The mean proportional of 0.15 and 0.000135 is ______.
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Rohit walks at a speed of 6 km/hr. How much time will he take to
cover 12 km?
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An article is marked for ₹2,000. A 25% discount is offered on the
marked price, followed by a second discount of 10% on the new
price. What is the final selling price of the article?
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If the ratio of two numbers is 4 : 1, and their HCF is 47, then their
LCM is:
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If the simple interest on a sum of ₹9,800 is ₹16,562 for a period of
13 years, find the rate of interest per annum.
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Rajiv invested a certain sum of money at 10% per annum. After 2
years, he received ₹199.5 as compound interest, compounded
annually. Find the corresponding simple interest (in ₹) for 2 years at
the same rate.
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A train met with an accident 50 km away from station A. It
completed the remaining journey at three-fourth of its original
speed and reached station B 35 minutes late. Had the accident
occurred 24 km further down the line, it would have been only 25
minutes late. What is the original speed of the train?
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Evaluate 23 3 + (-11) 3 + (-12) 3
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Harish bought an article for ₹347 and sold it to Renu at a loss of 6%.
With this amount, Harish bought another article and sold it at a gain
of 65%. What is Harish's overall gain percentage?
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Two taps can fill a cistern in 4 hours and 15 hours, respectively. A
third tap can empty it in 15 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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Sides PQ and QR of a ∆PQR are produced to points S and T. If ∠PRT >
∠RQS > 50 o and ∠PRT + ∠RQS = 220 o , which of the following
statements is true?
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The frequency distribution of the hourly wages rate of 100
employees of a paper mill is follows. Find the median wage rate (in
₹).
Wages rate(in₹) 54-56 56-58 58-60 60-62 62-64 Number of workers
20 20 20 20 20
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The HCF and LCM of two numbers are 27 and 324, respectively. If
one number is 81, find the other number.
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A teacher records the number of books read by each student in a
month: 3, 5, 2, 3, 4, 5, 3, 2, 5, 5. What is the mode of this data set?
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Simplify: 156 ÷ [12 + {7 × (15 – 9) – 28}]
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A stationery shop sells notebooks and pens. The cost of 4 notebooks
and 6 pens is ₹228. The cost of 7 notebooks and 6 pens is ₹333. Find
the cost of one notebook.
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A parallelogram has sides 12 cm and 9 cm long. The length of one of
its diagonals is 15 cm. What is the area (in cm 2 ) of the
parallelogram?
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What is the mean proportional between 0.16 and 0.49?
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The price of fuel decreases by 45%, 50% and 25% in three successive
months, but increases by 65% 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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Priyal is 5 years younger than her brother. After 4 years, the sum of
their ages will be 39 years. What is Priyal's current age?
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Pipe X can fill a reservoir in 15 hours and pipe Y can empty it in 20
hours. If both pipes are opened simultaneously and pipe Y is closed
after 10 hours, find the total time to fill the reservoir.
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The cost of an article is increased by 20% in the first year. In the
second year the increased cost is decreased by 24%. If the final cost
of the article is ₹1,938, find the original cost of the article.
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A jacket has a marked price of ₹5,000. The shopkeeper offers two
successive discounts of 20% and 30%. What is the final selling price?
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Find the positive integral value of x if the fourth proportional of x, x
+ 1, 2x + 3 is y and y = 3x + 3.
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A trader sells goods at a 15% profit but uses a weight of 950 grams
for a kilogram. What is his total profit percentage? (Correct to two
decimal places.)
d.
18.95% two distinct pieces. The first piece is reshaped into a rectangle where If the perimeter of the rectangle is 24 cm greater than the
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A string initially in the shape of a circle with a radius of 21 cm is cut into
the length is twice its breadth, while the second piece is formed into a square.
perimeter of the square, find the breadth of the rectangle. [Use π = 22/7]
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Find the value of m which satisfies
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