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bhawna

· started a discussion

· 1 Months ago

explain it (Question: 118522.3 )

this is not given that quotient issame so how can solve

Question:
DIRECTIONS: The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer-

What is the value of the positive integer X?


(I) When 23 and 25 are divided by X, the remainders are 3 and 1 respectively and quotients are same in both the cases.


(II) When 24 is divided by X, the remainder is zero. 

Options:
A) If statement I alone is sufficient but statement II alone is not sufficient.
B) If statement II alone is sufficient but statement I alone is not sufficient.
C) If each statement alone (either I or II) is sufficient.
D) If statement I and II together are not sufficient.
E) If the statements I and II together are necessary to answer the question.
Solution:
Ans: (a)

Statement I:

23 - 3 = 20

25 - 1 = 24

20 & 24 are factors of 2 and 4.

Statement II:

24 is factor of 2,3,4,6,8,12,24.

There is no common value of x. So statement I alone is sufficient.

Knowledge Expert

· commented

· 1 Months ago

@bhawna

statement: When 23 and 25 are divided by X, the remainders are 3 and 1 respectively and quotients are same in both the cases.

Since, dividend=divisor*quotient+remainder

23=3x+y______(1)
25=1x+y __________(2)

Solve Equations (1) and (2), to get the value of x.

so, 1st statement is sufficient to answer the question.

bhawna

· commented

· 1 Months ago

plz explain it

Knowledge Expert

· commented

· 1 Months ago

yes quotient in both the cases should be same......we resolved it.....
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