(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

If 2a = 3b and 4b = 5c, find: a : c.

Find the compound ratio of 2 : 3, 9 : 14 and 14 : 27

Find the compound ratio of 2a : 3b, mn : x² and x : n

Find the compound ratio of `sqrt(2) : 1, 3: sqrt(5)` and `sqrt(20) : 9`

Find duplicate ratio of 3 : 4

Find duplicate ratio of `3sqrt(3) : 2sqrt(5)`

Find triplicate ratio of 1 : 3

Find triplicate ratio of `m/2 : n/3`

Find sub-duplicate ratio of 9 : 16

Find sub-duplicate ratio of (x – y)⁴ : (x + y)⁶

Find sub-triplicate ratio of 64 : 27

Find sub-triplicate ratio of x³ : 125y³

Find the reciprocal ratio of `x/3 : y/7`

If (x + 3) : (4x + 1) is the duplicate ratio of 3 : 5, find the value of x.

If m : n is the duplicate ratio of m + x : n + x; show that x² = mn.

If (3x – 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x.

Find the ratio compounded of the reciprocal ratio of 15 : 28, the sub-duplicate ratio of 36 : 49 and the triplicate ratio of 5 : 4.

If r² = pq, show that p : q is the duplicate ratio of (p + r) : (q + r).

If (p – x) : (q – x) be the duplicate ratio of p : q then show that : `1/p + 1/q = 1/x`.

If a : b = 3 : 5, find: (10a + 3b) : (5a + 2b)