Q. Is the age of person A greater than 30?
A.
Statement 1: A was born in 1990
B.
Statement 2: A is older than B, who is 25
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
From Statement 1, A is currently 33. Statement 2 confirms A is older than 25, thus sufficient.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the distance between point P and point Q less than 5 units?
A.
Statement 1: The coordinates of P are (1, 1)
B.
Statement 2: The coordinates of Q are (3, 3)
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
Using the distance formula, the distance between P and Q is √((3-1)² + (3-1)²) = √8, which is less than 5.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the integer z even?
A.
Statement 1: z + 1 is odd
B.
Statement 2: z - 2 is even
C.
Both statements together are sufficient
D.
Neither statement is sufficient
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Solution
Statement 1 indicates z is even since adding 1 to an even number results in an odd number.
Correct Answer:
A
— Statement 1: z + 1 is odd
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Q. Is the number x greater than 10?
A.
Statement 1: x + 5 > 15
B.
Statement 2: 2x < 30
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
From Statement 1, x > 10. From Statement 2, x < 15. Both statements together confirm x is greater than 10.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the product of m and n positive?
A.
Statement 1: m is negative
B.
Statement 2: n is positive
C.
Both statements together are sufficient
D.
Neither statement is sufficient
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Solution
Statement 1 alone is not sufficient as m is negative. Statement 2 alone is not sufficient as n is positive. Together, they cannot confirm the product is positive.
Correct Answer:
B
— Statement 2: n is positive
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Q. Is the ratio of x to y greater than 2?
A.
Statement 1: x = 4y
B.
Statement 2: y = 2
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
From Statement 1, x/y = 4y/y = 4, which is greater than 2. Statement 2 confirms y = 2, thus sufficient.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the square of z less than 100?
A.
Statement 1: z < 10
B.
Statement 2: z > -10
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
From Statement 1, z < 10 implies z² < 100. Statement 2 does not contradict this, thus both statements confirm z² < 100.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the sum of a and b greater than 50?
A.
Statement 1: a > 20
B.
Statement 2: b > 30
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
From Statement 1 and Statement 2, a + b > 20 + 30 = 50, thus sufficient.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the value of k a prime number?
A.
Statement 1: k is greater than 1
B.
Statement 2: k is not divisible by any number other than 1 and itself
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
Statement 1 indicates k > 1. Statement 2 confirms k is prime. Together, they confirm k is a prime number.
Correct Answer:
C
— Both statements together are sufficient
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Q. Is the value of y less than 20?
A.
Statement 1: y + 10 < 30
B.
Statement 2: 3y > 50
C.
Both statements together are sufficient
D.
Neither statement is sufficient
Show solution
Solution
From Statement 1, y < 20. From Statement 2, y > 16. Both statements confirm y is less than 20.
Correct Answer:
C
— Both statements together are sufficient
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