If the compound interest on a sum for 2 years at 5% per annum is
₹102.50, what is the sum?
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The average of 8 numbers is 45. If each number is decreased by 4,
what will the new average be?4633
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Three numbers in the ratio 2 : 5 : 7 are taken as the first, second,
and third terms, respectively. If their fourth proportional is 140, find
the middle number.
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The average of five numbers 7, 11, 15, x, and 23 is 15. What is the
value of x?
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The sum of the ages of a daughter and her mother is 76 years. After
4 years, the age of the mother will be three times that of the
daughter. What is the present age (in years) of the mother?
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A bus covers 90 km in 3 hours. If the speed of the bus is increased
by 5 kmph, find the time taken to cover a distance of 70 km?
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Ritu covers a distance of 40 km at 20 km/h and another distance at
40 km/h in 3 hours. Find the average speed for the whole journey.
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Two taps can fill a cistern in 4 hours and 10 hours, respectively. A
third tap can empty it in 10 hours. How long (in hours) will it take to
fill one-fourth of the empty cistern if all the taps are opened
together?
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A sum of ₹8,000 is invested at a compound interest rate of 12.5%
per annum for 2 years, compounded annually. What is the
compound interest earned?
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A and B can complete a task in 20 days and 25 days, respectively.
They started working together, but B left after 5 days. How many
more days will A take to finish the remaining work?
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A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 5% and 30% on any number of toys
bought.
(B) Successive discounts of 18%, 15% and 5% on any number of toys
bought.
(C) 11% discount on the first 5 toys and 47% discount on each toy
thereon.
(D) 2 toys free of cost on buying 5 toys.
A customer wants to buy 5 toys. Which of the above schemes is the
least beneficial to her?
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The largest four-digit number which when divided by 6, 14 and 7
leaves remainder 5 in each case is:
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During a sale, 50% of the goods are sold at 21% profit, 40% of the
remaining goods are sold at 36% profit and the still remaining
goods are sold at a loss of 29%. If there is an overall profit of x%,
then what is the value of x?
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The perimeter of a rectangle is 56 cm. Its length is 4 cm more than
twice its breadth. Find the breadth.
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If a square’s diagonal is extended by 6 units beyond a vertex,
forming a triangle outside the square, what is the angle between
this extension and the adjacent side of the square?
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What is the digit y if the number 6y512 is exactly divisible by both 8
and 9?
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A trader buys a chair for ₹200, sells it at a 10% profit, and then the
buyer sells it again at a 15% profit. What is the final selling price?
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The price of an article is increased by 25%. By what percentage
should the increased price be reduced so that it becomes equal to
the original price?
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In a division sum, the divisor is 5 times the quotient and 4 times the
remainder. If the remainder is 15, what is the dividend?
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A shopkeeper marks an article 40% above its cost price. He then
allows two successive discounts of 18% and 5% on the marked price.
Find the profit percentage.
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Girish scored 448 marks in an examination and was 64 marks short
of 16% of maximum marks. In the same examination, his friend
scored 672 marks. What is the percentage of marks scored by his
friend?
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Two bags contain marbles in the ratio 5 : 7. If 12 marbles are
transferred from the second bag to the first bag, the ratio of
marbles in the two bags becomes 7 : 5. Find the original number of
marbles in the second bag.
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The sum of two positive numbers is 35 and their product is 286. The
positive difference between them is:
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Find the third proportional to 6 and 12.
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A solid cube is melted and half of its material is recast into a cuboid whose
between the volume of the original cube and the cuboid formed is 250 cm
d.
D. length, breadth, and height are in the ratio 2 : 1 : 1. The difference 3 . Find the total surface area of the cuboid. GA
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