Searching for "remainders"

Q:

Find the greatest number which on dividing 391 and 318 leaves remainders 7 and 6 respectively.

A) 20 B) 23
C) 24 D) 32
 
Answer & Explanation Answer: C) 24

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.

A) 262 B) 131
C) 65.5 D) 393
 
Answer & Explanation Answer: B) 131

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

A) 540 B) 538
C) 542 D) 552
 
Answer & Explanation Answer: B) 538

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

Find 150% of X, if X is the least number which when divided by 6, 7, 8, 9 and 12 leaves remainders 2, 3, 4, 5 and 8 respectively.

A) 750 B) 500
C) 1000 D) 1200
 
Answer & Explanation Answer: A) 750

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

Statement: People in Pratapgarh are not paying their telephone bills in spite of the various verbal warnings and remainders. It has now informed the subscribers through a notification that those who do not pay their bills by the due date will be charged penalty for every defaulting day.
Course of action:
a. Majority of people may pay their bills by the due date to avoid penalty.
b. People generally pay heed to such statutory notifications.

A) Only a follows B) Both a & b follows
C) Only b follows D) Neither a nor b follows
 
Answer & Explanation Answer: B) Both a & b follows

Explanation:

Enforcing a penalty will motivate people to pay the bills. So, course of action a follows.
It is general tendency to act accordingly when a penalty clause slapped. So, course of action b follows.

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Filed Under: Statement and Courses of Action
Exam Prep: Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

Q:

How many remainders are possible if 16n is divided by 9 for any positive integral value of n ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

When 16nis divided by 9, we have

 1619, remainder = 7  

1629, remainder = 4 

1639, remainder = 1 

1649, remainder = 7 

1659, remainder = 4 

1669, remainder = 1 

So, we have cyclicity of 3 factors i.e 7,4,1. 

Hence only 3 remainders are possible.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

Q:

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A) 123 B) 127
C) 235 D) 305
 
Answer & Explanation Answer: B) 127

Explanation:

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

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Filed Under: HCF and LCM