The average of five numbers is 24. If four of the numbers are 18, 20,
25 and 27, what is the fifth number?
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A shopkeeper sells an article to A at a profit of 20%. A sells it to B at
a profit of 25%. If B pays ₹3,000, what is the cost price of the article
for the shopkeeper?
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The HCF and LCM of two numbers are 15 and 225, respectively.
Which of the following pairs can be the numbers?
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Which of the following numbers is divisible by 11?
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Three friends, Amit, Bala, and Chetan, have savings in the ratio 5:7:9.
If Bala's savings exceed Amit's by ₹3,600, what are Chetan's total
savings?
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The sum of two positive numbers is 44 and their product is 228. The
positive difference between them is:
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A shopkeeper claims to sell rice at cost price, but uses a false
weight and gains 25%.
For 1 kg, how much rice does he actually give?
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What is the ratio between the third proportional of 36 and 48 to the
third proportional of 49 and 64?
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A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 27% and 39% on any number of toys
bought.
(B) Successive discounts of 39%, 7% and 40% on any number of toys
bought.
(C) 26% discount on the first 9 toys and 13% discount on each toy
thereon.
(D) 7 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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What sum (in ₹) will earn a simple interest of ₹1,320 in 3 years at
16% per year rate of interest?
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If the difference between the ages of a mother and her daughter is
24 years, and the sum of their ages is 52 years, how old (in years) is
the mother?
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The present ages of A and B are in the ratio 4:5. If after 8 years from
now, A will be 32 years old, what is B’s present age?
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If ₹5,000 is invested at 8% per annum compounded annually, what
will be the compound interest earned after 2 years?
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A shopkeeper buys two types of notebooks. The cost of 3 notebooks
of the first type and 5 notebooks of the second type together is
₹420. The cost of one notebook of the second type is ₹20 more than
the cost of one notebook of the first type. What is the cost of one
notebook of the first type?
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Two trains P and Q, measure 200 m and 300 m in length,
respectively. The faster train, coming from behind, takes 48 seconds
to overtake the slower when moving in the same direction. When
they approach each other from opposite directions, they cross each
other completely in 20 seconds. Determine the speed of the faster
train.
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The arithmetic mean of 3, 7, 11, ..., 51 is ______.
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An item is sold after giving successive discounts of 10% and 20%.
What is the net percentage reduction in its price?
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A company’s revenue increases by 20% in the first year, decreases by
10% in the second year, and increases by 15% in the third year. What
is the overall percentage change in revenue over the three years?
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A shopkeeper marks a washing machine at ₹24,000. During a
festival, he offers a 20% discount and sells it for an additional ₹800
less. What is the final selling price of the washing machine?
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The LCM of the numbers 7, 12.4 and 1 is:8521
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In a parallelogram, one angle is 70°. What are the measures of the
other three angles?
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Two taps can fill a cistern in 4 hours and 13 hours, respectively. A
third tap can empty it in 13 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 person travels three-fifths of the total distance from home to
office by train, one-fourth by car, and the remaining 300 metres on
foot. What is the total distance (in kilometres) from home to office?
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A cistern is filled by two taps, C and D, in 54 minutes and 81 minutes,
respectively. There is also a drain E at the bottom. If all three are
opened simultaneously, the cistern is filled in 108 minutes. In how
many minutes can drain E alone empty the cistern? (up to two
decimal places)
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A hollow cylinder of thickness 1 unit and length 14 units is made with 396
)
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A vertical communication tower stands on a building 30 meters high. From
top and bottom of the tower are 30° and 60°, respectively. What is the height
d.
D. cubic units of metal. Its inner volume is _____ cubic units. (Take a point 70 meters from the building, the angles of elevation to the of the tower (in m)?
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