Two positive numbers differ by 20. The mean proportional between
these two numbers is 24. What is the sum of these two numbers?
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A sum, when invested at 20% simple interest per annum, amounts
to ₹5,280 after 3 years. What is the simple interest (in ₹) on the same
sum at the same rate in 2 years?
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If the average of three numbers is 7, what is their total sum?
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A number leaves a remainder of 2 when divided by 5 and a
remainder of 3 when divided by 7. What is the smallest positive
integer that satisfies both conditions?
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A man was seven times older than his son five years ago and is now
four times older. What is the son’s present age?
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Find the third proportional to 8 and 16.
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A borrower takes a loan of ₹1,860 at a simple interest rate of 12%
per annum. After some years, the total amount payable becomes
₹2,529.60. For how many years was the loan taken?
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In a school, Class A has 24 students with an average height of 160
cm, and Class B has 20 students with an average height of 168 cm.
The average height of students in Class C is 165 cm. If the overall
average height of all students from Classes A, B and C is 164 cm,
find the number of students in Class C.
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The LCM of the numbers 5, 8.3 and 0.19 is:
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Two trains of lengths 160 meters and 140 meters are moving in
opposite directions at 55 km/h and 65 km/h, respectively. Find the
time taken by them to cross each other completely.
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During a sale, 50% of the goods are sold at 36% profit, 40% of the
remaining goods are sold at 14% profit and the still remaining
goods are sold at a loss of 21%. If there is an overall profit of x%,
then what is the value of x?
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A company hires a certain number of temporary workers for a
project. If each worker is paid ₹500 per day, the total daily wage bill
exceeds the company’s budget by ₹4,000. If instead each worker is
paid ₹450 per day, the total daily wage bill falls short of the budget
by ₹2,000. Find the number of workers hired.
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Kavita's monthly salary increased by 25%, and then decreased by
20%. If her initial salary is ₹58,000, what was her final salary?
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A and B can do a piece of work in 12 days and 30 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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P sells an item to Q at 25% profit. Q sells the same item to R at 60%
loss. If R paid ₹5,166 for the item, then at what price (in ₹) is the
item purchased by P?
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From the top of a building 100√3 meters high, the angle of
depression to a bicycle on the ground is 30°. What is the horizontal
distance (in meters) from the building to the bicycle?
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Raghav drives from City A to City B in three equal segments of 40 km
each. He drives the first segment at 40 km/hr, the second at 60
km/hr, and the third at 120 km/hr. What is his average speed for the
whole trip?
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A shopkeeper fixes the marked price of an item 120% above its cost
price. What percentage of discount on marked price should be
allowed to gain 43%?
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What is the largest 6-digit number that is completely divisible by 96?
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The sum of two positive numbers is 27 and their product is 176. The
positive difference between them is:
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A wholesaler offers a trade discount of 30% on the marked price of
an electric kettle to retailers. A retailer then announces a scheme
discount of 12% on the price after receiving the trade discount. If
the retailer sells the kettle to a customer for ₹2,464, what is the
marked price of the kettle?
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The price of fuel decreases by 45%, 25% and 15% in three successive
months, but increases by 45% in the fourth month. What is the
percentage decrease in the price of fuel in the fourth month as
compared to its original price? (Round off to 2 decimal places.)
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A, B and C start a business. A invests ₹1,21,500 for 12 months, B
invests ₹1,02,060 for 9 months and C invests ₹97,200, but withdrew
₹24,500 after 6 months. If the total profit earned at the end of the
year is ₹1,69,797, find the difference between the profit share of A
and the profit share of B.
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The total surface area of a cube having side 94 cm is:
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Workers P and Q can complete a task in 16 days if working together.
P alone takes 24 days. If P and Q start the task together, but Q
leaves after 4 days, how many more days will P alone take to finish
the work?
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Simplify the following expression:
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What should come in place of the question mark (?) in the following equation?
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Two complementary angles are such that twice the measure of one angle
larger angle is:
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