Q1.
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago?
Q2.
An institute organized a fete and 1/5 of the girls and 1/8 of the boys participated in it. What fraction of the total number of students took part in the fete?
Q3.
A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was
Q4.
A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards is 133, how many cards does B have?
Q5.
A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is
Q6.
A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is
Q7.
A girl counted on the fingers of her left hand: thumb 1, index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction to ring finger 6, middle finger 7, and so on. On which finger did she finish counting 1994?
Q8.
A man has Rs. 480 in one-rupee, five-rupee and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes?
Q9.
What is the product of all the numbers on the dial of a telephone?
Q10.
A is 3 years older than B and 3 years younger than C, while B and D are twins. How many years older is C than D?
Q11.
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game, the member is out of the tournament. There are no ties. What is the minimum number of matches needed to determine the winner?
Q12.
In a garden, there are 10 rows and 12 columns of mango trees. The distance between consecutive trees is 2 metres, and one metre is left from every side of the garden boundary. What is the length of the garden?
Q13.
Twelve-year-old Manick is three times as old as his brother Rahul. How old will Manick be when he is twice as old as Rahul?
Q14.
A tailor had a number of short fabric rolls to cut. He cut each roll of equal length into 10 pieces, making cuts at the rate of 45 cuts per minute. How many rolls would be cut in 24 minutes?
Q15.
In a class of 60 students, the number of boys and girls participating in annual sports is in the ratio 3:2. The number of girls not participating is 5 more than the number of boys not participating. If 15 boys are participating, how many girls are there in the class?
Q16.
There are deer and peacocks in a zoo. Counting heads gives 80, and counting their legs gives 200. How many peacocks are there?
Q17.
A man has 20 black socks and 20 brown socks in a drawer. He draws socks in the dark. How many socks must he draw to be certain of getting a matching pair?
Q18.
A motorist knows four routes from Bristol to Birmingham, three from Birmingham to Sheffield, and two from Sheffield to Carlisle. How many routes does he know from Bristol to Carlisle using these stages?
Q19.
Mac has £3 more than Ken. Ken then wins on the horses and trebles his money, so he now has £2 more than the original amount the two boys had together. How much did they have before Ken's win?
Q20.
In a class, 18 boys are over 160 cm tall. These constitute three-fourths of the boys, and the total number of boys is two-thirds of the total number of students. How many girls are in the class?
Q21.
A father is now three times as old as his son. Five years ago, the father was four times as old as the son. What is the son's present age?
Q22.
A waiter receives salary and tips. During one week, his tips were 5/4 of his salary. What fraction of his income came from tips?
Q23.
If you write all the integers from 1 to 100, how many times do you write the digit 3?
Q24.
If 100 cats kill 100 mice in 100 days, how many days will 4 cats take to kill 4 mice at the same constant rate?
Q25.
Five bells begin tolling together and thereafter toll at intervals of 6, 5, 7, 10 and 12 seconds respectively. How many more times will they toll together in one hour, excluding the start?
Q26.
A bus starts from city X with women passengers numbering half the men. In city Y, 10 men leave and five women enter; the numbers of men and women then become equal. How many passengers initially boarded the bus?
Q27.
A, B, C, D and E play cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment; while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E. B and D together have the same number of cards as A and C together. Altogether they have 150 cards. How many cards has C got?
Q28.
A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether?
Q29.
In a city, 40% of adults are illiterate while 85% of children are literate. If the ratio of adults to children is 2:3, what percent of the population is literate?
Q30.
A is three times as old as B. C was twice as old as A four years ago. In four years, A will be 31. What are the present ages of B and C?
Q31.
Today is Varun's birthday. One year from today, he will be twice as old as he was 12 years ago. How old is Varun today?
Q32.
A bird shooter was asked how many birds he had in a bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds were in the bag?
Q33.
Mr. Johnson was to earn £300 and a free holiday for seven weeks of work. He worked only four weeks and earned £30 and a free holiday. What was the value of the holiday?
Q34.
What is the smallest number of ducks that could swim in this formation: two ducks in front of a duck, two ducks behind a duck, and a duck between two ducks?
Q35.
Three friends had dinner at a restaurant. When the bill arrived, Amita paid 2/3 as much as Veena, and Veena paid 1/2 as much as Tanya. What fraction of the bill did Veena pay?
Q36.
In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true?
Q37.
In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true?
Q38.
A certain number of horses and an equal number of men are going somewhere. Half of the men are riding horses, and the remaining men are walking alongside, leading their horses. If the number of legs on the ground is 70, how many horses are there?
Q39.
Ravi's brother is 3 years older than Ravi. Ravi's father was 28 when his sister was born, and Ravi's mother was 26 when Ravi was born. If the sister was 4 years old when Ravi's brother was born, what were his father's and mother's ages when his brother was born?
Q40.
The number of boys in a class is three times the number of girls. Which of the following numbers cannot represent the total number of children in the class?
Q41.
A shepherd had 17 sheep. All but nine died. How many sheep were left alive?
Q42.
In a family, the father took 1/4 of a cake and had three times as much as each of the other family members. What was the total number of family members?
Q43.
In three coloured boxes, red, green and blue, 108 balls are placed. The green and red boxes together have twice as many balls as the blue box, and the blue box has twice as many as the red box. How many balls are in the green box?
Q44.
The total number of digits used in numbering the pages of a book having 366 pages is
Q45.
In a family, each daughter has the same number of brothers as she has sisters, and each son has twice as many sisters as he has brothers. How many sons are there in the family?
Q46.
At a dinner party, every two guests used one bowl of rice, every three guests used one bowl of dal, and every four guests used one bowl of meat. There were altogether 65 dishes. How many guests were present?
Q47.
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush, who is 10 years old. At what age did the father marry?
Q48.
A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?
Q49.
A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?
Q50.
David enters an elevator on the 11th floor and travels upward at 57 floors per minute. At the same time, Albert enters an elevator on the 51st floor and travels downward at 63 floors per minute. At which floor will their paths cross?
Q51.
I have some sweets to distribute. If I make packs of 2, 3 or 4 sweets, one sweet remains. If I make packs of 5, none remains. What is the smallest number of sweets possible?
Q52.
If a clock takes seven seconds to strike seven, how long will it take to strike ten?
Q53.
In a group of cows and hens, the number of legs is 14 more than twice the number of heads. How many cows are there?
Q54.
A father tells his son, "I was your present age when you were born." If the father is 36 now, how old was the boy five years ago?
Q55.
A fires 5 shots for every 3 shots fired by B. A kills a bird once in every 3 shots, while B kills once in every 2 shots. When B has missed 27 times, how many birds has A killed?
Q56.
In a class, 3/5 of the students are girls and the rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what fraction of all the students is present?
Q57.
In a family, a couple has a son and a daughter. The father is three times the age of his daughter, and the son is half the age of his mother. The wife is 9 years younger than her husband, and the brother is seven years older than his sister. What is the mother's age?
Q58.
If a sheet of paper 1 mm thick is folded in half 50 times, so that each fold doubles its thickness, approximately how thick would the pile be?
Q59.
The first bunch of bananas has one-fourth again as many bananas as the second bunch. If the second bunch has 3 bananas fewer than the first bunch, how many bananas are in the first bunch?
Q60.
Mr. X defines a number as "connected with 6" if it is divisible by 6, its digit sum is 6, or it contains the digit 6. How many integers from 1 to 60 inclusive are not connected with 6?
Q61.
Find the number which, when added to itself 13 times, gives 112.
Q62.
Aruna cut a cake into two halves and cut one half into smaller pieces of equal size. Each small piece weighs 20 grams. If she has seven pieces of cake in all, how heavy was the original cake?
Q63.
There are 324 coins of 20 paise and 25 paise totaling Rs. 71. How many are 25-paise coins?
Q64.
A player holds 13 cards from four suits, seven black and six red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold?
Q65.
A city taxi fare consists of a fixed charge plus a distance charge. A 16-km journey costs Rs. 156 and a 24-km journey costs Rs. 204. What is the fare for 30 km?
Q66.
If two out of three ready-made shirts require sleeve alterations and four out of five require body alterations, how many alterations are required for 60 shirts in total?
Q67.
At the end of a business conference, ten people all shake hands with each other once. How many handshakes are there altogether?
Q68.
After distributing sweets equally among 25 children, 8 sweets remain. Had there been 28 children, 22 sweets would have been left after an equal distribution. What was the total number of sweets?
Q69.
A group of 1200 people consisting of captains and soldiers travels in a train. There is one captain for every 15 soldiers. How many captains are there?
Q70.
In a caravan, there are 50 hens, 45 goats, 8 camels and some keepers. If the total number of feet exceeds the number of heads by 224, how many keepers are there?
Q71.
A monkey climbs 30 feet at the start of each hour and slides back 20 feet before the start of the next hour. Starting at 8:00 a.m., when will it first reach a flag 120 feet high?
Q72.
A two-digit number has digits that add to 11. When 27 is added, the digits interchange. What is the number?
Q73.
A businessman earns Re. 1 on the first day. On each subsequent day, he earns double the previous day's income. What is his income on day 10?
Q74.
Nitin's age last year was a perfect square, and next year it will be a perfect cube. If his age later must again equal a perfect cube, how many years must he wait?
Q75.
On Children's Day, sweets were planned to be distributed equally among 175 schoolchildren. Thirty-five were absent, so the 140 who attended each received four additional sweets. How many sweets had been bought?
Q76.
Five favourite puzzle books can be arranged in every possible order on a shelf. If one new arrangement is made every minute, how long will it take to make all arrangements?
Q77.
A placed three sheets with two carbons to obtain two extra copies of the original. She then folded the sheets and carbons so that the upper half lay over the lower half and typed. How many carbon copies did she get?
Q78.
A printer numbers the pages of a book starting from 1, using 3189 digits in all. How many pages does the book have?