On solving the inequalities 6x + y >18, x+4y>12, 2x+y<10  we get the following situation:

Solve x +2 < 4

If one root of a equation is 2+√𝟓 , then the quadratic equation is :

Solve the inequality 3 – 2x≥15

Solve -1 < 2x +3 < 6

Ratio between 150 gm and 2 kg

If a: b = c: d = e: f = ……………, then each of these ratios is equal

Find the positive value of k for which the equations: x2 + kx +64 = 0 and x2–8x + k

= 0 will have real roots:

Seats for mathematics, physics and biology in a school are in the ratio 5:7:8, There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

If (2+y’3) is a root of a quadratic x2 + px +q = 0, then find the value of p and q.

The fourth proportional to 5, 8, 15 is:

The longest side of a triangle is three times the shortest side and third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61cm. find the minimum length of the shortest side.

If A: B = 2:3, B:C = 4:5 and C: D = 6:7, then find the value of A: B:C:D

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

If √𝟑 − 𝟐𝒙 + √𝟕 + 𝟐𝒙 = 4, then find the positive value of x?

Rohika invested 70,000 in a bank at the rate of 6.5% p.a. simple interest rate. He received 85,925 after the end of term. Find out the period for which sum was invested by Rahul.

Kanti Devi deposited some amount in a bank for 7 ½ years at the rate of 6% p.a. simple interest. Kanti Devi received ‘1, 01,500 at the end of the term. Compute initial deposit of kanti Devi initial deposit of kanti Devi

In how many different ways can a club with 10 members select a President, Secretary and Treasurer, if no member can hold two offices and each member is eligible for any office? 

When jiana arrives in New York, she has eight shops to see, but he has time only to visit six of them. In how many different ways can he arrange her schedule in New York? 

Bichara invest 3000 in a two-year investment that pays you 12% per annum. Calculate the future value of the investment.

A person has ten friends of whom six are relatives. If h invites five guests ‘SUCH’ that three are his relatives, then the total number of ways in which he can invite then are:

Find the 7th term of the A.P. 8, 5, 2, -1, -4,…

If 5th and 12th terms of an A.P. are 14 and 35 respectively, find the A.P.

Which term of the G.P.: 5, -10, 20, -40,… is 320?

From a group of 8 men and 4 women, 4 persons are to be selected to form a committee so that at least 2 women are there on the committee. In how many ways can it be done? 

Eight chairs are numbered from 1 to 8. Two women and three men are to be seated by allowing one chair for each. First, the women choose the chairs from the chairs numbered 1 to 4 and then men select the chairs from the remaining. The number of possible arrangements is:

If Rs. 10,000 is invested at 8% per year compound quarterly, then the value of the investment after 2 years is [given (1 + 0.2)8 = 1.171]

A bank pays 10% rate of interest; interest being calculated half yearly. A sum of Rs. 400 is deposited in the bank. The amount at the end of 1 year will be

A man invests an amount of Rs. 15,860 in the names of his three sons A,B and C in such a way that they get the same amount after 2,3 and 4 years respectively. If the rate of interest is 5%, then the ratio of amount invested in the name of A, B and C is A.

A sum was invested for 3 years as per C.I and the rate of interest for first year is 9%, 2nd year is 6% and 3rd year is 3% p.a. respectively. Find the sum if the amount in three years is ‘550? 

What will be the population after 3 years when present populations is Rs. 25,000 and populations increase at the rate of 3% in 1 year, at 4% in II year, and at 5% in III year?