Basic Numeracy

Anita's mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is:

A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each period is:

The monthly average salary paid to all the employees of a company was Rs 5000. The monthly average salary paid to male and female employees was Rs 5200 and Rs 4200 respectively. Then the percentage of males employed in the company is:

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?

There are some nectar-filled flowers on a tree and some bees are hovering on it. If one bee lands on each flower, one bee will be left out. If two bees land on each flower, one flower will be left out. The number of flowers and bees respectively are:

A cylindrical overhead tank of radius 2m and height 7m is to be filled from an underground tank of size 5.5m × 4m × 6m. How much portion of the underground tank is still filled with water after filling the overhead tank completely?

A daily train is to be introduced between station A and station B starting from each at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?

A and B walk around a circular park. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other after 800 a.m. and before 9.30. a.m.?

A piece of tin is in the form of a rectangle having length 12cm and width 8 cm. This is used to construct a closed cube. The side of the cube is:

Ram and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?

30g of sugar was mixed in 180 ml water in a vessel A, 40 g of sugar was mixed in 280 ml of water in vessel B and 20g of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is

The sum of the ages of 5 members comprising a family, 3 years ago, was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby?

A person allows 10% discount for cash payment from the marked price of a toy and still he makes a 10% gain. What is the cost price of the toy which is marked Rs 770?

If R and S are different integers both divisible by 5, then which of the following is not necessarily true?

A selection is to be made for one post of Principal and two posts of Vice-Principal. Amongst the six candidates called for the interview, only two are eligible for the. post of Principal while they all are eligible for the post of Vice Principal. The number of possible combinations of selectees is

In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C; and 10% read all the three magazines. What percentages do not read any magazine?

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful.

Which of the following statements is correct?

In a test, a candidate attempted only 8 questions and secured 50% marks in each of the questions. If he obtained a total of 40% in the test and all question in the test carried equal marks, how many questions were there in the test?

Two equal glasses of same type are respectively 1/3 and ¼ full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?

In a society it is customary for friends of the same sex to hug and for friends met in a party and there were 24 handshakes. Which one among the following numbers indicates the possible number of hugs?

In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?

Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in both English and Mathematics. The number of students who passed finally is

A cow costs more than 4 goats but less than 5 goats. If a goat costs between ₹ 600 and ₹ 800, which of the following is a most valid conclusion?

A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father’s and the mother’s age is 51 years. What is the age of the son?

There are 5 tasks and 5 persons. Task – 1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?

In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

Two pipes A and B can independently fill a tank completely in 20 and 30 minutes respectively. If both the pipes are opened simultaneously, how much time will they take to fill the tank completely?

Between 6 p.m. and 7 p.m. the minute hand of a clock will be ahead of the hour hand by 3 minutes at

An automobiles owner reduced his monthly petrol consumption when the prices went up. The price-consumption relationship is as follows:

If the price goes up to Rs 80 per litre, his expected consumption (in litres) will be:

Two cities A and B are 360km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. What is the average speed of the car?

In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/motorbikes (two wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is

If ABC × DEED = ABCABC; where A, B, C, D and E are different digits. What are the values of D and E?

A students has to put for 2 subjects out of 5 subjects for a course, namely, Commerce, Economics, Statistics, Mathematics I and Mathematics II. Mathematics II can be offered only if Mathematics I is also opted. The number of different combination of two subjects which can be opted is

The monthly incomes of Peter and Paul are in the ratio of 4:3. Their expenses are in the ratio of 3 : 2. If each saves Rs 6,000 at the end of the month, their monthly incomes respectively are (in`)

A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pair by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order?

A group of 630 children is seated in rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible?

Five persons fire bullets at a target at an interval of 6, 7, 8, 9 and 12 seconds respectively. The number of times they would fire the bullets together at the target in an hour is

For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs 5 each, one-third at the rate of Rs 3 each and the rest for Rs 2 each. What was the total amount received?

Two cars start towards each other; from two places A and B which are at a distance of 160 km. They start at the same time 08 :10 AM. If the speeds of the cars are 50km and 30 km per hour respectively, they will meet each other at

A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. If all the three bells ring at the same time at 8 o'clock in the morning, at what other time will they all ring together?

A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden

As per agreement with a bank, a businessman had to refund a loan in some equal instalments without interest. After paying 18 instalments he found that 60 percent of his loan was refunded. How many instalments were there in the agreement?

If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the other

A straight line segment is 36 cm long. Points are to be marked on the line from both the end points. From each end, the first point is at a distance of 1cm from the end, the second point is at a distance of 2 cm from the first point and the third point is at a distance of 3 cm from the second point and soon. If the points on the ends are not counted and the common points are counted as one, what is the number of points?

A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. If he walks at a speed of 6 km/hr., then he reaches the factory 7 mins early. The distance of the factory from his house is

A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?

Out of 120 applications for a post, 70 are male and 80 have a driver's license. What is the ratio between the minimum to maximum number of males having driver's license?

A thief running at 8km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100m ahead of the policeman, then required for the policeman to catch the thief will be

Consider the following diagrams:

x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. Based on the information, the total number of coins in the collection now becomes

In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?

There are five hobby clubs in a college viz., 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?

The tank-full petrol in Arun's motor-cycle lasts for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?

A sum of Rs 700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, what is the least value of the prize?

A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?

Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?

Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

A student on her first 3 tests received an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?

A person has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively

A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day etc., the penalty for each succeeding day being Rs 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?

There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C?

In a group of persons, 70% of the persons are male and 30% of the persons are married. If two-sevenths of the males are married, what fraction of the females is single?

If a bus travels 160km in 4 hours and a train trave1s 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided.
How many females were not in favour the proposal?

A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20m × 15m × 6m. The water of this tank will last for

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided.
How many males were undecided?

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided.
How many females voted for the proposal?