Practice 20 Data Sufficiency multiple-choice questions designed for CDAC CCAT exam preparation. Click "Show Answer" to reveal the correct option with detailed explanation.
Is x positive?
Statement I: x² > 0
Statement II: x³ > 0Show Answer & Explanation
Correct Answer: B — Statement II alone is sufficient
Statement I: x² > 0 means x ≠0, but x could be positive or negative. Statement II: x³ > 0 means x > 0 (positive). Statement II alone is sufficient.
What is the value of x?
Statement I: x + y = 10
Statement II: x - y = 4Show Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Using both: x+y=10 and x-y=4. Adding: 2x=14, x=7. Both are needed.
Is n divisible by 6?
Statement I: n is divisible by 2
Statement II: n is divisible by 3Show Answer & Explanation
Correct Answer: C — Both statements together are sufficient
n divisible by 6 requires divisibility by both 2 and 3. Both statements together confirm this.
What is the area of the circle?
Statement I: Circumference is 22 cm
Statement II: Diameter is 7 cmShow Answer & Explanation
Correct Answer: D — Either statement alone is sufficient
From circumference: 2Ï€r = 22, r = 3.5. From diameter: r = 3.5. Either gives the radius.
Is p > q?
Statement I: p = q + 5
Statement II: p + q = 15Show Answer & Explanation
Correct Answer: A — Statement I alone is sufficient
Statement I: p = q + 5 means p > q directly. Statement I alone is sufficient.
What is the speed of the train?
Statement I: The train crosses a pole in 10 seconds
Statement II: The train is 200m longShow Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Speed = Length/Time. We need both length (200m) and time (10s) to find speed = 20 m/s.
Is the triangle right-angled?
Statement I: Sides are in ratio 3:4:5
Statement II: One angle is 90°Show Answer & Explanation
Correct Answer: D — Either statement alone is sufficient
3:4:5 is a Pythagorean triplet (right triangle). Statement II directly states 90°. Either is sufficient.
What is A's age?
Statement I: A is 5 years older than B
Statement II: B is 3 years younger than C who is 25 years oldShow Answer & Explanation
Correct Answer: C — Both statements together are sufficient
From II: C = 25, B = 22. From I: A = B + 5 = 27. Both needed.
What is the profit percentage?
Statement I: Selling price is ₹120
Statement II: Cost price is ₹100Show Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Profit% = (SP-CP)/CP × 100. Need both SP and CP. Both statements together give the answer: 20%.
Is x an even number?
Statement I: x + 2 is divisible by 4
Statement II: x is divisible by 2Show Answer & Explanation
Correct Answer: D — Either statement alone is sufficient
Statement II directly says x is divisible by 2 (even). Statement I: if x+2 is divisible by 4, x+2 is even, so x is even. Either is sufficient.
What is the area of the rectangle?
Statement I: Perimeter is 24 cm
Statement II: Length is twice the breadthShow Answer & Explanation
Correct Answer: C — Both statements together are sufficient
From II: L=2B. From I: 2(L+B)=24, so 2(2B+B)=24, 6B=24, B=4, L=8. Area=32 sq cm. Both needed.
Is n divisible by 12?
Statement I: n is divisible by 4
Statement II: n is divisible by 3Show Answer & Explanation
Correct Answer: C — Both statements together are sufficient
For n to be divisible by 12, it must be divisible by both 3 and 4 (coprime factors). Both statements together are sufficient.
What is the cost of 5 pens?
Statement I: Cost of 3 pens is Rs. 60
Statement II: Cost of 2 pens and 3 pencils is Rs. 50Show Answer & Explanation
Correct Answer: A — Statement I alone is sufficient
From Statement I: 1 pen = Rs. 20, so 5 pens = Rs. 100. Statement I alone is sufficient.
Is x > y?
Statement I: x - y = 5
Statement II: x/y > 1Show Answer & Explanation
Correct Answer: A — Statement I alone is sufficient
Statement I: x-y=5 means x>y. Statement II: x/y>1 means x>y only if y>0 (not certain). Statement I alone is sufficient.
What is the compound interest on Rs. 1000 for 2 years?
Statement I: Simple interest for same period is Rs. 200
Statement II: Rate of interest is 10% per annumShow Answer & Explanation
Correct Answer: D — Either statement alone is sufficient
From I: SI=200 for 2 years, Rate=10%. From II: Rate=10% directly. Either gives rate, then CI can be calculated.
How many students passed?
Statement I: Total students = 50
Statement II: 80% students passedShow Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Need total and percentage both. 50 × 0.8 = 40 passed. Both statements together needed.
What is the volume of the cube?
Statement I: Surface area is 150 sq cm
Statement II: Diagonal of one face is 5*sqrt(2) cmShow Answer & Explanation
Correct Answer: D — Either statement alone is sufficient
From I: 6a²=150, a²=25, a=5. Volume=125. From II: face diagonal=a*sqrt(2)=5*sqrt(2), a=5. Volume=125. Either sufficient.
In how many days can A and B together complete work?
Statement I: A alone takes 12 days
Statement II: B alone takes 18 daysShow Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Together: 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 days. Both statements needed.
Is n a prime number?
Statement I: n is odd
Statement II: n is between 10 and 15Show Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Odd numbers between 10-15: 11, 13 (both prime). Wait, 15 is odd but not prime if included. Between 10-15 (exclusive): 11, 13 (prime). Both together identify n as prime.
What is the average of 5 numbers?
Statement I: Sum of first 3 numbers is 30
Statement II: Sum of last 2 numbers is 20Show Answer & Explanation
Correct Answer: C — Both statements together are sufficient
Total sum = 30 + 20 = 50. Average = 50/5 = 10. Both statements together are sufficient.