Questions Archive - Page 118 Of 158

Question

Divide ₹ 21,866 into two parts such that the amount of the first part for 3 years and amount of the second part for 5 years are equal at the same rate of 5% compound interest.

Divide ₹ 21,866 into two parts such that the amount of the first part for 3 years and amount of the second…

13/10/2025

Question

In a joint business the Capital of Samar and Mohim are ₹ 20,000 each. After 6 months Samar invests ₹ 5,000 more, but Mohim withdraws ₹ 5,000. At the end of the year if the profit is ₹ 32,000 then find the share of the profit of Samar and Mohim.

In a joint business the Capital of Samar and Mohim are ₹ 20,000 each. After 6 months Samar invests ₹ 5,000 more,…

13/10/2025

Question

The Median of first (2n + 1) natural numbers is (n + 103)/3. Find the value of n.

The Median of first (2n + 1) natural numbers is . Find the value of n.

13/10/2025

Question

The ratio of the length of radius of two solid right circular cylinders is 2:3 and the ratio of their heights is 5:3. Find the ratio of the area of curved surfaces.

The ratio of the length of radius of two solid right circular cylinders is 2:3 and the ratio of their heights is…

13/10/2025

Question

If x be the number of edges of a parallelepiped and y be the number of surfaces then for what least value of a, (x + y + a) is a perfect square?

If x be the number of edges of a parallelepiped and y be the number of surfaces then for what least value…

13/10/2025

Question

If cos⁴θ – sin⁴θ = [katex] \frac{2}{3} [/katex], find the value of 1 – 2 sin²θ.

If cos⁴θ – sin⁴θ = , find the value of 1 – 2 sin²θ.

13/10/2025

Question

If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.

13/10/2025

Question

O is a point inside a rectangle ABCD such that OB = 6 cm, OD = 8 cm and OA = 5 cm. Find OC.

O is a point inside a rectangle ABCD such that OB = 6 cm, OD = 8 cm and OA = 5…

13/10/2025

Question

From an external point P of a circle with centre O, two tangents PS and PT are drawn. QS is a chord of the circle parallel to PT. If ∠SPT = 80°, then find the value of ∠QST.

From an external point P of a circle with centre O, two tangents PS and PT are drawn. QS is a chord…

13/10/2025

Question

Perimeters of two similar triangles are 27 cm and 16 cm. If the length of a side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle.

Perimeters of two similar triangles are 27 cm and 16 cm. If the length of a side of the first triangle is…

13/10/2025

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Divide ₹ 21,866 into two parts such that the amount of the first part for 3 years and amount of the second part for 5 years are equal at the same rate of 5% compound interest.

In a joint business the Capital of Samar and Mohim are ₹ 20,000 each. After 6 months Samar invests ₹ 5,000 more, but Mohim withdraws ₹ 5,000. At the end of the year if the profit is ₹ 32,000 then find the share of the profit of Samar and Mohim.

The Median of first (2n + 1) natural numbers is (n + 103)/3. Find the value of n.

The ratio of the length of radius of two solid right circular cylinders is 2:3 and the ratio of their heights is 5:3. Find the ratio of the area of curved surfaces.

If x be the number of edges of a parallelepiped and y be the number of surfaces then for what least value of a, (x + y + a) is a perfect square?

If cos⁴θ – sin⁴θ = [katex] \frac{2}{3} [/katex], find the value of 1 – 2 sin²θ.

If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.

O is a point inside a rectangle ABCD such that OB = 6 cm, OD = 8 cm and OA = 5 cm. Find OC.

Perimeters of two similar triangles are 27 cm and 16 cm. If the length of a side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle.

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