Basic Numeracy

How many five-digit prime numbers can be obtained by using all the digit 1, 2, 3, 4 and 5 without repetition of digits?

A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20kg. What is the weight of the empty vessel?

How many zeroes are there at the end of the following product?
$1\times 5\times 10\times 15\times 20\times 25\times 30\times 35\times 40\times 45\times 50\times 55\times 60$

A bottle contains 20 litres of liquid A., 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?

How many different 5-letter words (with or without meaning) can be constructed using all the letters of the word ‘DELHI’ so that each word has to start with D and end with I?

A person X can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?

If 1 litre of water weighs 1kg, then how many cubic millimetres of water will weigh 0.1 gm?

A person bought a car and sold it for Rs 3,00,000. If he incurred a loss of 20%, then how much did he spend to buy the car?

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions $\frac{2}{3},\frac{3}{4},\frac{4}{5}$and $\frac{5}{6}$?

The average score of a batsman after his 50th innings was 46.6. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and B?

A man takes halftime in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?

If you have two straight sticks of length 7.5 feet and 3.25 feet, what is minimum length can you measure?

For what value of n, the sum of digits in the number (10ⁿ + 1) is2?

What is the remainder when $51\times 27\times 35\times 62\times 75$is divided by 100?

As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs 1200. What was the original price of rice per kg.

In the sum
⊗ + 1 ⊗ + 5 ⊗ + ⊗ ⊗ + ⊗ 1 = 1 ⊗ ⊗
For which digit-does the symbol ⊗ stand?

What is the greatest length x such that $3\frac{1}{2}$m and $8\frac{3}{4}$m are integral multiple of x?

One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the reaming page is 195. The torn page contains which of the following numbers?

An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?

Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent `1300 and Rajesh spent `1500. If each racket costs three times a ball does, then what is the price of a racket?

If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

Each face of a cube can be painted in black or white colours, In how many different ways can the cube the painted?

A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52kg. If the weight of the father is 60 kg, then what is the weight of the mother?

The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are

A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have?

If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both went for a swim together, when will they go together next?

When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometres was the runner supposed to run in this event?

The number of times the digit 5 will appear while writing the integers from 1 to 1000 is

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of four parallel lines, is

Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is

A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?

Suppose you have sufficient amount of rupee currency in three denominations: ₹1, ₹10 and ₹50. In how many different ways can you pay a bill of ₹107?

In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?

Raju has 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then

Ena was born 4 years after her parents, marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?

How many triples (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers?

In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?

1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are non-vegetarian.

Select the correct answer using the codes given below:

Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?

In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?

The ratio of a two-digit natural number to a number formed by reversing its digits is 4: 7. The number of such pairs is

Number 136 is added to 5 B 7 and the sum obtained is 7A3, where A and B are integers. It is given that 7A3 is exactly divisible by3. The only possible value of B is

There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?

Consider the following sum:
I + 1I + 2I + I3 + I1 = 21I
In the above sum, I stands for

How many diagonals can be drawn by joining the vertices of an octagon?

While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred’s place is greater than the digit at ten’s place, and the digit at ten’s place is greater than the digit at unit’s place?

For a sports meet, a winners' stand comprising three wooden blocks is in the following form:

There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how different ways can the winners’ stand be painted?

Twelve equal squares are placed to fit in a rectangle of diagonal 5cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?

A person bought a refrigerator worth ₹22,800 with 12.5% interest compounded yearly. At the end of first year he paid ₹8,650 and at the end of second year ₹9,125. How much will he have to pay at the end of third year to clear the debt?

If X is between –3 and –1, and Y is between – 1 and 1, then X² – Y² is in between which of the following?

A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first number itself by 198, then the difference between the first and last digits is

A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

X and Y are natural numbers other than 1, and Y is greater than X Which of the following represents the largest number?

A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?

A bookseller sold 'a' number of Geography textbooks at the rate of ` x per book, 'a + 2' number of History textbooks at the rate of `(x + 2) per book and ‘a – 2’ number of mathematics text books at the rate of (x –2) per book. What is his total sale in

Two persons, A and B. are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

A shopkeeper sells an article at Rs 40 and gets X% profit. However, when he sells it at Rs 20, he faces same percentage of loss. What is the original cost of the article?

If 2 boys and 2 girls are to be arranged in a row so that the girls are not next to each other, how many possible arrangements are there?

In a city 12% of households earn less than `30,000 per year, 6% households earn more than Rs 2,00,000 per year, 22% households earn more than Rs 1,00,000 per year and 990 households earn between Rs 30,000 and Rs 1,00,000 per year. How many households earn between Rs 1,00,000 and Rs 2,00,000 per year?

The monthly incomes of X and Y are in the ratio of 4: 3 and their monthly expenses are in the ratio of 3 : 2. However, each saves Rs 6,000 per month. What is their total monthly income?

If there is a policy that 1/3rd of a population of a community has migrated every year from one place to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?

Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall, 8 m from the other wall and 9 m from the point P. How many meters is the fly from the ceiling?

P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?

What is the total number of digits printed, if a book containing 150 pages is to be numbered from to 150

There are thirteen 2-digit consecutive odd numbers. If 39 is the mean of the first five such numbers, then what is the mean of all the thirteen numbers?

The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4 : 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?

A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?

How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?

Suppose the average weight of 9 persons is 50kg. The average weight of the first 5 persons is 45 kg, whereas the average weight of the last 5 persons is 55 kg, Then the weight of the 5th person will be

There are certain 2-digit numbers. The difference between the number and the one obtained on reversing it is always 27. How many such maximum 2-digit numbers are there?

A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?

Certain 3-digit numbers have the following characteristics:

1. All the three digits are different.
2. The number is divisible by 7.
3. The number on reversing the digits is also divisible by 7.

How many such 3-digit numbers are there?

There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to

If for a sample data - Mean < Median < Mode, then the distribution is

There are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. What is the maximum number of rectangles and squares that can be formed?

A clock strikes, once at 1o'clock, twice at 2o'clock and thrice at 3 o'clock, and soon. If it takes 12 seconds to strike at 5 o'clock, what is the time taken by it to strike at 10 o'clock?

There are three pillars, X, Y and-Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance. A climbs on X by 6cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of the requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?

The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?

Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal's position if he agreed?

A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour?

A round archery target of diameter 1 m is marked with four scoring regions from the centre outwards as red, blue, yellow and white. The radius of the red band is 0.20 m. The width of all the remaining bands is equal. If archers throw arrows towards the target, what is the probability, that the arrows fall in the red region of the archery target?

The average monthly income of a person in a certain family 5 is ₹ 10,000. What will be the average monthly income of a person in the same family if the income of one person increased by ₹ 1,20,000 per year?

The total emoluments of two persons are the same, but one gets allowances to the extent of 65% of his basic pay and the other gets allowances to the extent of 80% of his basic pay. The ratio of the basic pay of the former to the basic pay of the latter is:

AB is a vertical trunk of a huge tree with A being the point where the base of the trunk touches the ground. Due to a cyclone, the trunk has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the trunk at C. If the end of the broken part B touches the ground at D which is at a distance of 5 meters from A, then the original height of the trunk is:

In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With the additional contribution of 2 by one students only, the total collection is 443. Then how many students are there in the class?

There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per day out of which 5% are unfit for sale. In how many days will the order be completed?

An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?

In a race, a competitor has to collect 6 apples which are kept a straight line on a track and a bucket is placed at the beginning of the track which is a starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run if the bucket is 5 meters from the first apple and all other apples are placed 3 meters apart?

How many numbers are there between 100 and 300 which, either begin with or end with 2?

There are five hobby clubs in a college —photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

W can do 25% of a work-in 30days, X can do 1/4 of the 110. work in 10 days, Y can do 40% of the work in 40 days and Z. can do 1/3 of the work in 13 days. Who will complete the work first?

In a class, there are 18 very tall boys. If these constitute three fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

In a question paper there are five questions to be attempted and answer to each question has two choices—True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence. For this to happen the maximum number of candidates is: