Q1: The average age of 12 students in a class is 20 years. When 3 new students join the class, the average age of the class increases by 1 year. What is the average age of the 3 new students?
Q2: A shopkeeper sells two articles for Rs. 1,500 each. On the first article, he makes a 20% profit, while on the second article, he incurs a 25% loss. What is the overall profit or loss percentage on the total transaction?
Q3: The ratio of milk to water in a container is 5 : 3. Some quantity of the mixture is removed and replaced with pure water. After this operation, the ratio of milk to water becomes 3 : 5. If the container initially had 32 litres of mixture, how much of the mixture was removed and replaced?
Q4: Find the least number divisible by 2, 3, 5, 6 and 15 which is a perfect square.
Q5: If a number ‘N’ leaves a remainder 3 when divided by 7, what will be the remainder when ‘7N’ is divided by 7?
Q6: A trader buys 100 pens at Rs. 20 each. He sells 60 pens at a 10% profit and the remaining 40 pens at a 5% loss. What is the overall profit or loss percentage?
Q7: A can complete a piece of work in 12 days, and B can complete the same work in 18 days. A and B start working together, but after 3 days, A leaves the work. Immediately after A leaves, C joins B. B and C together finish the remaining work in 4 days. If C alone can complete the entire work in x days, what is the value of x?
Q8: Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. Pipe C can empty the full tank in 24 hours. If all three pipes are opened together, how long will it take to fill the tank?
Q9: Find the missing term in the number series. 40, 20, 20, 30, __, 150
Q10: Find the wrong number in the following number series 729, 243, 182, 27
Q11: Select the combination of letters which, when sequentially placed in the blanks, will complete the series: A, C, F, J, O, __, __, __
Q12: Find the wrong term in the given series BDF, EGI, HJL, KMP, NPR
Q13: If in a certain language, DELHI is coded as WVOSR, then how will MUMBAI be coded in that language?
Q14: A man is facing South. He turns 90° clockwise, then 180° anticlockwise, and then 90° clockwise again. Which direction is he facing now?
Q15: A girl starts walking from her house and walks 150 m south, then she turns right and walks 80 m, and then she turns left and walks 60 m. She finally turns left and walks 280 m to reach a school. What is the shortest distance between her house and the school?
Q16: Pointing to a woman, Ram said, “She is the daughter of the only son of my grandfather.” How is the woman related to Ram?
Q17: A sum of Rs. 270 is to be divided among A, B, and C such that A gets twice as much as B, and B gets Rs. 30 more than C. What is the ratio of their shares?
Q18: If x and y are integers such that: x + y = 14 and x − y = 4, what is the value of x * y?
Q19: A boat can travel 30 km downstream in 2 hours and the same distance upstream in 3 hours. How long will it take the boat to travel 45 km downstream and then 30 km upstream?
Q20: A train 120 m long is running at a speed of 54 km/h. It takes T1 time to cross the pole and T2 time to cross the 180 m long platform. What is the difference in time (T2 − T1), in seconds, taken by the train to cross the platform and the pole?