CSAT Maths questions from IAS 2022.
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?
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?
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: 1. 25 notes of ₹50 are used and the remaining are in the denominations of ₹20 and ₹10. 2. 35 notes of ₹20 are used and the remaining are in the denominations of ₹50 and ₹10. 3. 20 notes of ₹10 are used and the remaining are in the denominations of ₹50 and ₹20. Which of the above statements are not correct?
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?
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
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?
A pie chart gives the expenditure on five different items A, B, C, D and E in a household. If B, C, D and E correspond to 90º, 50º, 45º and 75º respectively, then what is the percentage of expenditure on item A?
Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm: 1. It is possible to cut the sheet exactly into 4 square sheets. 2. It is possible to cut the sheet into 10 triangular sheets of equal area. Which of the above statements is/are correct?
Consider the following statements in respect of two natural numbers p and q such that p is prime number and q is a composite number: 1. p × q can be an odd number. 2. q/p can be a prime number. 3. p + q can be a prime number. Which of the above statements are correct?
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?
How many seconds in total are there in x weeks, x days, x hours, x minutes and seconds?
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?
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?
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: 1. The 4-digit least value of x is 1332. 2. The 3-digit greatest value of x is 888. Which of the above statements is/are correct?
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?
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?
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?
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?
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?
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?
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?
The sum of three consecutive integers is equal to their product. How many such possibilities are there?
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 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?
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?
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?
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?
What is the number of numbers of the form XY, where X and Y are distinct non-zero digits?
What is the remainder when \(91 \times 92 \times 93 \times 94 \times 95 \times 96 \times 97 \times 98 \times 99\)is divided by 1261?
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?
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
Which number amongst 240, 321, 418 and 812 is the smallest?
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)?