DI DS LR Test 4

Is integer p even? I. p = 2k for some integer k. II. p leaves remainder 0 when divided by 2. Is integer p even? I. p = 2k for some integer k. II. p leaves remainder 0 when divided by 2.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the integer m a perfect square? I. m has an odd number of total divisors. II. √m is an integer. Is the integer m a perfect square? I. m has an odd number of total divisors. II. √m is an integer.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is point P inside circle C? I. Distance from P to center is less than the radius. II. P lies on a chord strictly shorter than the diameter. Is point P inside circle C? I. Distance from P to center is less than the radius. II. P lies on a chord strictly shorter than the diameter.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is an event E certain (probability 1)? I. P(E)=1. II. The complement of E is impossible. Is an event E certain (probability 1)? I. P(E)=1. II. The complement of E is impossible.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is set A a subset of set B? I. Every element of A is also an element of B. II. |A∩B| = |A|. Is set A a subset of set B? I. Every element of A is also an element of B. II. |A∩B| = |A|.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the equation ax+ b=0 solvable for real x? I. a≠0. II. b is real. Is the equation ax+ b=0 solvable for real x? I. a≠0. II. b is real.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is rectangle R a square? I. Adjacent sides of R are equal. II. All angles of R are right angles. Is rectangle R a square? I. Adjacent sides of R are equal. II. All angles of R are right angles.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the function f increasing on (0,1)? I. f′(x) > 0 for all x in (0,1). II. f(x) strictly increases as x increases in (0,1). Is the function f increasing on (0,1)? I. f′(x) > 0 for all x in (0,1). II. f(x) strictly increases as x increases in (0,1).

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the product of integers a and b negative? I. a<0. II. ab<0. Is the product of integers a and b negative? I. a<0. II. ab<0.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is triangle with sides a,b,c right-angled? I. a^2 + b^2 = c^2. II. The angle opposite side c is 90°. Is triangle with sides a,b,c right-angled? I. a^2 + b^2 = c^2. II. The angle opposite side c is 90°.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is integer n divisible by 15? I. n is divisible by 3. II. n is divisible by 5. Is integer n divisible by 15? I. n is divisible by 3. II. n is divisible by 5.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the integer n odd? I. n^2 is odd. II. n is not divisible by 2. Is the integer n odd? I. n^2 is odd. II. n is not divisible by 2.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the number of elements in list L greater than 100? I. The average of the first 100 elements equals the overall average. II. The list has at least 101 elements. Is the number of elements in list L greater than 100? I. The average of the first 100 elements equals the overall average. II. The list has at least 101 elements.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is candidate P shortlisted? I. All candidates with score ≥ 85 are shortlisted; P scored 86. II. P’s percentile is above the cutoff percentile. Is candidate P shortlisted? I. All candidates with score ≥ 85 are shortlisted; P scored 86. II. P’s percentile is above the cutoff percentile.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is y>0? I. y^2>0. II. y≥0 and y≠0. Is y>0? I. y^2>0. II. y≥0 and y≠0.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is meeting scheduled in the morning? I. The meeting is scheduled before noon. II. The meeting is scheduled after 10 AM and before 11 AM. Is meeting scheduled in the morning? I. The meeting is scheduled before noon. II. The meeting is scheduled after 10 AM and before 11 AM.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is z a rational number? I. z = p/q with integers p and q≠0. II. z has a terminating decimal expansion. Is z a rational number? I. z = p/q with integers p and q≠0. II. z has a terminating decimal expansion.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is integer t divisible by 6? I. t is divisible by 2 and by 3. II. t is divisible by 12. Is integer t divisible by 6? I. t is divisible by 2 and by 3. II. t is divisible by 12.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Did Rahul attend the meeting? I. Everyone who signed the minutes attended; Rahul’s signature is on the minutes. II. Rahul emailed apologies for absence. Did Rahul attend the meeting? I. Everyone who signed the minutes attended; Rahul’s signature is on the minutes. II. Rahul emailed apologies for absence.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is angle ∠ABC obtuse? I. ∠ABC is greater than 90°. II. ∠ABD is 110° and D lies on the same side such that ∠CBD is 20°. Is angle ∠ABC obtuse? I. ∠ABC is greater than 90°. II. ∠ABD is 110° and D lies on the same side such that ∠CBD is 20°.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is project X profitable? I. Revenue of X exceeds cost of X. II. Profit margin of X is positive. Is project X profitable? I. Revenue of X exceeds cost of X. II. Profit margin of X is positive.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the document authentic? I. The document hash matches the official registry entry. II. The issuing authority confirms this document ID as valid and unused by others. Is the document authentic? I. The document hash matches the official registry entry. II. The issuing authority confirms this document ID as valid and unused by others.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the sum S of two integers even? I. Both integers are odd. II. The difference of the integers is even. Is the sum S of two integers even? I. Both integers are odd. II. The difference of the integers is even.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Did train A depart on time? I. Train A departed at its scheduled departure time. II. Train A did not depart late. Did train A depart on time? I. Train A departed at its scheduled departure time. II. Train A did not depart late.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

Is the three-digit number XYZ divisible by 9? I. X+Y+Z=18. II. XYZ is divisible by 3 and by 9 has remainder 0 when divided by 9. Is the three-digit number XYZ divisible by 9? I. X+Y+Z=18. II. XYZ is divisible by 3 and by 9 has remainder 0 when divided by 9.

2 Mark(s)

I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Both together sufficient Both together sufficient
Each alone sufficient Each alone sufficient

DI DS LR Test 4 : Question 1 of 25