Dear Readers,
Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of Twisted Ones Quantitative Aptitude for SBI PO Mains 2017.
Q1. The average age (in years) of a group of people is twice the number of people in the group. A person, X, leaves the group and the average age is still twice the number of people in the group. Now another person, Y, leaves the group and the average age is still twice the number of people in the group. If the ratio of the ages of X and Y is 19 : 17, then find the average age of the group, if one more person, Z, of age 16 years, leaves the group.
(a) 10
(b) 15
(c) 16
(d) 18
(e) None of these
Directions (2-3): P, Q and R are 3 small pumps fitted to a tank. S is a large pump fitted to the tank. Q is 50% more efficient than P. R is 100/3% m ore efficient than Q. S is 50% more efficient than R. All of the pipres are used to fill the tank.
Q2. What is the ratio of the time taken by pumps P and R to fill the tank together to the time taken by pumps Q and S to fill the tank together ?
(a) 3 : 2
(b) 4 : 3
(c) 2 : 3
(d) 3 : 5
(e) None of these
Q3. If pump S starts emptying the tank instead of filling it, then find the ratio of time taken by all pumps to fill the tank to the time taken by all pumps to fill the tank when all pumps are used to fill the tank?
(a) 7 : 5
(b) 5 : 1
(c) 5 : 1
(d) 2 : 3
(e) None of these
Directions (4-5): These questions are based on the information given below.
A shopkeeper sold a two-digit number of toys all priced at a certain value (also a two-digit number when expressed in rupees). By mistake he reversed the digits of both, the number of items sold and the price (in Rs.) of that item while entering in the computer. So, the stock left at the end of the day showed 81 items more than what it actually was.
Q4. How many possibilities exist for the actual number of toys sold?
(a) 1
(b) 2
(c) 3
(d) 4
(e) None of these
Q5. If the faulty calculations show a total sale of Rs. 486, what was the actual selling price (in Rs.) of each toy?
(a) 54
(b) 45
(c) 63
(d) 36
(e) None of these
Q6. In a company there are 252 employees, in which the ratio of the number of men and women is 2 : 1. Some more women are employed and the ratio of men and women becomes 1 : 1. The average age of all the employees is now 22 years and the average age of the women is 2 years less than the average age of the men. Find the average age (in years) of men and women.
(a) 22,20
(b) 23,21
(c) 24,22
(d) 21,23
(e) none of these
Q7. Rahul, Surya and Samuel set out to complete a work. Samuel being the eldest would take 1 day less than Rahul if he were to complete the work alone. All three together could complete the work in a day. However, Samuel was kidnapped by Gabbar. Rahul and Surya began the work in his absence. After a day, Rahul was also kidnapped. Surya took 3 more days to finish the work. How much portion of the work Samuel could do in a day?
(a) 2/3
(b) 1/6
(c) 1/2
(d) 1/3
(e) None of these
Q8. Prabhat ordered 4 Arrow shirts and some additional Park Avenue shirts. The price of one Arrow shirt was twice that of one Park Avenue shirt. When the order was executed it was found that the number of the two brands had been interchanged. This increased the bill by 40%. The ratio of the number of Arrow shirts to the number of Park Avenue shirts in the original order was:
(a) 1 : 3
(b) 1 : 4
(c) 1 : 2
(d) 1 : 5
(e) None of these
Q9. A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end. Their common diameter is 3.5 cm and the heights of conical and cylindrical portion are respectively 6 cm and 10 cm. Find the volume of the solid?(approximate)
(a) 117 cm³
(b) 234 cm³
(c) 58.5 cm³
(d) 126 cm³
(e) None of these
Q10. A group of people decided to cut 128 trees in a certain number of days. For the first 3 days, they were able to achieve their planned per day target. However, for the remaining days, the group was able to cut 8 more trees daily than planned. In this way, the group had cut 144 trees one day before the planned finish date. What was the number of trees the group was planning to cut per day?
(a) 16
(b) 32
(c) 8
(d) 64
(e) None of these
Directions (11-15): Find the value of ‘?’ in the following series.
Q11. 3, 134, 288, 467, 673, ?
(a) 908
(b) 900
(c) 870
(d) 920
(e) None of these
Q12. 7, 9, 20, 32, 62, ?
(a) 90
(b) 92
(c) 96
(d) 98
(e) None of these
Q13. 17, 19, 13, 25, 20, ?
(a) 60
(b) 56
(c) 50
(d) 64
(e) None of these
Q14. 5, 5, 7, 13, 25, ?
(a) 43
(b) 46
(c) 54
(d) 45
(e) None of these
Q15. 18, 12, 40, 15, 81, ?
(a) 19
(b) 20.5
(c) 21.5
(d) 22
(e) None of these
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