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Hovkial
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A number is greater than the square of 44 but smaller than the square 05 Sep 2019, 10:32
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

67% (02:20) correct 33% (02:21) wrong based on 92 sessions

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A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110
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C
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A number is greater than the square of 44 but smaller than the square 05 Sep 2019, 20:34
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44^2<N<45^2
1936<N<2025

Eliminate A, D and E

Also, N is a multiple of 36 and 5
Eliminate B

C

Hovkial
A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110
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A number is greater than the square of 44 but smaller than the square 05 Sep 2019, 22:35
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Hovkial
A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110

What is the source of this question?
"One part of the number is the square of 6" - doesn't make any sense
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Hovkial
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A number is greater than the square of 44 but smaller than the square 07 Sep 2019, 09:29
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Hovkial
A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110

Let the number be x.

Then, \(44^2 < x < 45^2\)

or, 1936 < x < 2025 ... (1)

Therefore, the number lies between 1936 and 2025.

It is also given that one part of the number is the square of 6. This means that one factor will be 36.

LCM of 36 and 5 = 180.

Therefore, the number will be a multiple of 180,

i.e., x = 180 x 11 = 1980.

This is the only value that satisfies the condition in equation (1).
ANSWER: (C)
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A number is greater than the square of 44 but smaller than the square 08 Sep 2019, 00:38
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Hovkial
Hovkial
A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110

Let the number be x.

Then, \(44^2 < x < 45^2\)

or, 1936 < x < 2025 ... (1)

Therefore, the number lies between 1936 and 2025.

It is also given that one part of the number is the square of 6. This means that one factor will be 36.


Certainly not GMAT language.
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Hovkial
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A number is greater than the square of 44 but smaller than the square 08 Sep 2019, 02:37
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VeritasKarishma

Certainly not GMAT language.

This is a practice question. GMAT would use different language.
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A number is greater than the square of 44 but smaller than the square 08 Sep 2019, 02:42
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Hovkial
A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110

IMHO the highlighted part must be " the number is divisible by the square of 6 " , please check...
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A number is greater than the square of 44 but smaller than the square 08 Sep 2019, 23:10
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Hovkial
Hovkial
A number is greater than the square of 44 but smaller than the square of 45. One part of the number is the square of 6 and the number is a multiple of 5. What is the number?

(A) 1810

(B) 1940

(C) 1980

(D) 2080

(E) 2110

Let the number be x.

Then, \(44^2 < x < 45^2\)


or, 1936 < x < 2025 ... (1)

Therefore, the number lies between 1936 and 2025.

It is also given that one part of the number is the square of 6. This means that one factor will be 36.

LCM of 36 and 5 = 180.

Therefore, the number will be a multiple of 180,

i.e., x = 180 x 11 = 1980.

This is the only value that satisfies the condition in equation (1).
ANSWER: (C)


"one part of the number is square of 6" could also mean the number has 36 in it. in option 'b', product of 4 and 9 is 36, and its a multiple of 5. i feel answe is 'B'
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