Select the correct option with respect to the following.
Two triangles are similar if:
a) Any two of their sides are equal
b) their corresponding sides are proportional
c) Any two of their angles are equal
d) their corresponding angles are equal
A sum of money amounts to ₹13,380 after 3 years and to ₹20,070 after 6 years at compound interest compounded
annually. Find the sum
In a parallelogram two adjacent sides are in the ratio 3: 2 and the perimeter is 65 cm. The length of each of the two shorter
sides of this parallelogram is:
A cuboidal room is of length 15 m, breadth 17 m, and height 21 m. Find the cost of painting its walls and ceiling at the
rate of ₹40/m²
A shopkeeper sells 35 kg sugar for every 40 kg using false weights. How much percentage profit does he make if sells sugar at cost price (rounded off to two places of decimal)?
Rajiv's salary was first decreased by 40% and subsequently increased by 50%. How much percent did he lose from his initial salary?
Madhu and Shiney together can complete a piece of work in 20 days, Shiney and Rosy together can complete the same work in 12 days, and Rosy and Madhu together can complete the work in 15 days. In how many days will three of them complete it together?
What is the greatest number, by which when 8954, 9806 and 11297 are divided, the remainder in each case is the same?
A tank is filled in 4 hours by three pipes A, B and C. Pipe C is twice as fast as pipe B and pipe B is twice as fast as pipe
A. How much time will pipe A take to fill the tank?
P. Q and R jointly start a business. It was agreed that P would invest ₹25,000 for 6 months, Q ₹44,000 for 5 months and R 250,000 for 3 months. Out of total profit of ₹1.04,000, the amount received by P will be:
If two parallel lines are intersected by a transversal, then which of the options below is necessarily true?
A person has to cover a distance of 8 km in 1 hour. If he covers one-fourth of the distance in one-third of the total time, then what should his speed (in km/h) be to cover the remaining distance in the remaining time so that the person reaches the destination exactly on time?
Find the curved surface area of a cylinder whose diameter of base is 14 m and height is 24 m. [Use: [Use π = 22/7]
If the average of 5 consecutive even numbers is 10, then find the number at the centre when these five numbers are arranged in ascending order.
A dishonest dealer professes to sell his goods at the cost price but uses a false weight and thus gains 25%. How much quantity of grains does he give for a kilogram?