Q1. Ravi deposited Rs 15000 in a scheme which offers compound interest at the rate of 15% per annum for 2 yrs. If due to some emergency, he withdrew 10000 rs at the end of 1st yr. What amount will Ravi get at the end of 2nd year?
(a) Rs 8337.5
(b) Rs 8625
(c) Rs 8725.5
(d) Rs 9245.5
(e) Rs 8845
Q2. The ratio of the volume of the cylinder to that of a cone having same heights is 27: 36. If the sum of the radii of cylinder and cone is 45 cm, then what is the area of rectangle whose sides are equal to the radii of cylinder and cone?
(a) 450 cm2
(b) 360 cm2
(c) 480 cm2
(d) 540 cm2
(e) 420 cm2
Q3.P can do a piece of work alone in 30 days. If P and Q together can do 2/3rd of same work in 8 days, the find in how many days Q alone can complete 3/4th of the same work?
(a) 24 days
(b) 18 days
(c) 12 days
(d) 15 days
(e) None of these
Q4.A pipe can fill a tank in 4 hr but due to a leak it takes 6 hrs to completely fill up the tank. If the pipe is closed, the leak will empty 55 litre in 4 hr, what is the capacity of the tank?
(a) 175 litre
(b) 155 litre
(c) 165 litre
(d) 145 litre
(e) 135 litre
Q5.A boat which takes 6 hr to travel 105 km in still water, goes 364 km in upstream and return back to the initial point. If rate of stream is 9/26th of upstream speed of boat, then find how much approximate time did it take in the entire journey?
(a) 48 hrs
(b) 40 hrs
(c) 52 hrs
(d) 45 hrs
(e) 56 hrs
Q6. Amit and Deepak started a business with initial investments in the ratio of 3:1 respectively. At the end of 8 months from start of the business, Amit left. If Deepak received Rs 8000 as his share of the annual profit, then find what was annual profit?
(a)Rs 20000
(b) Rs 28000
(c) Rs 24000
(d) Rs 32000
(e) Rs 16000
Q7.P and Q can complete a given task in 24 days working together. If efficiencies of P and Q are in the ratio of 3:2 respectively, then in how many days can Q alone complete the same work? (in days)
(a) 60
(b) 45
(c) 30
(d) 72
(e) 54
Q8.Shikhar deposited Rs 15000 in a scheme for 2 yrs which offers compound interest at the rate of 10 %. Due to some emergency, he withdrew 12000 at the end of 1st year. How much amount he will get at the end of 2nd year?
(a) Rs 4600
(b) Rs 5450
(c) Rs 4950
(d) Rs 5600
(e) Rs 5870
Q9. Aakash and Vikash invested Rs(x+2000) and Rs(x+3000) respectively in a partnership. If profit at the end of the year is Rs 28000 and value of Vikash’s share is Rs 16000, what is the value of x?(in Rs)
(a) 1500
(b) 1000
(c) 2000
(d) 500
(e) 1200
Q10. 5 yrs hence, the age of Shivam increased by 20% and 6 yrs ago the age of Ayush was 25% less than his present age. What is the sum of the ages of Shivam and Ayush, 8 yrs hence?
(a)54 yrs
(b)60 yrs
(c) 65 yrs
(d) 56 yrs
(e) 69 yrs
Solutions
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