Three numbers are in the ratio 17 : 5 : 11, and their LCM is 3740.
Their HCF is:8626
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A metallic sphere of radius 6 units is melted and recast into 27
smaller identical spheres. Find the ratio of the surface area of the
larger sphere to the sum of the surface areas of all the smaller
spheres.
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If a car covers a distance of 150 km at a speed of 50 km/h, how
much time does it take to complete the journey?
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The third proportional to 75 and 45 is the same as the fourth
proportional to 10, 5x and 6x. Find the value of x.
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The price of an article increases by 25%, then decreases by 20%, and
finally increases by 15%. What is the overall percentage change in
the price?
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In a division sum, the divisor is 9 times the quotient and 3 times the
remainder. If the remainder is 42, what is the dividend?
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From a regular octagon of side 4 units, a largest rectangle is cut out.
From the remaining pieces, two largest rectangles are cut out. The
remaining area of the octagon is _____ square units.
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If the price of a shirt increases from ₹400 to ₹500, what is the
percentage increase in the price?
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A and B can do a piece of work in 12 days and 36 days, respectively.
Both work for 2 days and then A leaves. How long (in days) will B
take to complete the remaining work?
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2 men and 8 women can complete a piece of work in 13 days, and 3
men and 19 women can complete the same work in 8 days. The
work of how many women is equivalent to that of one man?
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A sum of money at compound interest, compounded annually grows
to ₹24000 in 2 years and ₹28800 in 3 years. Find the annual rate of
interest.
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A school teacher observes that 4 years ago, her age was three times
the age of her daughter at that time. 8 years from now, the teacher’s
age will be twice her daughter’s age. What is the present age of the
teacher?
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Two alloys A and B contain copper and zinc in the ratio 3:4 and 5:9,
respectively. If equal weights of both alloys are melted together to
form a new alloy, what is the ratio of copper to zinc in the new alloy?
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A sum of money earns ₹2,400 as simple interest in 2 years at 12%
per annum. Find the sum.
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In a division sum, the divisor is 2 times the quotient and 3 times the
remainder. If the remainder is 10, what is the dividend?
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A milkman adds two litres of water to every eight litres of milk and
sells it at 50% more than his cost price of milk. Find the profit
percentage of the milkman.
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If a recipe requires ingredients in the ratio 1:2 and you have 3 cups
of the first ingredient, how many cups of the second ingredient
should you use?
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The monthly incomes (in ₹ thousands) of ten employees are 35, 40,
38, 50, 46, 42, 39, 37, 41, and 44. What is the median income of the
employees (in ₹ thousands)?
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Lata walks from home to the market, 20 km away, at 10 km/h. She
stays there for 1 hour for shopping and returns home by an e-
rickshaw at 20 km/h. Find the average speed for the whole trip.
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During a sale, 50% of the goods are sold at 37% profit, 30% of the
remaining goods are sold at 26% profit and the still remaining
goods are sold at a loss of 24%. If there is an overall profit of x%,
then what is the value of x?
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A shop sold 5 types of items over a week: 120, 150, 110, 130, and
140 units respectively. After receiving a return of 10 units from the
first item, what is the new arithmetic mean (in units) of items sold?
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A dealer of stationery items buys two types of pens, named Rajat
Pen and Naveen Pen. The cost of 4 Rajat Pens and 6 Naveen Pens
together is ₹540. The cost of one Naveen Pen is ₹15 more than the
cost of one Rajat Pen. What is the cost of one Rajat Pen?
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Evaluate 22 3 + (-13) 3 + (-9) 3
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A shopkeeper marks the price of a washing machine 40% above its
cost price. He offers a 25% discount on the marked price to attract
customers. If the final selling price of the washing machine is
₹21,000, what was its cost price?
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Find the value of m which satisfies
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