Q. A single equivalent discount equivalent to three successive discounts of 10%, 16%, and 25%, is equal to -
1) 42%
2) 46-5%
3) 41%
4) 43.3%
Q. A rectangular sheet of paper which is 88 cm long and 11 cm wide is rolled to form a cylinder of height equal to the width of the paper. What is the volume of the cylinder so formed?
1) 7676 cm3
2) 6776 cm3
3) 6546 cm3
4) 6786 cm3
Q. Twelve solid hemispheres of the same size are melted and recast to in a right circular cylinder of diameter 7 cm and height of 28 cm. What is the radius of the hemispheres?
1) 4.5 cm
2) 3.5 cm
3) 3 cm
4) 3.8 cm
Q. Vaibhav can do a piece of work in 60 days. He works there for 15 days and then Sandeep alone finishes the remaining work in 30 days. In how many days will Vaibhav and Sandeep work together to finish the work?
1) 20 days
2) 24 days
3) 18 days
4) 22 days
Q. ABCD is a cyclic quadrilateral such that AB is the diameter of the circle and ∠ADC = 145°, then what is the measure of ∠BAC?
1) 65°
2) 45°
3) 55°
4) 35°
Q. A shopkeeper bought 20 kg of sugar of ₹ 45 per kg, 25 kg of sugar at ₹ 50 per kg, and 35 kg of sugar at ₹ 40 per kg. He spent a sum of ₹ 450 on transportation and other expenses. He mixed all three types of sugar and sold all the stock at 52-50 per kg. His profit percent in the entire transaction is -
1) 5%
2) 4.25%
3) 6.5%
4) 7.25%
Q. What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?
1) 0.7
2) 0.4
3) 0.5
4) 0.6
Q. There are two water taps in a tank that can fill the empty tank in 12 hours and 18 hours respectively. It is seen that there is a leakage point at the bottom of the tank which can empty the completely filled tank in 36 hours. If both the water taps are opened at the same time to fill the empty tank and the leakage point was repaired after 1 hour, then in how much time the empty tank will be completely filled?
1) 7 hours
2) 8 hours 24 minutes
3) 7 hours 24 minutes
4) 7 hours 12 minutes
Q. The marked price of an article is ₹ 2,720. If a shopkeeper sold the article at a 15% loss after giving a 25% discount, then the cost price (in ₹) of the article is -
1) ₹ 2,000
2) ₹ 2,400
3) ₹ 1,800
4) ₹ 1,200
Q. A train running at 72 km/h crosses a pole in 12 seconds. How much time (in seconds) will it take to cross a bridge 360 m long ?
1) 40
2) 75
3) 60
4) 30
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