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Data Sufficiency MCQs

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Data Sufficiency

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CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 50 years old. Statement II: A is 8 years older than B.
A. Both statements together are sufficient, but neither alone is sufficient
B. Either statement alone is sufficient
C. Statement II alone is sufficient
D. Statement I alone is sufficient
Correct Answer: A
Together, A+B=50 and A−B=8; adding gives 2A=58, so A=29.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 49 years old. Statement II: A is 7 years older than B.
A. Either statement alone is sufficient
B. Both statements together are sufficient, but neither alone is sufficient
C. Statement I alone is sufficient
D. Statement II alone is sufficient
Correct Answer: B
Together, A+B=49 and A−B=7; adding gives 2A=56, so A=28.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 48 years old. Statement II: A is 6 years older than B.
A. Either statement alone is sufficient
B. Statement II alone is sufficient
C. Both statements together are sufficient, but neither alone is sufficient
D. Statement I alone is sufficient
Correct Answer: C
Together, A+B=48 and A−B=6; adding gives 2A=54, so A=27.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 47 years old. Statement II: A is 5 years older than B.
A. Either statement alone is sufficient
B. Statement I alone is sufficient
C. Both statements together are sufficient, but neither alone is sufficient
D. Statement II alone is sufficient
Correct Answer: C
Together, A+B=47 and A−B=5; adding gives 2A=52, so A=26.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 46 years old. Statement II: A is 4 years older than B.
A. Statement I alone is sufficient
B. Either statement alone is sufficient
C. Statement II alone is sufficient
D. Both statements together are sufficient, but neither alone is sufficient
Correct Answer: D
Together, A+B=46 and A−B=4; adding gives 2A=50, so A=25.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 44 years old. Statement II: A is 8 years older than B.
A. Statement I alone is sufficient
B. Either statement alone is sufficient
C. Statement II alone is sufficient
D. Both statements together are sufficient, but neither alone is sufficient
Correct Answer: D
Together, A+B=44 and A−B=8; adding gives 2A=52, so A=26.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 43 years old. Statement II: A is 7 years older than B.
A. Statement I alone is sufficient
B. Statement II alone is sufficient
C. Both statements together are sufficient, but neither alone is sufficient
D. Either statement alone is sufficient
Correct Answer: C
Together, A+B=43 and A−B=7; adding gives 2A=50, so A=25.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 42 years old. Statement II: A is 6 years older than B.
A. Both statements together are sufficient, but neither alone is sufficient
B. Either statement alone is sufficient
C. Statement II alone is sufficient
D. Statement I alone is sufficient
Correct Answer: A
Together, A+B=42 and A−B=6; adding gives 2A=48, so A=24.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 41 years old. Statement II: A is 5 years older than B.
A. Statement I alone is sufficient
B. Either statement alone is sufficient
C. Both statements together are sufficient, but neither alone is sufficient
D. Statement II alone is sufficient
Correct Answer: C
Together, A+B=41 and A−B=5; adding gives 2A=46, so A=23.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 40 years old. Statement II: A is 4 years older than B.
A. Statement II alone is sufficient
B. Both statements together are sufficient, but neither alone is sufficient
C. Either statement alone is sufficient
D. Statement I alone is sufficient
Correct Answer: B
Together, A+B=40 and A−B=4; adding gives 2A=44, so A=22.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 40 years old. Statement II: A is 8 years older than B.
A. Statement I alone is sufficient
B. Statement II alone is sufficient
C. Either statement alone is sufficient
D. Both statements together are sufficient, but neither alone is sufficient
Correct Answer: D
Together, A+B=40 and A−B=8; adding gives 2A=48, so A=24.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 39 years old. Statement II: A is 7 years older than B.
A. Both statements together are sufficient, but neither alone is sufficient
B. Either statement alone is sufficient
C. Statement I alone is sufficient
D. Statement II alone is sufficient
Correct Answer: A
Together, A+B=39 and A−B=7; adding gives 2A=46, so A=23.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 38 years old. Statement II: A is 6 years older than B.
A. Either statement alone is sufficient
B. Both statements together are sufficient, but neither alone is sufficient
C. Statement I alone is sufficient
D. Statement II alone is sufficient
Correct Answer: B
Together, A+B=38 and A−B=6; adding gives 2A=44, so A=22.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 37 years old. Statement II: A is 5 years older than B.
A. Statement I alone is sufficient
B. Statement II alone is sufficient
C. Both statements together are sufficient, but neither alone is sufficient
D. Either statement alone is sufficient
Correct Answer: C
Together, A+B=37 and A−B=5; adding gives 2A=42, so A=21.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 36 years old. Statement II: A is 4 years older than B.
A. Both statements together are sufficient, but neither alone is sufficient
B. Statement I alone is sufficient
C. Statement II alone is sufficient
D. Either statement alone is sufficient
Correct Answer: A
Together, A+B=36 and A−B=4; adding gives 2A=40, so A=20.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 34 years old. Statement II: A is 8 years older than B.
A. Either statement alone is sufficient
B. Statement I alone is sufficient
C. Both statements together are sufficient, but neither alone is sufficient
D. Statement II alone is sufficient
Correct Answer: C
Together, A+B=34 and A−B=8; adding gives 2A=42, so A=21.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 33 years old. Statement II: A is 7 years older than B.
A. Both statements together are sufficient, but neither alone is sufficient
B. Statement I alone is sufficient
C. Statement II alone is sufficient
D. Either statement alone is sufficient
Correct Answer: A
Together, A+B=33 and A−B=7; adding gives 2A=40, so A=20.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 32 years old. Statement II: A is 6 years older than B.
A. Either statement alone is sufficient
B. Statement I alone is sufficient
C. Statement II alone is sufficient
D. Both statements together are sufficient, but neither alone is sufficient
Correct Answer: D
Together, A+B=32 and A−B=6; adding gives 2A=38, so A=19.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 31 years old. Statement II: A is 5 years older than B.
A. Either statement alone is sufficient
B. Statement I alone is sufficient
C. Statement II alone is sufficient
D. Both statements together are sufficient, but neither alone is sufficient
Correct Answer: D
Together, A+B=31 and A−B=5; adding gives 2A=36, so A=18.
CSS - PMS - CCE - PCS - General Intelligence & Reasoning Data Sufficiency
What is A's age? Statement I: A and B together are 30 years old. Statement II: A is 4 years older than B.
A. Both statements together are sufficient, but neither alone is sufficient
B. Either statement alone is sufficient
C. Statement I alone is sufficient
D. Statement II alone is sufficient
Correct Answer: A
Together, A+B=30 and A−B=4; adding gives 2A=34, so A=17.
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