Question
LCM of two numbers is 56 times their HCF, with the sum
of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?Solution
Let, HCF = x and LCM = 56x So, x + 56x = 1710 ⇒ 57x = 1710 ⇒ x = 1710/57 = 30 Then, HCF = 30 and LCM = 30 × 56 = 1680 One number = 240 Let, another number = a Therefore, 30 × 1680 = 240 × a ⇒ a = (30 × 1680)/240 = 210 ∴ The other number is 210
4, 5, 11, 34, 137, ?
216, 81, 297, 378, ?, 1035, 1728
What will come in place of (?) question mark in the given number series.
960, 960, 480, ?, 40, 8
What will come in place of the question mark (?) in the following series?
12, 13, 27, ?, 329, 1646
864, 432, 144, ? , 7.2, 1.2
What will come in place of the question mark (?) in the following number series?
29, 30, 33, ?, 69, 150
What will come in place of the question mark (?) in the following series?
47, 56, 120, 145, ?, 410
30          162        344        ?             890        1270
...70, 69, 73, 64,80, 55, ?
120, 136, 111, 147, ?, 162