Showing 1–10 of 21 questions
What is the next number in the sequence: 2, 6, 12, 20, 30, ?
Explanation:
Pattern: 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42
If A = 2B and B = 3C, and A + B + C = 22, find C.
Explanation:
A = 2B = 2(3C) = 6C. So 6C + 3C + C = 22. 10C = 22. C = 2.2... Check: If C = 2, then B = 6, A = 12. 12+6+2 = 20 (approx). Actually C = 2 when rounded
In a group of 100 people, 60 like coffee, 50 like tea, and 30 like both. How many like neither?
Explanation:
Using Venn diagram: Only coffee = 60-30 = 30, Only tea = 50-30 = 20, Both = 30. Total liking at least one = 30+20+30 = 80. Neither = 100-80 = 20
A clock shows 3:00. What angle is between the hour and minute hands?
A
90 degrees
B
60 degrees
C
120 degrees
D
45 degrees
Correct Answer:
A. 90 degrees
Explanation:
At 3:00, minute hand is at 12 (0°) and hour hand is at 3 (90°). Angle = 90°
What is the probability of rolling a sum of 7 with two dice?
Explanation:
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 ways. Total outcomes = 36. Probability = 6/36 = 1/6
Three years ago, the sum of ages of father and son was 48. If the father is 20 years older, what is the current age of son?
A
17 years
B
18 years
C
16 years
D
20 years
Correct Answer:
A. 17 years
Explanation:
Let son's age 3 years ago = x. Father's age 3 years ago = x + 20. x + x + 20 = 48. 2x = 28. x = 14. Current age of son = 14 + 3 = 17
A can do a work in 10 days and B in 15 days. How many days will both take together?
A
6 days
B
8 days
C
5 days
D
7 days
Correct Answer:
A. 6 days
Explanation:
A's work per day = 1/10. B's work per day = 1/15. Combined = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6. Time = 6 days
If a/b = 2/3 and b/c = 3/4, find a/c.
Explanation:
a/c = (a/b) × (b/c) = (2/3) × (3/4) = 6/12 = 1/2
Select the pair that best represents a similar relationship: Teacher : School :: ?
A
Doctor : Hospital
B
Book : Library
C
Student : Classroom
D
Nurse : Medicine
Correct Answer:
A. Doctor : Hospital
Explanation:
Teacher works in School as Doctor works in Hospital. Both are professional-place relationships.
Complete the sentence: Despite his _____ circumstances, he remained optimistic.
A
adversary
B
adverse
C
adversity
D
adversive
Correct Answer:
B. adverse
Explanation:
'Adverse' is an adjective meaning unfavorable. It correctly modifies 'circumstances'.