Infinite Inspire- 25

Linear Equation

100

For what value of k, 2x + 3y = 4 and (k+2)x + 6y = 3K + 2 will have infinitely many solutions.

K= 2

200

Meena went to a bank to withdraw Rs. 2,000. She asked the cashier to give her Rs. 50 & Rs. 100 notes only. Meena got 25 notes in all. Find how many notes of Rs. 50 & Rs. 100 she received by any algebraic        method.

Rs.50 notes=10 notes.

Rs.100 notes=15 notes.

300

Each one of A and B has some money. If A gives ` 30 to B then B will have twice the money left with A. But, if B gives ` 10 to A then A will have thrice as much as is left with B. How much money does each have?

Answer: A has Rs. 62 and B has Rs. 34.

Arithmatic Progression

100

Find the 5th tem of the A.P., √2, √8, √18, √32……………

Answer: √50

200

In an A.P., if the 12th term is -13 and the sum of its first four terms is 24, find the sum of its first     ten terms.

a=9

d=-2

Sum of 10 Terms = 0

Surface area & Volume

100

If the circumference of the base of a cylinder is 44 cm and height is 20 cm, then its L.S.A is

Area= 440 Sp.Cm

200

Two cubes each of volume 8 cm3 are joined end to end, then find the surface area of resulting  cuboid.

Area=40cm²

Trigonometry

100

. If sin𝜃 = 𝑥/y the cos𝜃 is

= √(𝑦²− 𝑥²)/ 𝑦 

200

sin²30°.cos²45° + 4tan²30° +1/2 sin²90°+1/8 cot²60° = ?

Ans: 2