PROBABILITY
The probability of drawing an honor card is
5/13
The discount allowed on the marked price of goods, usually expressed as a percentage of the marked price.
In how many ways can 5 letter be posted in 5 letter boxes if each box has one letter
120
Father of Calculus is
Sir Issac Newton or GW Leibnitz
A two-digit number is such that the sum of its digits is 9, and the difference between the digits is 3. What is the number?
36 or 63
Two dice are thrown.What is the probability that the sum is divisible by 3?
1/3
The profit distributed by a company to its shareholders, usually expressed as a percentage of the nominal value of the share, is called
Dividend
In how many ways can nine distinctive flowers of different colours be strong together to form a garland?
8!/2 or 20160
Tan75 is equal to
2+,/3
Arrangement of objects in specific order
PERMUTATION
A bag contains 5 white balls and 3 black balls.Two balls are drawn at random without replacement.Find the probability that both are white.
5/14
If the marked price of a table is ₹8,000 and the shopkeeper allows two successive discounts of 10% and 5%,what is the selling price?
6840
In how many ways can you go from A to B and return to A from a different route if there are 10 ways of travelling from A to B?
90
A box with a square base and open top must have a volume of 32,000 cm?.Find the dimensions that minimize the amount of material used.
Base 40cm and height 20cm
A diagonal matrix in which all the diagonal elements are the same is called
Scalar matrix
An urn contains 3 red and 2 blue balls. A ball is transferred to another urn that initially has 1 red and 4 blue, and then a ball is drawn from the second urn. The probability that this ball is red is
4/15
A shopkeeper in Punjab buys an article at a printed price of ? 20,000 from a wholesaler in Delhi. The shopkeeper sells the article to a customer in Punjab at a profit of 25% on the cost price. If the rate of GST is 18%, find:
i. the price of the article (inclusive of GST) for the shopkeeper.
ii. the amount of tax, under GST, paid by the shopkeeper to the government.
₹23600 and ₹900
How many numbers are there between 99 and 1000, having at least one of their digits 7?
252
From the top of a building 60 m high, the angle of elevation of the top of a tower is 30°, and the angle of depression of the foot of the tower is 60°.Find the height of the tower.
80m
In 1984, a mother was three times as old as her daughter.In 2008, the mother was twice as old as her daughter. In which year was the daughter born?
1960
What is the probability of having 53 Mondays in a leap and non-leap year?
1/7 and 2/7
A man buys 200 shares of face value ₹100 each at ₹120.The company declares a dividend of 15% on the face value.Find the yield percent on his investment.
12.5%
A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?
10 and 6
If sinA + cosA = 5/4 , find sin2A
9/16
Any 2 positive divisors of 83521 are ______ ( hint:not 1 and 83521)
17 or 289 or 4913