Two men on either side of a temple of 40 m height observe its top at the angles of elevation 30^0 and 30^0, respectively. What is the distance between the two men in meters?
An investor invested a sum of ? 10 lakh in company X in 2014. The total amount received after one year was reinvested in the same company for one more year-. The total appreciation received by the investor on his investment was (in Rs lakhs):
If the roots of a(b-c) x^2÷b(c-a)x÷c(a-b)=0 are equal, then a, b, c are:
A, B and C rent a pasture. A puts 5 oxen for 4 months, B puts 8 oxen for 5 months and C puts 10 oxen for 3 months for grazing. If the rent of the pasture is 7180, then how much must B pay as his share of rent?
Find the remainder when f(x)=3x^3-5x^2÷2x+8 is divided by g(x) = 2x – 1.
6 men can complete a work in 10 days. They start the work and after 2 days 2 men leave. In how many days will the work be completed by the remaining men?
The number of books sold by Ravi in the first month is 10% less than that sold in the fourth month. If the average number of books sold by him in the first three months is 730 and in the first four months is 850, then find the number of books sold by him in the first month.
After spending 10% on clothes, 2% on books, 5% on purchasing gifts for husband and 4% on others, Rani has a balance of 75,135. How much money (in Rs) was there with her initially?
? to 145 + 12.5 % of 125 = 2^2×22 (correct to two decimal places) is:
What is the ratio of the bikes’ time taken to cover the same distance if the speeds of 3 bikes are in the ratio 3:5:7?
Convert the given octal number to decimal number. (58)_8
A sum of Rs 22,400 amounts to Rs 24,250 in 6 years at the rate of simple interest. What is the rate of interest (correct to two decimal places)?
A manufacturer offers a 12% rebate on the marked price of a product. The retailer offers 15% rebate on the reduced price. The two reductions are equivalent to a single reduction of:
A wheel turns 420 times around its axle to cover 4.2 km. The diameter of the wheel (in m) will be (correct to two decimal places):
The diameter of a solid metallic spherical bullet is 3.5 cm. 96 such bullets are melted and recast into a solid right circular cylinder of height 56 cm. What is the curved surface area (in cm2 ) of the cylinder?
Rashid borrowed a sum of ₹30,240 at 10% p.a., interest compounded annually. If the amount is to be paid back in two equal annual instalments, then the interest paid by him is:
A and B enter into a partnership with capitals in the ratio 4/3 : 5/6. After 6-months, A reduces his capital by 25% and increases his capital by 50%. What is the share of in the profit of ₹63.6 lakhs, at the end of a year?
The marked price of an article is ₹450. It is sold for ₹348.48, after giving two successive discounts each of x% on the marked price. If a single discount of 2x% is given on the same marked price, then what will be its selling price?
What is the ratio of alcohol and water in the resulting mixture?
By selling an article for ₹219.60, a shopkeeper loses 8.5%. If he sells it for ₹265.20, then his profit per cent is:
The cost price of item A is ₹500 more than that of item B. When A is sold at a loss of 10% and B is sold at a profit of 25%, then there is a profit of 4% in the entire transaction. What is the selling price of item A?
Solve the equation.
In finding HCF of two positive integers by division method, the last divisor is 28 and the respective quotients from the beginning are 30, 1 and 3. What is the sum of the two integers?
The simple interest on a certain sum for 12 years and 6 months at 15% p.a. exceeds the amount of the same sum at simple interest for 6 years and 6 months at 12% p.a. by ₹1197. The sum (in ₹) is :
Pipes A and B can fill a tank in 12 hours and 15 hours, respectively. Pipe C is an emptying pipe. Pipes A and B are opened together for 5 hours and then B is closed and C is opened. A and C together filled the remaining part of the tank in 10 hours. Pipe C alone can empty 7/15 the part of the tank in :
If a 8-digit number 43x259y2 is divisible by 88, then the largest possible value of (5x+2y) is:
What is the share of B?
A car travelling at a speed of 70 km/h overtakes a bus travelling in the same direction and leaves it 170 m behind in 18 seconds. What is the speed (in km/h) of the bus?
How many (total) hours will the boat take to go 42 km upstream and 54 km downstream?
What was the second discount offered by Him?
A painter charges Rs.5 per sq. M. For painting any surface. Find the Amount he will charge for painting a spherical ball of radius 10.5 m.
Find the arithmetic Mean.
In a division sum, the divisor is 4 times the quotient and 8 times the reminder. If the reminder is 3, then the dividend is:
A sum of Rs.12,300 was taken as a loan. This is to be paid back in two equal annual installations. If the rate of interest be 5% per annum, compounded annual, find the value of Each installation.
The digit in the unit’s place of 230 is:
In an election, a Candidate Got 65% of the Votes and Won by a Margin of 900 Votes. Find the total number of votes.
Pipe x can fill a tank 7 times faster in comparison to pipe y. it takes 49 minutes for pipe x and y to fill the tank together. How much time will pipe y alone take to fill the tank?
A book is listed at ₹ 1,200 and two successive discounts of 10% and 10% are given on it.how much would the seller gain or lose if he gives a single discount of 20% instead of two discounts?
What is the distance between the policeman and the thief, if the thief is 1.5 km away from gathering?
Annual installation of ₹ 2,200 will discharge a debt of ₹ y due in 3 years at 14.5% Simple Interest Per Annum. What is the value of y? (Note: Inutilities will be paid at the end of year 1, year 2 and year 3.)
The sales of an item (in Thousands) in different days of a week is given.
In an NCC Camp, there are food provisions for 500 cadets for 60 days. If 100 More Persons Join the NCC Camp, for how many days will the provisions last?
If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is Rs.72, then the marked price is :
If two numbers are each divided by the same divisor, the remainders are, respectively, 5 and 6. If the sum of the two numbers is divided by the same divisor, the remainder is 4. The divisor is :
how many women, working together, can finish the work in 7 days?
What is the cash value of the scooter?
Find the time required for the policeman to catch the thief.
What is the average weight of all students in the class?
Study the given line-graph carefully The line-graph shows the marks obtained by 240 students. It is given that the passing marks are 36 and the mean marks are 50.
The cost of an article decreased from f 50 to 740. Find the percentage of decrease.
The sides of a triangle are in the ratio 5:12:13 and its perimeter is 300m. Find its area.
Rajesh brought a TV priced at ₹2,000. He was given two successive discounts of 10% and 5%. What is the net price?
Rohit purchased an item whose price was ₹625. He paid ₹225 as down payment and ₹418 after 6 months to settle all dues. What was the rate of simple interest charged per annum?
Study the given line-graph carefully.
15 buckets are needed to fill a tank in 45 minutes. How long will it take for only 5 buckets of the same type to fill that tank?
Rohan started from home to school at 9 a.m. on bicycle. His brother started for office at 10:15 a.m. on scooter in the same direction and caught up with him at 12:30 p.m. If Rohan’s speed is 12 km/h, then what is his brother’s speed?
(0.04 × 5 − 0.004 × 25) equals :
After how many days did A leave?
A person spends 30% on food, 25% on rent, 10% on other expenses and he saves the remaining ₹700. Find his income.
The radius and height of a cone are 35cm and 72cm, respectively. Find its volume.
The population of a town triples itself in 10 years. In how many years will it be 9 times if it keeps growing at the same rate?
What is the average number of books per rack in the other section of the library?
The sales of an item (in Thousands) in different days of a week is given. What is the angle of Wednesday on the pie chart?
The price of a VCR is marked at ₹15,000. If successive discounts of 20%, 15% and 10 % are allowed, then at what price does a customer buy it?
Given that √10=3.16, find the square root of 11/9 up to two places of decimals.
If the cost of 12 pens is Rs. 36, then find the cost of 240 pens.
If m and n are the two digits of the number 1798mn such that this number is divisible by 70, then (m + n) is equal to:
Meera starts at 7:00 a.m. by bicycle to reach school. She cycles at the speed of 20 km/h and reaches school at 7:30 a.m. What should be Meera’s new speed if she has to reach the school at 7:25 am?
If 20% of (X + Y) = 50% of (X – Y), then find X : Y.
Sara’s expenditure and savings are in the ratio of 5 : 1. Her income increases by 10%. If her savings increase by 8%,
Marks obtained in different subject by a student presented in above diagram, figures being given in terms of the angles formed by the sect ors at t he centre of t he circle. If the total marks were 1800, then the marks in English would be:
Evaluate the above expression.
A rectangular hall, 142 metre long, is paved with 12425 tiles, each measuring 8 dm square (decimetre square) .The width of the hall is:
A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 3 litres per minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 10 hours. Find the capacity of the tank.
The greatest number of five digits which is divisible by 15, 25, 40 and 75 is:
A and B can do a piece of work in 80 days; B and C can do it in 120 days; A and C can do it in 112 days. In how many days can B alone do it ?
@ 5% per annum, the compound interest on a certain sum f or two years is Rs. 82 and the simple interest is Rs. 80, find sum.
Aman purchased 4 pens, 5 pencils and 8 scales for Rs. 120. Had Aman purchased 7 pens, 8 pencils and 11 scales, he would have to pay Rs. 192. Pankaj demanded 2 pens, 2 pencils and 2 scales.
The outer and inner radius of a hemispherical bowl are 40 cm and 35 cm respectively. Find the total surface area of the bowl.
If the cost of 30 articles is Rs. 4,500, then find out the cost of 12 articles.
In an arithmetic progression (AP),
Raj and Rajat can finish a piece of work in 30 days and 40 days respectively. Raj started the work alone. After how many days should Rajat join him so that the work is finished in 24 days?
By selling a fan for Rs 3,540, a shopkeeper gains 18 percent. Find the selling price when the profit is reduced to 12 percent.
A certain number of men can finish a piece of work in 40 days. If there were 4 men less, it would take 4 days more for the same work to be finished.
There is 30 percent increase in an amount in 3 years at x percent rate of simple interest.
What is the product of the smallest 8 whole numbers?
3 men and 4 women can complete a work in 10 days by working 12 hours a day. 13 men and 24 women can do the same work by working same hours a day in 2 days. How much time would 12 men and 1 women working same hours a day will take to complete the whole work?
600 men can make a road in 500 days. They start working together but after every hundred days, 50 men leave the work. Find the total time (in days) it takes to make the road.
For a shirt cost price = 400Rs. Shopkeeper prints a tag on it with Markup% = 20% to earn a profit of 7.5%. What is marked price
