Quantitative Aptitude Quiz For IBPS PO Mains: 14th November 2018

Directions (1-5): Study the following information carefully to answer the following questions. 

Mr. Rajveer has a will of certain amount at present. He has four children out of them two are girls. His present will is 66 ⅔% more than that when his first child was born. The youngest child is a boy. One of the girl is 2 years elder than the age of elder son. The sum of ages of two girls is 56 yrs. The age of youngest child is 18 years and average age of all the four children is 26 years.

He decided to distribute his will among his wife and children. His wife got 16 ⅔% of total will and rest will goes to his sons in the ratio of 1 : 2 : 3 : 4 (from eldest to youngest). Daughters invest their sum in banks which provides simple interest at the rate of 12 ½% per annum while boys do not invest their sum anywhere. Wife bought a plot from her part and sold it at a profit of 25%. Sum of eldest child is Rs. 1.6 lacs.

Q1. Amount obtained by younger daughter from bank when she becomes 29 yrs. old is what percent of total will of Mr. Rajveer during his first child was born?

Solution:

Q2. If elder son invested his sum in mutual funds at a certain rate percent per annum and youngest child invested his sum in a scheme X at a different rate percent per annum, both gets equal simple interests from these two schemes when elder son becomes 34 years old, then ratio of rates of these two schemes is

Solution:

Q3. What is the total sum of amounts obtained by wife and eldest child ? (in lac Rs.)

Solution:

Q4. Amount obtained by youngest child is what percent of total amount obtained by wife in the transaction of plot.

Solution:

Q5. How many years before Mr. Rajveer got married. (It is given that Mr. Rajveer’s wife’s present age is 52 years) ?

Solution:

Directions (6-8): In the following questions two statements (Quantity 1 and Quantity 2) are given. You have to find both the quantities and give answer (Compare only numerical value, ignore units) 

Q6. Quantity 1: Time taken by the first cook to make 80 burgers alone for a marriage party. The next day three cooks have to make 80 burgers. They are known to make 20 pieces every minute working together. The first cook began working alone and made 20 pieces having worked for sometimes more than three minutes. The remaining part of the work was done by the second and the third cook working together. It took a total of 8 minutes to complete the 80 burgers. 

Quantity 2: Time taken by all the four inlets to fill up the Bhakhda Nangal dam. The dam has four inlets. Through the first three inlets, the dam can be filled in 12 minutes; through the second, the third and the fourth inlet it can be filled in 15 minutes; and through the first and the fourth inlet it can be filled in 20 minutes.

Solution:

Q7. Quantity 1: Amount invested in each scheme. This amount is invested in scheme A for 6 years which offers simple interest at the rate of x% per annum. The same amount is invested in scheme B for 2 years which offers compound interest (compound annually) at the rate of 10% per annum. Interest earned from scheme A is twice to that of earned from scheme B. If the rate of interest of scheme A had been (x + 2) % per annum, the difference between the interest after corresponding periods would have been Rs 3960. 

Quantity 2: Amount lent by the person. He lent out the same amount at 6% and 24% per annum simple interest each for a period of 18 months. he got total interest of Rs 4704. Which of these could be the amount that was lent out in each case if interest is paid half-yearly?

Solution:

Q8. Quantity 1: Time taken by C to complete the work alone. A and B together can do a piece of work in 16 days and B and C can do the same work in 24 days. From starting A and B worked for 4 days and 7 days respectively and remaining work is completed by C in 23 days. 

Quantity 2: Final quantity of milk left in the jar. The jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. Again, 12 litres of the newly formed mixture is taken out of the jar.

Solution:

Q9. Mahesh starts working as a sales representative on an annual salary of Rs. 160000. If he receives a 15% pay-rise each year, the number of years he has worked for the company, when his annual salary became Rs. 279841 is:

Solution:

Q10. ‘A’ sells a scooter priced Rs. 36000. He gives a discount of 8% on the first Rs. 20000 and 5% on the next Rs. 10000. How much discount can he afford on the remaining Rs. 6000 if he is to get as much as when 7% discount is allowed on the total?

Solution:

Directions (11-15): Find out the wrong number in the following number series. 

Q11. 14, 29, 41, 63, 65, 131, 133

Q12. 2478, 819, 257, 84, 24, 5

Q13. 4, 6, 12, 30, 90 , 315, 1240

Q14. 289, 266, 285, 270, 281, 275, 277

Q15. 7, 13, 49, 295, 2305, 23041

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