29 Questions
What is the value of k in the quadratic equation 3x2 – kx – 2 = 0, if x = 2?
4
What is the sum of the roots of the quadratic equation 14x2 – 27x + k = 0, if x = 5/2?
10
What is the value of x in the quadratic equation 2qx2 – (2q – p2)x – p2 = 0, if x = 1?
p2
What is the value of a in the quadratic equation a(x2 + 1) = x(a2 + 1), if x = 1?
1
What is the value of k in the quadratic equation 9x – 9(a + b)x + (2a2 + 5ab + 2b2) = 0, if x = 1?
2a2 + 5ab + 2b2
What is the value of x in the quadratic equation x – (p + q)x + p q = 0, if p = 2 and q = 3?
2
What is the condition for dividing 41 into two positive parts?
The difference of their squares is 369
What is the product of two consecutive odd numbers?
483
What is the condition for dividing 16 into two parts?
Twice the square of the larger part exceeds the square of the smaller part by 164
What is the result of subtracting the reciprocal of a fraction from it?
11/30
What happens when one is added to both numerator and denominator of a fraction?
The difference between the new and the original fraction is 1/24
What is the sum of the ages of a son and his father?
35 years
If the two trains travel in different directions and are 130 Km apart after 2 hours, what is the difference in their speeds?
35 Km/h
What is the speed of the express train?
48 Km/h
How many arrows did Arjun have?
36
How many books did the shopkeeper buy?
16
How many days was the person's tour originally for?
15 days
What was the original duration of the flight?
1.5 hours
If a piece of cloth costs Rs 6500 and the cost of piece would have remained unchanged if the piece were 5 m longer and each metre of cloth costs Rs 2 less, what is the original length of the piece?
20 m
Rs 6,500 were divided equally among a certain number of persons. If there were 15 more persons, each would have got Rs 30 less. What is the original number of persons?
25
The sum of first n natural numbers is given by S = n (n + 1) = 351. What is the value of n?
21
If the cost of piece would have remained unchanged if the piece were 5 m longer and each metre of cloth costs Rs 2 less, what is the original rate per meter?
Rs 10
The sum S of first n natural numbers is given by S = n (n + 1) = 351. What is the value of (n + 1)?
26
If the length of the hypotenuse of a right triangle is one unit more than twice the length of the shortest side, what is the relationship between the other side and the shortest side?
It is one unit less than twice the length of the shortest side
If the hypotenuse of a right triangle is 3√5 cm, what happens when the smaller side is tripled and the larger side is doubled?
The new hypotenuse will be 15 cm
If the hypotenuse of a right triangle is 6m more than twice the shortest side, what is the relationship between the third side and the hypotenuse?
The third side is 2m less than the hypotenuse
If the area of a right-angled triangle is 600 sq.cm, what is the difference between the base and the altitude?
The base exceeds the altitude by 10 cm
If the length of a rectangle exceeds its width by 8 cm, what is the area of the rectangle?
The area of the rectangle is 240 sq.cm
If a rectangular field is 16m long and 10m wide, what is the area of the path around it?
The area of the path is 120 sq.cm
Solve quadratic equations and find the value of k in given equations. This quiz covers various types of quadratic equations and their solutions.
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