If ▢ and △ represent digits, is the 5-digit number 14,2▢△ divisible

Question

If  \square  and  	riangle  represent digits, is the 5-digit number  14,2\square 	riangle  divisible by 25.

(1)  \square + 	riangle = 12 
(2) The 5-digit number  14,2\square 	riangle  is divisible by 5.

DS20434

yashikaaggarwal · Answer

Sir statement 2 is making five digit no. Kindly confirm whether its a square on unit place or triangle

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Bunuel · Answer

Edited. It's: (2) The 5-digit number  14,2\square 	riangle  is divisible by 5.

yashikaaggarwal · Answer

Answer is C

Statement 1 :   + ∆ = 12
Now the ordered pair can be 
(9,3)(8,4)(7,5)(6,6)(5,7)(4,8)(3,9) (not sufficient)

Statement 2: 
14,2 ∆ is divisible by 5,
That means ∆ is 5,
But   can be any integer from 1to 9 (not sufficient)

Statement 1&2: 
 +∆= 12 => ∆=5
=>   = 12-5
  = 7

Putting value of  &∆ in 14,2 ∆ 
We get 14,275 which is divisible by 25.

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Kinshook · Answer

Asked: If  \square  and  	riangle  represent digits, is the 5-digit number  14,2\square 	riangle  is divisible by 25.
For a number to be divisible by 25, last 2 digits should be {00,25,50,75}

(1)  \square + 	riangle = 12 
If  (\square, 	riangle) = (8,4); NO
Bur if  (\square, 	riangle) = (7,5); YES
NOT SUFFICIENT

(2) The 5-digit number  14,2\square 	riangle  is divisible by 5.
 	riangle  = {0,5}
If  \square = 1 ; NO
But if  (\square, 	riangle)  = {(0,0),(2,5),(5,0),(7,5)}; YES
NOT SUFFICIENT

(1) +(2) 
(1)  \square + 	riangle = 12 
(2) The 5-digit number  14,2\square 	riangle  is divisible by 5.
  	riangle  = {0,5}
 (\square, 	riangle) = (7,5) ; Since  (	riangle, \square) 
eq (12,0) 
SUFFICIENT

IMO C

rishab0507 · Answer

If □◻ and △△ represent digits, is the 5-digit number 14,2□△ divisible by 25.

(1) □+△=12
(2) The 5-digit number 14,2□△ is divisible by 5.

For digit to be divisible by 25 it should end with 25 ,50 ,75, or 00.
(1) □+△=12
Possibilities of pairs (9,3) (8,4), (7,5) (6,6) 
Pair 7,5 is divisible by 25 but other pairs are not.
Insufficient

(2) The 5-digit number 14,2□△ is divisible by 5.
possible answers △ can take 0 and 5, But □ can be 1-9 any values But not all divisible by 25 like pair (4,0) (4,5) and more
 Insufficient

Combining 1 and 2 :
Only pair 7,5 can be answer: Adds to 12 and divisible by 5 and pair 7,5 will be divisible by 25.
Sufficient

IMO C

sampad · Answer

The number which is divisible by 25 that number has to be divisible by 5 also. In that case state A is sufficient to ans the question. i dont agree with the solution.

Bunuel · Answer

This is an official question and the correct answer is C. We are not given that the number is divisible by 25, the question asks whether the number is divisible by 25.

bumpbot · Answer

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If ▢ and △ represent digits, is the 5-digit number 14,2▢△ divisible

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GMAT Data Sufficiency (DS) Questions

If ▢ and △ represent digits, is the 5-digit number 14,2▢△ divisible

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