Bissoy.com
Doctors Medicines MCQs Q&A

A person X wants to distribute some pens among six children A, B, C, D, E, and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

A person X wants to distribute some pens among six children A, B, C, D, E, and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number? Correct Answer 294

Calculation:

Let A gets x pens.

B = x/2

C = x/3

D = x/4

E = x/5

F = x/6

LCM of 2, 3, 4, 5, 6 = 60

The possible value of x = 60, 120, 180, .........

According to question

The number of pens each one gets is an even number

∴ x =120 ( as minimum possible value)

A =120

B = 60

C = 40

D = 30

E = 24

F = 20

Total number of pens = 294

Hence, option 3 is correct.

Related Questions

There are flowers in a basket which are to be distributed to five persons standing in a row. The second person received half of the number of flowers given to the first person, the third person received half of the number of flowers received to the second person; the fourth person received half of the number of flowers received to the third person and the fifth person received half of the number of flowers received to the fourth person. If the fifth person received only one flower and there is no flower remaining in the basket, how many flowers were their in the basket?
Some pens are divided among P, Q, R, and S. P gets twice the number of pens that Q gets. R gets the same number of pens as S gets. If P gets 25 pens more than S and the ratio of the number of pens that Q and R get 2 : 3, then what is the number of pens that S gets?
Rita, Sarita, Shyam, Raj, Raman and Rahul are six different persons who are going to buy different mobiles – Nokia, Vivo, Oppo, Iphone, Jio and Xioami in different months – January to June (but not necessarily in the same order). Raj will buy Jio mobile but not in February. Sarita will neither buy Vivo mobile nor Nokia. One of the people will buy Oppo in March. Sarita will buy mobile just immediate after Raj. Rahul will buy mobile immediate before Raj. Rahul will neither buy Vivo, Oppo nor Nokia. Shyam will not buy Oppo but will buy mobile immediate after Raman. Raman will neither buy Nokia nor Iphone. Which of the following combination is not correct?
A cinema house has 600 people. \(26\frac{2}{3}{\rm{\% }}\) People buy premium tickets and \(33\frac{1}{3}{\rm{\% }}\) People buy gold tickets and 40% of people buy platinum tickets. Only 5% of people buy both platinum and gold tickets and 10% of people buy both premium and platinum tickets and \(6\frac{2}{3}{\rm{\% }}\) of people buy both premium and gold tickets and 30 people buy all three types of tickets. Find the number of people who buy only one type of ticket.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(1) from the statements Statements: a) Some sketch pens are ink pens b) Some pencils are markers c) All ink pens are markers Conclusions: I. Some markers are sketch pens II. Some sketch pens are pencils III. Some markers are ink pens
A box contains a certain number of pens of different prices. There is N number of blue pens of Rs. 25 each, the number of red pens for Rs. 30 each are 20 less than blue pens. The price of Green pens is Rs. 10 each which is 50 less than the red pens. Total price of box is Rs. 3900 then find total number of pens in box.
In a box, the number of sketch pens is 20% more than the number of ball pens, then number of pencils is 25% less than the number of ink-pens. Total number of ball pens and pencils are equal in number and difference in number of ink-pens and number of sketch pens is 20. The number of sketch pens is what percent of total number of all four items in a box?
There are six students, P, Q, R, S, T, and U who have a different number of pens - 2, 4, 5, 7, 9, and 12 (not necessarily in the same order). The number of pens Q has is a prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q, but has more pens than S. Who has the second highest number of pens?
There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has is a prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Sid has a monthly income of Rs. 60000 out of which every month he saves some amount. He distributes some amount of money among his three sisters and one brother. Out of remaining amount of his income, he spends 40% on other things and rest of the amount is saved by him. What percent of money is received by each sister if each sister receives equal amount? Statement I: Each sister received Rs. 500 less than the amount received by brother and Sid’s other expenditure is Rs. 16800. Statement II: Sid saves Rs. 25200 on every month. Statement III: Each sister and brother received equal amount and saving are Rs. 25200.