**Dear Readers,**

**Q1. Eleven years earlier the average age of a family of 4 members was 28 years. Now the age of the same family with six members is yet the same, even when 2 children were born in this period. If they belong to the same parents and the age of the first child at the time of the birth of the younger child was same as there were total family members just after the birth of the youngest member of this family, then the present age of the youngest member of the family is**

(a) 3 years

(b) 5 years

(c) 6 years

(d) Can’t be determined

(e) None of these

**Q2. There is a vessel holding 40 litres of milk. 4 litres of milk is initially taken out form the vessel and 5 litres of water is poured in. After this, 5 litres of the mixture from this vessel is replaced with 6 liters of water. And finally 6 litres of mixture from this vessel is replaced with 7 liters of water. How much of the milk (in litres) is there is the vessel now?**

(a) 22.42

(b) 27.09

(c) 24.72

(d) 29.42

(e) None of these

**Q3. Shobha’s Mathematics test had 75 problems i.e., 10 Arithmetic, 30 Algebra and 35 geometry problems. Although she answered 70% of the Arithmetic, 40% of the Algebra and 60% of the geometry problems correctly. She did not pass the test because she got less than 60% of the problems right. How many more questions she would have needed to answer correctly to earn a 60% passing grade?**

(a) 4

(b) 5

(c) 6

(d) 7

(e) None of these

**Q4. A shopkeeper bought 150 calculators at the rate of Rs. 250 per calculator. He spent Rs. 2500 on transportation and packing. If the marked price of the calculator is Rs. 320 per calculator and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper?**

(a) 20%

(b) 14%

(c) 15%

(d) 16%

(e) None of these

**Q5. A person bought two clocks. The cost price of one of them exceeds the cost price of the other by 1/4th. He sold the dearer one at a gain of 10% and the other at a gain of 7.5% and thus got Rs. 98 in all as S.P. find the cost price of the cheaper one.**

(a) Rs. 40

(b) Rs. 50

(c) Rs. 30

(d) Rs. 60

(e) None of these

**Q6. Three persons Amar, Akbar and Anthony invested different amounts in a fixed deposit scheme for one year at the rate of 12% per annum and earned a total interest of Rs. 3,240 at the end of the year. If the amount invested by Akbar is Rs. 5000 more than the amount invested by Amar and the amount invested by Anthony is Rs. 2000 more than the amount invested by Akbar, what is the amount invested by Akbar?**

(a) Rs. 12,000

(b) Rs. 10,000

(c) Rs. 7,000

(d) Rs. 5,000

(e) None of these

**Q7. Two vessels contain mixtures of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. The contents of both of these are mixed in a specific ratio into a third vessel. How much mixture must be drawn from the second vessel to fill the third vessel (capacity 26 gallons) completely in order that the resulting mixture may be half milk and half water?**

(a) 12 gallons

(b) 14 gallons

(c) 10 gallons

(d) 13 gallons

(e) None of these

**Q8. A fill pipe can fill a tank of capacity 50,000 lt in 100/19 hr. The tank has 2000 water supply outlet pipes connected to various houses. At the time when the tank was supposed to be full, it was found that only 2/5 th of the tank was full. It was discovered that all the residents had kept their water taps open during this period. At what rate were the residents of each house getting water? (Consider that each house has only one tap).**

(a) 1.1 litres/h

(b) 2.22 litres/h

(c) 2.85 litres/h

(d) 4.46 litres/h

(e) None of these

**Q9. A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclists to travel from A to B?**

(a) 6 hours

(b) 3 hours

(c) 2 hours

(d) 4 hours

(e) None of these

**Q10. Ram sells onions in the streets of Varanasi. Due to the recent shortfall in the supply of onions, he doubles his selling price despite the cost price remains same for him due to a fixed contract. He realizes that his profit has tripled. Find the original profit percent.**

(a) 200/3%

(b) 100%

(c) 120%

(d) 316/3%

(e) None of these

**Directions (11-13): In each of these questions a number series is given only one number is wrong in each series. You have to identify the wrong number.**

**Q11. 1.375 1.25 2.625 3.875 6.575 10.375 16.875**

(a) 6.575

(b) 1.25

(c) 10.375

(d) 2.625

(e) 16.875

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

(a) 257

(b) 24

(c) 5

(d) 819

(e) 84

**Q13. 199 176 195 180 190 184 187**

(a) 180

(b) 190

(c) 184

(d) 187

(e) 199

**Directions (14-15): What should come in place of the question mark (?) in the following number series?**

**Q14. 949, 189.8, ?, 22.776, 11.388, 6.8328**

(a) 48.24

(b) 53.86

(c) 74.26

(d) 56.94

(e) None of these

**Q15. 89, 131, 101, 121, 109, ?**

(a) 103

(b) 121

(c) 115

(d) 97

(e) 107

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