April 2026

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?

Finding Number of Questions in the Test Video Explanation Question Yash scored 40 marks in a test, getting 3 marks for each correct answer and losing 1 mark for each wrong answer. If 4 marks were awarded for each correct answer and 2 marks deducted for each wrong answer, he would have scored 50 marks. […]

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test? Read More »

In a cyclic quadrilateral ABCD, ∠A=(2x+4)° ,∠B=(y+3)° ,∠C=(2y+10)° , ∠D=(4x – 5)° Find the four angles.

Finding Angles of a Cyclic Quadrilateral Video Explanation Question In a cyclic quadrilateral ABCD: \[ \angle A = (2x + 4)^\circ,\quad \angle B = (y + 3)^\circ,\quad \angle C = (2y + 10)^\circ,\quad \angle D = (4x – 5)^\circ \] Find all four angles. Solution Step 1: Concept Opposite angles of a cyclic quadrilateral are

In a cyclic quadrilateral ABCD, ∠A=(2x+4)° ,∠B=(y+3)° ,∠C=(2y+10)° , ∠D=(4x – 5)° Find the four angles. Read More »

In a △ABC,​ ∠A = x° ,∠B = (3x – 2)°, ∠C = y°.Also ∠C – ∠B = 9° .find the three angles .

Finding Angles of Triangle Video Explanation Question In a triangle ABC: \[ \angle A = x^\circ,\quad \angle B = (3x – 2)^\circ,\quad \angle C = y^\circ \] Also, \[ \angle C – \angle B = 9^\circ \] Find the three angles. Solution Step 1: Concept Sum of angles in a triangle = \(180^\circ\) — Step

In a △ABC,​ ∠A = x° ,∠B = (3x – 2)°, ∠C = y°.Also ∠C – ∠B = 9° .find the three angles . Read More »

2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it?

Men and Boys Work Problem Video Explanation Question 2 men and 7 boys can do a piece of work in 4 days. 4 men and 4 boys can do the same work in 3 days. In how many days will one man and one boy do the work? Solution Step 1: Let Variables Let work

2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it? Read More »

ABCD is a cyclic quadrilateral such that ∠A=(4y+20)°, ∠B=(3y−5)°, ∠C=(4x)° and ∠D=(7x+5)°. Find the four angles.

Finding Angles of a Cyclic Quadrilateral Video Explanation Question ABCD is a cyclic quadrilateral where: \[ \angle A = (4y + 20)^\circ,\quad \angle B = (3y – 5)^\circ,\quad \angle C = (4x)^\circ,\quad \angle D = (7x + 5)^\circ \] Find all four angles. Solution Step 1: Concept In a cyclic quadrilateral, opposite angles are supplementary:

ABCD is a cyclic quadrilateral such that ∠A=(4y+20)°, ∠B=(3y−5)°, ∠C=(4x)° and ∠D=(7x+5)°. Find the four angles. Read More »

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

Finding Money of A and B Video Explanation Question A and B each have some money. If A gives ₹30 to B, then B will have twice the money left with A. If B gives ₹10 to A, then A will have thrice as much as B. Find how much money each has. Solution Step

A and B each has some money. If A gives Rs 30 to B, then B will have twice the money left with A. But, if B gives Rs 10 to A, then a will have thrice as much as is left with B. How much money does each have? Read More »

The incomes of X and Y are in the ratio of 8 : 7 and their expenditures are in the ratio 19 : 16 . If each saves Rs 1250 , find their incomes.

Finding Incomes of X and Y Video Explanation Question The incomes of X and Y are in the ratio 8 : 7. Their expenditures are in the ratio 19 : 16. Each saves Rs 1250. Find their incomes. Solution Step 1: Let Variables Let incomes of X and Y be \(8x\) and \(7x\) respectively Let

The incomes of X and Y are in the ratio of 8 : 7 and their expenditures are in the ratio 19 : 16 . If each saves Rs 1250 , find their incomes. Read More »

In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 metres, the area of the rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle.

Finding Dimensions of a Rectangle Video Explanation Question In a rectangle, if length is increased by 3 m and breadth is decreased by 4 m, the area is reduced by 67 sq m. If length is decreased by 1 m and breadth is increased by 4 m, the area is increased by 89 sq m.

In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 metres, the area of the rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle. Read More »

The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. If the length is decreased by 7 metres and breadth is increased by 4 metres, the area is decreased by 21 sq. metres. Find the dimensions of the rectangle.

Finding Dimensions of a Rectangle Video Explanation Question The area of a rectangle remains the same if the length is increased by 7 m and the breadth is decreased by 3 m. If the length is decreased by 7 m and the breadth is increased by 4 m, the area is decreased by 21 sq

The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. If the length is decreased by 7 metres and breadth is increased by 4 metres, the area is decreased by 21 sq. metres. Find the dimensions of the rectangle. Read More »

If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle.

Finding Area of a Rectangle Video Explanation Question In a rectangle, if length is increased by 2 units and breadth is decreased by 2 units, the area decreases by 28 sq units. If length is decreased by 1 unit and breadth is increased by 2 units, the area increases by 33 sq units. Find the

If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle. Read More »