Lekhraj sells an article at a profit of 25%. If the cost price is
increased by 20% and the selling price is reduced by 10%, what
percentage loss will Lekhraj incur?
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What is the arithmetic mean of the dataset {12, 25, 37, 48, 56, 61, 73,
85, 92, 104}?
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A sum of ₹25,000 is invested at 2% per annum compounded
annually. Find the compound interest after 2 years.
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Two trains, A and B, start simultaneously from stations Delhi and
Mumbai respectively towards each other on parallel tracks. After
meeting, train A takes 16 hours to reach Mumbai, and train B takes
9 hours to reach Delhi. If train A’s speed is 60 km/h, what is the
length of train B (in meters), given that it crosses a pole in 18
seconds?
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Yogesh invested a certain sum of money at 10% per annum. After 2
years, he received ₹147 as compound interest, compounded
annually. Find the corresponding simple interest (in ₹) for 2 years at
the same rate.
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If the third proportional to 4 and 6 is used as the base of a rectangle,
and the first number (4) is its height, what is the area of the
rectangle?
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Find the measure of the unknown interior angle in an irregular
hexagon with angles 140°, 80°, 145°, 155°, and 100°.3534
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Two taps can fill a cistern in 4 hours and 8 hours, respectively. A
third tap can empty it in 4 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 man is walking at 4 km/hr. A 180 m long train crosses him in 12
seconds while coming from the opposite direction. What is the
speed of the train (in km/hr)?
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Ram has ₹1000 in the denomination of ₹10, ₹20 and ₹5 notes. If the
number of ₹10 notes is 16 more than that of ₹20 notes and the
number of ₹5 notes is twice the number of ₹20 notes, find the total
number of notes that Ram has.
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The difference between a discount of 35% and two successive
discounts of 20% and 15% on a certain marked price is ₹70. Find the
marked price (rounded off to the nearest integer).
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Pooja gets a discount of 17% on a dryer whose marked price is
₹2,000. Since she pays by credit card, she gets an additional 10%
discount. How much does she pay (in ₹)?
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The expenditures of R are 65% of his salary. If his salary increased by
10% and his savings are ₹3,150 more than previous savings, his
expenditures are now 60% of his salary. His present salary is ₹______.
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A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 35% and 4% on any number of toys
bought.
(B) Successive discounts of 45%, 46% and 50% on any number of
toys bought.
(C) 15% discount on the first 3 toys and 5% discount on each toy
thereon.
(D) 2 toys free of cost on buying 9 toys.
A customer wants to buy 9 toys. Which of the above schemes is the
least beneficial to her?
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Two solid hemispheres are joined together to make a sphere. The
total surface area of solids reduced by approximately ___%.
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The average of 5 consecutive integers is 10. What is the smallest
integer?
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In a science experiment, chemicals X, Y, and Z are mixed in the ratio
5:2:3. If the total weight of the mixture is 100 grams, how much of
chemical Y is present?
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Evaluate 20 3 + (-9) 3 + (-11) 3
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The enrolment of students in an institution increased by 10% in April
compared to the number of students in March and then decreased
by 5%, resulting in 1045 students in June. Find the number of
students in March.
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The 5-digit number 7a35b is divisible by 45, where a and b are
positive integers. What is the value of (a + b)?
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At present, a father is 30 years older than his son. In 12 years, the
father will be three times as old as his son. What is the present age
of the son?
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Three numbers are in the ratio 17 : 13 : 8, and their LCM is 7072.
Their HCF is:8620
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If 9 workers can build a wall in 12 days, how many days will 6
workers take to build the same wall, assuming they work at the
same rate?
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If x is the mean proportional between (a+b) and (a-b), then find the value
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If x = , what is the value of
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A keg is fitted with three taps A, B and C. If opened together, all the three
3 minutes to drain the keg while taps B and C together take minutes
the keg?
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Find the value of m which satisfies
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A park is designed in the shape of a right-angled triangle, where the two
width of 2 m is constructed such that its outer boundary coincides with the
inner boundary of this circular track.
d.
D. taps will drain the full keg in minutes. Taps A and B together take to drain it. How long (in minutes) taps A and C together take to drain shorter sides measure 13 m and 84 m. A circular track with a uniform circumcircle of the triangular park. Determine the perimeter of the
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The angle of elevation of the top of a tree from a point on the ground is
becomes 60°. Find the height of the tree.
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