customer now pays Rs.20.25. What would be the percentage change in profit had the price been increased by the same percentage twice successively instead of being reduced?

A company instead of raising the mark-up by 20% discounted the cost price by 20%, while stitching the price tag on its product. Further the company offers a discount of 6.25% to its customers. In this process company incurs a loss of Rs.37.5 on a single article. What is the selling price of that article?

A string of numbers is given as input. The further steps given are obtained by applying certain logic. Each step is a resultant of previous step only. Study the following information carefully and answer the questions given below it.

What is sum of digits of lowest numbers obtained in step III?

A string of numbers is given as input. The further steps given are obtained by applying certain logic. Each step is a resultant of previous step only. Study the following information carefully and answer the questions given below it.

Which of the following number is second lowest in step I?

A string of numbers is given as input. The further steps given are obtained by applying certain logic. Each step is a resultant of previous step only. Study the following information carefully and answer the questions given below it.

What is the difference of square of number in step II?

Study the following information carefully and answer the below questions.

Four Teams – Team Red, Team Blue, Team Green and Team Orange – of three members each, have to be created

such that they satisfy the following conditions:

· S and U have to be together.

· A Team cannot have all three members having a common domain of experience.

· Team Red includes W and Y.

· The total “Web development” experience in Team Blue is 8 years.

· The total experience of one team is 27, which is highest among all teams and Team Orange has total experience of 17 years, which is least among all teams. The other two teams have different total years of experience.

· None of the members in Team Green have any experience in Data Science.

· If P is in a team, then U cannot be in the same team.

What is the total experience of all employees in Healthcare management of Team Orange?

P is the son of Q while Q and R are the sisters to one another. T is the mother of R. If S is the son of T, which of the following statements is correct?

If Manu says, “Asif’s father Radhi is the only son of my father-in-law Maran”, then how is Binzy, who is the sister of Asif, related to Maran?

Read the information carefully and answer the following questions:

P + Q means P is the mother of Q.

P × Q means P is the father of Q.

P $ Q means P is the wife of Q.

P % Q means P is the sister of Q.

P ÷ Q means P is the son of Q.

P # Q means P is the husband of Q.

What should come in place of question mark to establish that D is son-in-law of B in the expression ‘A % B × C? D × E’

Read the information carefully and answer the following questions:

P + Q means P is the mother of Q.

P × Q means P is the father of Q.

P $ Q means P is the wife of Q.

P % Q means P is the sister of Q.

P ÷ Q means P is the son of Q.

P # Q means P is the husband of Q.

What should come in place of question mark to establish that D is son-in-law of B in the expression ‘A % B × C? D × E’

Which of the following option is true if the expression A + B % J × L ÷ K is definitely true?

Three containers P, Q and R have volumes p, q and r respectively; and container P is full of water while the other two are empty. If from container P water is poured into container Q which becomes 1/3rd full, and into container R which becomes half full, how much water is left in container P?

Two vessels contain spirit of 0.6 and 0.8 concentrations. If three litres from the first vessel and four litres from the second vessel are mixed, what will be the ratio of the spirit and the water in the resultant solution?

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 and the latter in turn is equal to 6 times C’s share. How much did A get?

The height of a student is of the same proportion as the square root of his age (between 5 and 17 years). What will be the height of the student after 7 years, if he is 4 feet tall at the age of 9 years?

Rs.5887 is divided between Shyam and Sam, such that Shyam's share at the end of 9 years is equal to Sam's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

The compound interest, interest being compound annually on a certain amount at a certain rate of interest for the 2nd year is Rs.7680 and for the 3rd year is Rs.9216. Find the sum borrowed.

Divide Rs.3364 between A and B, so that A's share at the end of 5 years may equal to B's share at the end of 7 years, the compound interest being at 5 percent. Find the share of A and B.

The SBI lent Rs.1331 to the Tata group at compound interest and got Rs.1728 after 3 years. What is the rate of interest charged if the interest was compounded annually?

(24.99% of 399.995) ÷ ? = (125% of 4.111)²

(√1372 + √959) ÷ √292 × 19.003 =?

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is

4⁶¹+4⁶²+4⁶³+4⁶⁴ is divisible by,

In each question below is statements followed by conclusion. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

1. No Red is Yellow.

2. All Yellow are Blue.

3. All Pink are White.

4. Some Blue are Pink.

Conclusions:

I. No Pink is Red.

II. Some Yellow is not White.

III. Some Pink which are Blue are also Yellow is possibility

IV. No White is Blue is a possibility.

In each question below is statements followed by conclusion. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

1. All Samsung are Apple.

2. No Samsung is Redmi.

3. No Apple is Lenovo.

4. All Lenovo are Oppo.

Conclusions:

I. Some Samsung is Oppo is a possibility.

II. All Redmi is Lenovo is a possibility.

III. No Apple is Oppo.

IV. Some Lenovo is Redmi is a possibility.

In each question below is statements followed by conclusion. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

1. All Ants are Fly.

2. All Fly are Bird.

3. Some Fly are Insect.

4. No Insect is Mosquito.

Conclusions:

I. Some Insects are Ant is a possibility.

II. Some Bird are Mosquito is a possibility.

III. Some Insects are not Fly is a possibility.

IV. All Mosquito are Ant is possibility.

In each question below is statements followed by conclusion. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

1. All Even are Odd.

2. All Composite are Prime.

3. No Odd is Prime.

4. Some Odd are Whole.

Conclusions:

I. All even are not Composite.

II. No Prime is Even.

III. Some Whole are Composite.

IV. All Odd are not Prime.

Three men A, B and C are constructing a wall as follows: On the 1st day A builds 3 feet of the wall, 2nd day B builds 2 feet of the wall, but on the 3rd day C breaks 4 feet of the wall. If they work continuously in the same sequence, in how many days will they be able to make a 10 foot wall?

A alone would take 8 hours more to complete a job than if both A and B worked together. If B worked alone, he would take 4.5 hours more to complete the job than if A and B worked together. What time would they take if both A and B worked together to complete the job?

Tap A can fill a tank in 20 hours, B in 25 hours but tap C can empty the full tank in 30 hours. Starting with A, followed by B and C, each tap opens alternately for one hour period till the tank gets filled up completely. In how many hours the tank will be filled up completely?

A man works twice as fast as a woman. A woman works twice as fast as a boy. If 16 men can complete a job in 12 days, how many days would be required for 32 women and 64 boys together to complete the same job?

City B is located between the cities A and C, dividing the distance in the ratio 2:3. Raju travels from A to B at 20 km/h and B to C at 30 km/h. When he comes back from C, he reaches B at an average speed of 20 km/h and then A at 30 km/h. Then the average speed of his journey is (all in km/h)

The distance between two stations is 425 km. Two trains start simultaneously from the stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/h. If the distance between the two trains after 3 hours of their start is 20 km, find the speed of each train (all in km/h).

Starting from the same point at the same time on a circular track of 624 m, x moves in clockwise direction whereas y and z move in anticlockwise direction. x meets y every 39 seconds while x meets z every 48 seconds. After how much time does y meet z (all in seconds)?

A can beat B by 20 yards in a race of 200 yards. B can beat C by 10 yards in a race of 250 yards. By how many yards can A beat C in a race of 100 yards?