Bissoy.com
Doctors Medicines MCQs Q&A

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one; if he packs 7 in a parcel, none is left over. What is the number of boxes he may have to pack?

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one; if he packs 7 in a parcel, none is left over. What is the number of boxes he may have to pack? Correct Answer 301

Given:

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one

Calculation:

going as per option 1, we have 

⇒ 106/(3, 4, 5 or 6) does not leave the remainder as 1

going as per option 2, we have 

⇒ 301/(3, 4, 5 or 6) does leave the remainder as 1 and is also divisible by 7

going as per option 3, we have 

⇒ 309/(3, 4, 5 or 6) does not leave the remainder as 1

going as per option 4, we have 

⇒ 400/(3, 4, 5 or 6) does not leave the remainder as 1

∴ required number of boxes he may have to pack = 301          

Related Questions

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel he is left with one box; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack ?
A man has a certain number of small boxes to pack into parcles. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcle, none is left over. What is the number of boxes, he may have to pack?
A shopkeeper bought 600 kg of rice at Rs 24/kg as packs of 3 kg. But he dishonestly only packs 2.5 kg/packs. He knows 10% of the customers (each customer buys only 1 pack) will find out. For those customers he needs to sell the pack at the selling price of 1 kg. He wishes to make an overall profit of 30%. What should be the selling price per pack? (in rupees and approximated to nearest integer)
A man ordered several boxes of sweets for Diwali. He gave 25% of the boxes to his friends and 80% of the remaining to his relatives. He takes 12 boxes with him and distributes the remaining boxes to the poor people. If the number of boxes distributed in poor people is 10% of the total boxes order, then how many boxes of sweets did he ordered?
A retailer buys pens in packs of 24 for Tk.336/pack and then resells them in packs of 5 for Tk.80/pack. If the retailer sold all the pens it purchased and made a profit of Tk.960. How many packs of pens did the retailer purchase?
You are given a question and two statements. Decide which of the statement(s) is/are necessary/sufficient to answer the question- Question: Latika has 25 boxes of 3 sizes (small, medium, and big). How many big size boxes does he have? Statement: 1. The number of large boxes is half the number of medium-sized boxes. 2. The number of small boxes is 10.
Meena goes to a post office to post mail/letter and parcels. The postal rate is given below: Letter weighing i) 25 gram or less - Rs. 15 ii) Per every additional 20 gram Parcel weighing - Rs. 7 i) 60 gram or less - Rs. 55 ii) For every additional 50 gram - Rs. 15 Meena wants to send one letter of weight 20 gram and two parcels of each to 310 gram and 460 gram respectively. How much money Meena have to pay?
You have 20 big and 16 small diaries and want to make gift packs containing both in each pack. What is the maximum number of gift packs you can make without any left over? A. 5 B. 4 C. 3 D. 2
You have 20 big and 16 small diaries and want to make gift packs containing both in each pack. What is the maximum number of gift packs you can make without any left over?
Deepa goes to a post office to post-mail letters and parcels. The postal rates depicted are as below: Letter Weighting: i) 20 g or less – Rs. 5.00 ii) Per every additional 20 g – Rs. 2.00 Parcel Weighting: i) 50 g or less – Rs. 5.00 ii) For every additional 50 g – Rs. 3.00 Deepa wants to send two parcels weighing 250 g and 300 g respectively and two letters each to 20 g and 35 g respectively. How much postal charge does she have to pay?