A and B can do a piece of work in 12 days and 39 days, respectively.
Both work for 4 days and then A leaves. How long (in days) will B
take to complete the remaining work?3461
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Sangeeta’s salary is revised twice in two consecutive years. In the
first year, the salary is increased by 12%. In the second year, it is
decreased by 10%. Despite this, her salary after the second revision
is ₹1,584 more than the original salary. What is Sangeeta’s original
monthly salary (in ₹)?
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Simplify: (0.25 × 1.6) ÷ (0.04 × 0.5)
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The mean of the following data is 12.5. Find the missing frequency
p.
Data Values (x): 10, 15
Frequency (f): 5, p
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A ladder leans against a wall, making an angle of 60° with the
ground. If the foot of the ladder is 15 metres from the wall, what is
the length of the ladder?
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Three numbers are in the ratio 3 : 7 : 2, and their LCM is 8820. Their
HCF is:8632
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Evaluate 23 3 + (-14) 3 + (-9) 3
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The average monthly income of six employees in an office is
₹24,000. When a new employee joins the office, the average income
of all seven employees becomes ₹25,500. What is the monthly
income of the new employee?
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If the third proportional to 4 and 20 is m and the third proportional
to m and 50 is n, what is the value of n?
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Sphere A has a radius of 6 cm and Sphere B has a radius of 3 cm.
What is the ratio of the surface area of A to that of B?
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If the interest on a sum of ₹y at 4% per annum compounded
annually for 2 years is ₹765, then the total amount payable at the
end of the two-year period will be _________.
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The amount under simple interest on a sum of ₹8,000 for 3 years at
an interest rate of 7.5% per annum is
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Which of the following ratios is equal to 3:2?
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The population of a town increases by 10% in the year 2015 and
decreases by 15% in the year 2016. If the population of the town at
the end of the year 2016 is 1,87,000, find the population of the town
in the beginning of the year 2015.
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Pipes A and B together can fill a cistern in 10 hours. Pipes B and C
together can fill the same cistern in 20 hours, and pipes C and A
together can fill it in 12 hours. Find the time taken by pipe B alone to
fill the cistern.
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A spherical water tank has an internal diameter of 10 meters. If the
tank is coated with a material that costs ₹5 per square meter, what is
the total cost to coat the entire internal surface? (Use π = 3.14)
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A train covers a distance of 300 kilometers in 5 hours. If the same
train takes 6 hours to cover the same distance, what is the change in
its speed?
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Which of the following numbers is divisible by 11?
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A pair of shoes is marked at ₹2800 and is subject to a trade discount
of 18%. Under a special offer, a customer buys 5 pairs at the
discounted price and gets an additional 2 pairs at 50% off the
discounted price. Find the total cost to the customer for 7 pairs of
shoes.
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A delivery van covers the first 100 km at 50 km/h, the next 150 km at
60 km/h, and the last 50 km at 40 km/h. What is the average speed
for the entire journey (correct to two places of decimal)?
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Eight mangoes and five oranges cost ₹164, while five mangoes and
eight oranges cost ₹148. Determine the cost of three mangoes and
three oranges.
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In a division sum, the divisor is 14 times the quotient and 5 times
the remainder. If the remainder is 56, what is the dividend?
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The present age of Person A is 5 years more than twice the age of
Person B. If Person B is 15 years old, what is the present age (in
years) of Person A?
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In a college, the ratio of science to arts students is different for each
of its three batches. In Batch A, the ratio is 5:8, in Batch B it is 7:11,
and in Batch C it is 3:5. Which batch has the highest proportion of
science students?
b.
All have the same proportion
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A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 21% and 8% on any number of toys
bought.
(B) Successive discounts of 38%, 42% and 30% on any number of
toys bought.
(C) 17% discount on the first 8 toys and 20% discount on each toy
thereon.
(D) 7 toys free of cost on buying 10 toys.
A customer wants to buy 10 toys. Which of the above schemes is the
least beneficial to her?
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If a man bought an article at 20% less than its marked price and sold
it for ₹10 more than its marked price, his profit was 40%. What was
the marked price (in ₹) of the article (correct to two decimal places)?
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A trader buys a consignment of goods for ₹2400. He sells one-third of the
the remaining goods at cost price. What is the overall profit or loss percentage?
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d.
D. goods at a 20% profit, and one-fourth of the goods at a 10% loss, and GA
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