In a class, there are 10 boys more than girls. Each girl has 3 pencils
and each boy has 2 pencils with them. The total number of pencils in
the class is 170. The ratio of girls to boys in the class is _____.
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A and B can do a piece of work in 12 days and 15 days, respectively.
Both work for 4 days and then A leaves. How long (in days) will B
take to complete the remaining work?
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Which of the following numbers is divisible by 11?
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A student scores an average of 72 marks in 5 subjects and 84 marks
in 3 additional subjects. The overall average marks is
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A train passes two persons walking in the same direction in which
the train is going. These persons are walking at the rates of 2 km/hr
and 4 km/hr, respectively, and are completely crossed by the train in
9 seconds and 10 seconds, respectively. What is the length of the
train?
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The sum of two positive numbers is 67 and their product is 1012.
The positive difference between them is:
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The marked price of a refrigerator is ₹4,884. The shopkeeper allows
a discount of 10% and gains 8%. If no discount is allowed, his gain
percentage would be:
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The LCM of the numbers 5, 3.2 and 0.03 is:
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The following ratios are given:
a : b = 2 : 3
b : c = 4 : 5
c : d = 3 : 2
d : e = 5 : 4
What is the value of the ratio a : e?
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What is the mode of the following data?
40, 47, 54, 45, 50, 43, 53, 52, 53, 49, 40, 50, 42, 52, 44, 52, 47, 55
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If the income tax is increased by 18%, the net income is reduced by
2%. Find the original rate of income tax.
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What sum (in ₹) will earn a simple interest of ₹1,440 in 3 years at 8%
per year rate of interest?
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The sum of the present ages of a father and his son is 50 years. Five
years ago, the father’s age was three times the son’s age. By how
many years is the father older than his son?
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If p is the third proportional to 6 and 18, and q is the third
proportional to p and 54, find the value of q.
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A tech firm's revenue decreased from ₹2,50,000 to ₹2,12,500. What
is the percentage decrease in the revenue?
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The difference in simple interest on a sum of money invested at 4%
per annum for five years and for three years is ₹784. Find the simple
interest (in ₹) on the same sum invested at the same rate of interest
for eight years.
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An article is sold at a profit of 58%. If the cost price is increased by
₹20 and the selling price is reduced by ₹74, then the profit would be
52.5%. What is the original cost price (in ₹) of the article?
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A marker costs ₹43. A store offers “Buy 5, Get 2 Free”. What is the
effective price per marker? [Give your answer in ₹, correct to two
places after decimal.]
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A, B, and C can complete a work in 10, 12, and 15 days, respectively.
A and B work together for 3 days, after which A withdraws. B and C
then work together. Find the number of days required by B and C to
complete the remaining work.
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What is the greatest length of a measuring rod that can exactly
measure three fabric pieces of lengths 7 m 35 cm, 9 m 45 cm, and
10 m 50 cm?
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If a trader purchases 50 notebooks for ₹1000 and sells all at a gain
of 20%, what is the selling price of each notebook?
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A scooter travels 40 km at 20 km/hr and returns 60 km at the same
speed. What is the average speed?
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The fourth proportional to the first number, the second number, and 20
mean of the first two numbers.
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Let both a and b be prime numbers such that is also a prime
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A solid metallic sphere is melted and recast into a cone whose radius is equal
what was the volume of the original sphere?
d.
D. is 36. If the sum of the first two numbers is 14, find the geometric number less than 20. What is the number of possible values of b? to the radius of the sphere. If the height of the cone is 84 cm,
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A hollow spherical shell is made of a metal of density 39 g/cm 3 . Its internal
weight (in kg) of the shell?
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