Home › CMAT › analyticalability › Data Sufficiency › What is the area of the square? (I) The perimete…
What is the area of the square? (I) The perimeter of the square is a multiple of 4. (II) The diagonal of the square is 17√2 cm.
AStatement (I) alone is sufficient
BStatement (II) alone is sufficient
CBoth statements together are sufficient
DEven together not sufficient
Answer & Solution
Correct answer: B. Statement (II) alone is sufficient
1. (I) Perimeter divisible by 4 is true for every square with integer side. It gives no specific side. Not sufficient.
2. (II) Diagonal = side × √2 = 17√2, so side = 17 cm. Area = 17² = 289 cm². Sufficient.
3. So (II) alone determines the area.
_Source: TSICET 2024 PYQ Q.3 (Shift 1, Data Sufficiency)_
Related questions
How many students passed?
(1) 30 students total
(2) 60% passedIs 1/x > 1?
(1) x is positive
(2) x < 1Are sets A and B disjoint?
(1) A ∩ B = ∅
(2) A and B nonemptyHow old is John?
(1) Twice his age 4 years ago = 20
(2) He is older than 12Is the rectangle a square?
(1) Perimeter = 20
(2) All sides equalAre the lines perpendicular?
(1) Slopes are m and −1/m
(2) Slopes are 2 and −1/2Value of x in 5x − 10 = 0?
(1) x is rational
(2) 5x = 10Is the integer p prime?
(1) p has exactly 2 divisors
(2) p > 2