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Bunuel
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

The question asks "which of the following could NOT be the sum of these 2 integers"

So, if we find an answer choice that COULD be the sum of the 2 integers, we can ELIMINATE it.

-5 and -3 are two consecutive odd integers in which the smaller value (-5) is a multiple of 5
(-5) + (-3) = -8
ELIMINATE A

5 and 7 are two consecutive odd integers in which the smaller value (5) is a multiple of 5
5 + 7 = 12
ELIMINATE B

25 and 27 are two consecutive odd integers in which the smaller value (25) is a multiple of 5
25 + 27 = 52
ELIMINATE D

125 and 127 are two consecutive odd integers in which the smaller value (125) is a multiple of 5
125 + 127 = 252
ELIMINATE E

By the process of elimination, the correct answer is C

Cheers,
Brent
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if we consider option :
10 & 12 ---

smaller no. is a multiple of 5
Sum = 10+12 = 22

so Ans c seems not correct
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Bunuel
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION

Since the two integers are consecutive odd integers, the larger integer is 2 more than the smaller integer.

Let’s consider the answer choices.

Choice A: -5 + -3 = -8. This can work.

Choice B: 5 + 7 = 12. This can work.

Choice C: The only way to get the sum of two integers to be 22 when one integer is 2 more than the other is with 10 and 12. However, they are NOT consecutive odd integers. So 22 could NOT be the sum of the 2 consecutive odd integers

Answer: C
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Bunuel
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION

We can check the answer choices:

-5 + (-3) = -8, so A works.

5 + 7 = 12, so B works

We see that there is no way to get 22.

Answer: C
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I don't know the function of "smaller"
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fighting750
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

I don't know the function of "smaller"

The "smaller" refers to the first of the two consecutive odd integers. For example, if you have two consecutive odd integers like 5 and 7, 5 is the smaller one. The question is asking about a situation where the smaller integer is a multiple of 5, and you need to determine which of the given options cannot be the sum of those two consecutive odd integers.
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Let the two consecutive odd integers be
2k-1 and 2k+1

We have that 2k-1 = 5p
Therefore 2k = 5p+1

Sum of the two integers is 4k = 10p+2

Now check the options.
Keep in mind that 2k -1 is still odd. So P CANNOT be EVEN

Therefore, C
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we are looking for consecutive odd integers only 10 and 12 are even
kiran1989raj
if we consider option :
10 & 12 ---

smaller no. is a multiple of 5
Sum = 10+12 = 22

so Ans c seems not correct
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If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


Some quick trial and error using multiples of 5 around half the value of the answer choices could be helpful.

-5 + (-3) = -8

0 is even so we can't use it.

5 + 7 = 12

10 + 12 is 22... but since 10 is an even integer, this one fails.

We don’t really have to check the others at this point!

(C) is your answer.