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# Previous Year Quant Questions for SSC TIER 2 & IB (ACIO) 2017

Dear students,  Here we are providing 15 questions from Quantitative Aptitude. Practice more and Fulfill all your dreams of getting a government job. Best of luck.

Q1. A spider climbed 62½% of the height of the pole in one hour and in the next hour it covered 12½% of the remaining height. If pole’s height is 192 m, then distance climbed in second hour is?
(a) 3 m
(b) 5 m
(c) 7 m
(d) 9 m

Q2. There are three inlet taps whose diameters are 1 cm, 3 cm and 5 cm respectively. The rate of flow of the water is directly proportional to the square of the diameter. It takes 7 minutes for the smallest pipe to fill an empty tank. Find the time taken to fill an empty tank when all the three taps are opened?
(a) 13 sec
(b) 15 sec
(c) 12 sec
(d) 10 sec

Q3. Tap a fills a tank in 20 minutes while C empties it at 1/3rd the rate at which A fills it. At 12:00 noon, A and C are simultaneously started and when the tank is 50% full, tap A is turned off. At what time will the tank be empty?
(a) 12:35 pm
(b) 12:45 pm
(c) 12:30 pm
(d) 12:55 pm

Q4. A 6-ft-tall man finds that the angle of elevation of the top of a 24-ft-high tower and the angle of depression of its base are complementary angles. The distance of the man from the pillar is?
(a) 2√3 ft.
(b) 8√3 ft.
(c) 6√3 ft.
(d) None of these

Q5. Two pillars of equal height stand on either side of a road. At a point on the road between the pillars the elevation of the tops of the pillars are 60° and 30°. Find the height of the pillars if it is given that the width of the road is 150 m?
(a) 64.87
(b) 62.34
(c) 78
(d) 66

Q6. A jar contains a mixture of 2 liquids A and B in the ratio 4:1. When 10litres of the mixture is taken out and 10 liters of liquid B is poured into the jar, the ratio becomes 2:3. How many liters of the liquid A was contained in the jar?
(a) 17 liters
(b) 16 liters
(c) 18 liters
(d) 15 liters

Q7. In an examination, 34% of the students failed in mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then find the percentage of students who passed in both the subjects?

(a) 40%
(b) 41%
(c) 43%
(d) 44%

Q8. In a journey of 160 km, a train covers the distance 120 km at a speed of 80 km/h and the remaining distance at 40 km/h. Find the average speed of the train for the whole journey?
(a) 60 km/h
(b) 64 km/h
(c) 40 km/h
(d) 45 km/h

Q9. If the area of the base of right circular cone is 3850 cm square and its height is 84 cm then find the curved surface area of the cone?
(a) 10,000 cm square
(b) 1250 cm square
(c) 10010 cm square
(d) 980 cm square

Q10. One year ago, the ratio between Mahesh’s and Suresh’s salaries was 3 : 5. The ratio of their individual salaries of last year and present year are 2 : 3 and 4 : 5 respectively. If their total salaries for the present year are Rs. 43000, what is the present salary of Mahesh ?
(a) Rs. 19000
(b) Rs. 18000
(c) Rs. 16000
(d) Rs. 15500

Q11. A sum of money becomes eight times in 3 years if the rate is compounded annually. In how much time the same amount at the same compound interest rate will become sixteen times ?

(a) 6 years
(b) 4 years
(c) 8 years
(d) 5 years

Q12. Rashi calculates her profit percentage on the selling price whereas Rishi calculates his profit percentage on the cost price. They find that the difference of their profits is Rs. 275. If the selling price of both are the same and Rashi gets 25% profit and Rishi gets 15% profit, then find their selling price.
(a) Rs. 2100
(b) Rs. 2350
(c) Rs. 2250
(d) Rs. 2300

Q13. A trader sells on article at a loss of 8%, but when he increases the selling price of the article by Rs. 164 to earns a profit of 2.25% on the cost price. If he sells the same article at Rs. 1760, what is his profit percentage.

(a) 8%
(b) 10%
(c) 7%
(d) 9%

Q14. A swimmer swims from a point A against a current for 5 minutes and then swims backwards in favor of the current for next 5 minutes and comes to the point B. If AB is 100 meters, the speed of the current (in km per hour) is?

(a) 0.4
(b) 0.2
(c) 1
(d) 0.6

Q15. Two vessels A and B of equal capacities contain mixtures of milk and water in the ratio 4:1 and 3:1, respectively. 25% of the mixture from A is taken out and added to B. After mixing it thoroughly, an equal amount is taken out from B and added back to A. The ratio of milk to water in vessel A after the second operation is?

(a) 79: 21
(b) 83: 17
(c) 77: 23
(d) 81: 19

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