Four bells of a church begin tolling at 6 AM. They toll at intervals of 5, 8, 10 and 12 minutes respectively. When will the bells toll together next?

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KPTCL Assistant Exam (Mescom) SLOT-1 7-MAY­-2017 click here to view all questions

Four bells of a church begin tolling at 6 AM. They toll at intervals of 5, 8, 10 and 12 minutes respectively. When will the bells toll together next?

A9 AM

B8 AM

C7.30 AM

D7 AM

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If x is a prime number, LCM of x and its successive number would be ......

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RRB Non Technical Exam (Secunderabad) 2016 click here to view all questions

If x is a prime number, LCM of x and its successive number would be ......

Ax

BX + 1

Cx (x + 1)

Dx/(x+1)

rahul ? Jan 14 '2020 at 9:36

Correct anwer is: x (x + 1)

Explanation:

We know that,

2, 3, 5, 7……. are prime numbers.

Let us solve this question by substituting the above prime numbers.

If x = 2 then (x + 1) = 3

⇒ LCM of 2 and 3 = 2× 3 = x × (x + 1) = 6

If x = 3 then (x + 1) = 4

⇒ LCM of 3 and 4 = 3 × 4 = x × (x + 1) = 12

∴ If x is a prime number, LCM of x and its successive number = x(x + 1)

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The L.C.M. of 26, 56, 104 and 182 is-

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RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

The L.C.M. of 26, 56, 104 and 182 is-

A456

B728

C748

D1274

prakash ? Jan 15 '2020 at 13:30

Correct answer is: 728

Explanation:

Prime factorization of 26 = 2 * 13

Prime factorization of 56 = 2 * 2 * 2 * 7

Prime factorization of 104 = 2 * 2 * 2 * 13

Prime factorization of 182 = 2 * 7 * 13

LCM(26,56,104,182) = 2 * 2 * 2 * 7 * 13

                                  = 728.

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The H.C.F. of 595 and 252 is-

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RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

The H.C.F. of 595 and 252 is-

A1

B7

C11

D17

rohan ? Jan 15 '2020 at 13:32

Correct answer is: 7

Explanation:

Prime factorisation of 595 = 5 × 17 × 7

Prime factorisation of 252 = 2 × 2 × 3 × 3 × 7

Therefore,

HCF of 595 and 252 = 7

We know that,

One Number × Other Number = HCF × LCM

595 × 252 = 7 × LCM

LCM = 595 × 252/7

LCM = 21420

Hence,

LCM and HCF of 595 and 252 is 21420 and 7.

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The HCF of two numbers is 23 and other two factors of their LCM are 13 and 14. The larger of two numbers is

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RRB GG Exam (Bhopal) 2009 click here to view all questions

The HCF of two numbers is 23 and other two factors of their LCM are 13 and 14. The larger of two numbers is

A276

B299

C345

D322

rahul ? Jan 11 '2020 at 16:58

Correct answer is: 322

Explanation:

Let the numbers be 23x and 23y where x and y are co-prime to each other.
∴ LCM = 23xy
As given,
23xy = 23  13  14
∴ x = 13, y = 14
∴ The larger number = 23y = 23  14 = 322

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