Quant Twisted Ones for IBPS/BOM Exams

Q1. Ten years ago, the ages of the members of a joint family of eight people added up to 230 yr. Three years later, one member died at the age of 59 yr and a child was born during the same year. After another three years, one more member died, again at 60 and a child was born during the same year. The current average age of this eight-member joint family is nearest to

Q2. When you reverse the digits of the number 24, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed?

Q3. A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. What is the value of x?

Q4. The sum of the areas of two circles which touch each other externally is 153π. If the sum of their radii is 15, find the ratio of the larger to the smaller radius

Q6. The current of a stream runs at the rate of 2 km per hr. A motor boat goes 10 km upstream and back again to the starting point in 55 min. Find the speed of the motor boat in still water?

Q7. There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of persons in P is double the number of persons in Q. How many persons are there in building P?

Q8. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.

Q9. A man borrows Rs. 20,000 at 10% compound interest. At the end of every year he pays Rs. 2000 as part of repayment. How much does he still owe after three such installments?

Q10. A and B are partners of a business. A contribute 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used?

Q11. A train is traveling at 48 kmph. It crosses another train having half of its length, traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?

Q12. The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?

Directions (13-15): In these questions, a question is given followed by information in three statements. You are to consider the information in all the three statements and decide the information in which of the statements is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly. 


 Q13. What is Mayank’s present age? 


I. 4 yr hence the ratio between Mayank’s age and his son’s age will be 13 : 11. 
II. Ratio of present age of Mayank to that of his mother is 5 : 7. 
III. Mayank’s present age is double the age of his son.

Q14. What is the monthly income of Lavanya? 


I. Lavanya spends 75% of her income on various items and saves the remaining amount. 
II. Monthly saving of Lavanya is Rs. 7500 
III. Out of the total money spent by Lavanya in a month, one-fifth is spent on food and remaining amount of Rs. 18000 on other items.

Q15. What is the labeled price of a Smart Watch? 


I. Cost price of the Smart Watch is Rs. 5000. 
II. Selling price after offering 5% discount on the labeled price is Rs. 6080. 
III. Profit earned would have been 28% if not discount was offered.