CONCEPT used :HCF is the highest common factor If 3 NUMBERS A, B and C are divided by a greatest number 'P' and leaves the same remainder each time, then the value of P will be HCF of (A - B) (B - C) and (A - C) Calculations :We have to FIND HCF of (1134 - 1062), (1182 - 1134) and (1182 - 1062)1134 - 1062 = 72 1182 - 1134 = 48 1182 - 1062 = 120 ⇒ 72 = 23 × 32 ⇒ 48 = 24 × 3 ⇒ 120 = 23 × 3 × 5 HCF of 72, 48 and 120 is 23 × 3 = 24 (24 is the highest common factor among all)Now,Remainder when 1062 is divided by 24 is 6 So, x = 24 and y = 6 ⇒ x - y = 24 - 6⇒ 18 ∴ The value of (x - y) will be 18 "> CONCEPT used :HCF is the highest common factor If 3 NUMBERS A, B and C are divided by a greatest number 'P' and leaves the same remainder each time, then the value of P will be HCF of (A - B) (B - C) and (A - C) Calculations :We have to FIND HCF of (1134 - 1062), (1182 - 1134) and (1182 - 1062)1134 - 1062 = 72 1182 - 1134 = 48 1182 - 1062 = 120 ⇒ 72 = 23 × 32 ⇒ 48 = 24 × 3 ⇒ 120 = 23 × 3 × 5 HCF of 72, 48 and 120 is 23 × 3 = 24 (24 is the highest common factor among all)Now,Remainder when 1062 is divided by 24 is 6 So, x = 24 and y = 6 ⇒ x - y = 24 - 6⇒ 18 ∴ The value of (x - y) will be 18 ">
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When 1062, 1134 and 1182 are divided by the greatest numbers x, remainder in each case is y. What is the value of (x - y)?

General Knowledge General Awareness in General Knowledge 9 months ago

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CONCEPT used :HCF is the highest common factor If 3 NUMBERS A, B and C are divided by a greatest number 'P' and leaves the same remainder each time, then the value of P will be HCF of (A - B) (B - C) and (A - C) Calculations :We have to FIND HCF of (1134 - 1062), (1182 - 1134) and (1182 - 1062)1134 - 1062 = 72 1182 - 1134 = 48 1182 - 1062 = 120 ⇒ 72 = 23 × 32 ⇒ 48 = 24 × 3 ⇒ 120 = 23 × 3 × 5 HCF of 72, 48 and 120 is 23 × 3 = 24 (24 is the highest common factor among all)Now,Remainder when 1062 is divided by 24 is 6 So, x = 24 and y = 6 ⇒ x - y = 24 - 6⇒ 18 ∴ The value of (x - y) will be 18
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Posted on 24 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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