Basic Numeracy

AB and CD are 2-digit numbers, Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8, then what is A + B + C equal to?

What is the sum of all-digit number less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digit is repeated?

What is the sum of all digits which appear in all the integers from 10 to 100?

Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?

Consider the following in respect of prime number p and composite number c.

Which of the statements given above are correct?

In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots?

For any choices of values of X, Y and Z the 6-digit number of the form XYZXYZ is divisible by:

What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF = 1111, then what is the value of A + B + C + D + E + F?

Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

Let x be a positive integer such that 7x + 96 is divisible by x. how many value of x are possible?

What is the number of selections of 10 consecutive things out of 12 things in a circle taken in the clockwise direction?

A number N is formed by writing 9 for 99 times, What is the remainder if N is divided by 13?

What is the remainder if 2192 is divided by 6?

In an examination, the maximum marks for each of the four papers namely P, Q, R and S are 100. Marks scored by the students are in integers. A student can score 99% in n different ways. What is the value of n?

A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, then which one of the following is correct?

If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q) (r + s)?

A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C?

There are three traffic signals. Each signal changes colour from green to red and then form red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colour are time. At 2:00 p.m. they together turn green. At what time will they change to green next, simultaneously?

What is the unit digit in the expansion of $(57242{)}^{9\times 7\times 5\times 3\times 1}$?

How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?

There are four letters and four envelopes and exactly one letter is to be put in exactly one envelop with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements:

Which of the statements given above is/are correct?

A man started from home to 14:30 hours and drove to village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length 1:25 times the first route at a rate twice as fast reaching home at 16:00 hours. As compared to the clock at home, the village clock is

What is the number of numbers of the form XY, where X and Y are distinct non-zero digits?

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number Z, then the sum becomes 165% of the value of z. Which one of the following is correct

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p × q = 2430, then what is the difference between p and q?

The letters A, B, C, D and E are arranged in such a way that there are exactly two letters between A and E. How many such arrangements are possible?

There is a numeric lock which has a 3-digit PIN. The PIN contains digits 1 to 7. There is no repetition of digits. The digits in the PIN from left to right are in decreasing order. Any two digits in the PIN differ by at least 2. How many maximum attempts does one need to find out the PIN with certainty?

24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

On one side of a 1.01 km long road, 101 plants are planted at equal distance from each other. What is the total distance between 5 consecutive plants?

How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?

One non-zero digit, one vowel and one consonant from English-alphabet (in capital) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can generated?

X and Y run a 3 km race along a circular course of length 300 m. Their speeds are in the ratio 3 : 2. If they start together in the same direction, how many times would the first one pass the other (the start-off is not counted as passing)?

A bill for ₹ 1,840 is paid in the denominations of ₹50, ₹20 and ₹10 notes. 50 notes in all are used. Consider the following statements:

Which of the above statements are not correct?

How many seconds in total are there in x weeks, x days, x hours, x minutes and seconds?

Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.

Consider the following statements:

Which of the above statements is/are correct?

In a tournament of Chess having 150 entrants, a players is eliminated whenever he loses a match. It is given that no match results in a tie/draw. How many matches are played in the entire tournament?

Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm:

Which of the above statements is/are correct?

What is the smallest number greater than 1000 that when divided
by anyone of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?

If $15\times 14\times 13\times ...\times 3\times 2\times 1=3^m\times n$ where m and n are positive integers, then what is the maximum value of m?

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more ta D. The number of coins D has now’, is the smallest two-digit number. How many coins does A have in the beginning?

The average weight of A, B C is 40 Kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. what is the average weight of A, B, C, D, E and F?

There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?

There are two containers X and Y. X contains 100ml of milk and y contains 100ml of water. 20ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?

The digits 1 to 9 are arranged in three rows in such a way that each row contains three digits, and the number formed in the second row is twice the number formed in the first row; and the number formed in the third row is thrice the number formed in the first row. Repetition of digits is not allowed. If only three of the four digits 2, 3, 7 and 9 are allowed to use in the first row, how many such combinations are possible to be arranged in the three rows?

There are eight equidistant points on a circle. How many right-angled triangle can be drawn using these points as vertices and taking the diameter as one side of the triangle?

Which number amongst 2⁴⁰, 3²¹, 4¹⁸ and 8¹² is the smallest?

A person X wants to distribute some pens among six children A, B, C, D. E and F. Suppose A gets twice the number of pens received by B, three times that of C. four times that of D. five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?

The increase in the price of a certain item was 25%, And then the price was decreased by 20% and then again increased by 10%, What is the resultant increase in the price?

A, B and C are three places such that there are three different roads from A to B. four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

There are 6 persons arranged in a row. Another person has to shake hands with 3 of them so that he should not shake hands with two consecutive persons. In how many distinct possible combinations can the handshakes take place?

If the price of an article is decreased by 20% and then the new price is increased by 25%, then what is the net change in the price?

Consider the following statements:

Which of the above statements is/are correct?

When a certain number is multiplied by 7, the product entirely comprises ones only (1111…).
What is the smallest such number?

On a chess board, in how many different ways can 6 consecutive square be chosen on the diagonals along a straight path?

From January 1, 2021, the price of petrol (in Rupees per letre) on m^th day of the year is $80+0.1m$, where $m=1,2,3.....,100$and there after remains constant. On the other hand, the price of diesel (in Rupees per litre) on n^th day of 2021 is $69+0.15n$for any n. On which date in the year 2021 are the prices of these two fuels equal?

A cubical vessel of side 1m is filled completely with water. How many millilitres of water is contained in it (neglect thickness of the vessel)?

In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting the entire 90 question, a student got a total of 387 marks. What is the number to incorrect responses?

Using 2, 2, 3, 3, 3, as digits, how many distinct numbers greater than 30000 can be formed?

If 3²⁰¹⁹ is divided by 10, then what is the remainder?

Consider the following multiplication problem:
(PQ) × 3 = RQQ, where P, Q and R are different digits and R ≠ 0.
What is the value of (P + R) + Q?

There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.

Which of the above statements is/are correct?

An amount of money was distributed among A, B and C in the ratio p : q : r

Consider the following statements:

Which of the above statements is/are correct?

Integers are listed from 700 to 1000. In how many integers is the sum of the digits 10?

The number 3798125P369 is divisible by 7. What is the value of the digit P?

A person P asks one of his three friends X as to how much money he had. X replied, “If Y gives me Rs 40, then Y will have half of as much as Z, but if Z gives me @ 40, then three of us will have equal amount.” What is the total amount of money that X, Y and Z have?

Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store, If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the following is correct?

In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys?

Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3.
Let S be their sum.
Which of the following is/are correct?

Select the correct answer using the code given below:

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

Consider the following addition problem:
3P + 4P + PP + PP = RQ2; where P, Q and R are different digits.
What is the arithmetic mean of all such possible sums?

At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other?

A person X from a place A and another person Y from a place B set out at the same time to walk towards each other. The places are, separated by a distance of 15 km. X walks with a uniform speed of 1.5 km/hr and Y walks with a uniform speed of 1 in the first hour, with a uniform speed of 1:25 km/hr in the second hour and with a uniform speed of 1-5 km/hr in the third hour and so on.

Which of the following is/are correct?

Select the correct answer using the code given below

A biology class at high school predictor that a local population of animals will double in size every 12 years. The population at the beginning of the year 2021 was estimated to be 50 animals. If P represents the population after n years, then which one of the following equations represents the model of the class for population?

There are three Points P, Q and R on a straight line such that PQ: OR = 3 : 5. If n is the number of possible values of PQ : PR, then what is n equal to?

A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5^th of the previous height. The ball does not bounce further if the previous height is less than 50 cm. What is the number of times the ball hits the ground before the ball stops bouncing?

P scored 40 marks more than Q in an examination. If Q scored 10% less marks than P, then how much did Q score?

The difference between a 2-digit number and the number obtained by interchanging the positions of the digit is 54.

Consider the following statements:

Which of the above statements is/are correct?

A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5:6:7:8:9:10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?

A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work is further increased by 50%?

A sum of Rs 2,500 is distributed among X, Y and Z in the ratio $\frac{1}{2}:\frac{3}{4}:\frac{5}{6}.$ What is the difference between the maximum share and the minimum share?

In adult population of a city, 40% men and 30% women are married. What is the percentage of married adult population if no man marries more than one woman and no woman marries more than one man; and there are no widows and widowers?

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

Let XYZ be a three-digit number, where (X + Y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by

The recurring decimal representation 1.272727… is equivalent to

A shop owner offers the following discount options on an article to a customer:

Which one of the following is correct?

A digit n > 3 is divisible by 3 but not divisible by 6. Which one of the following is divisible by 4?

Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of q is two times that of P. Let u = m/x and v = n/y. Which one of the following is correct?

A frog tries to come out of a dried well 4.5m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. What is the number of jumps required for the frog to come out of the well?

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?

How many different sums can be formed with the denominations ₹50, ₹100, ₹200, ₹500 and ₹2000 taking at least three denominations at a time?

In a class, there are three groups, A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight for the students of the class?

A car travels from a place X to place Y at an average speed of v km/hr, from Y to X at an average speed of 2v km/hr, again from X to Y at an average speed of 3v km/hr and again from Y to X at an average speed of 4v km/hr. Then the average speed of the car for the entire journey

How many pairs of natural numbers are there such that the difference of whose squares is 63?

What is the largest number among the following?

What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?