General Aptitude
Q. A student received 75% marks in an exam. If the total marks were 800, how many marks did he score?
A.
600
B.
650
C.
700
D.
750
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Solution
Marks scored = (75/100) * 800 = 600.
Correct Answer: A — 600
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Q. A student scored 45 marks out of 60 in a test. What is the percentage score of the student?
A.
70%
B.
75%
C.
80%
D.
85%
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Solution
Percentage score = (45/60)*100 = 75%.
Correct Answer: B — 75%
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Q. A student scored 75% in his first exam and 85% in his second exam. If the first exam was out of 400 marks and the second out of 600 marks, what is his overall percentage?
A.
80%
B.
82%
C.
84%
D.
86%
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Solution
Marks in first exam = 75% of 400 = 300. Marks in second exam = 85% of 600 = 510. Total marks = 300 + 510 = 810. Total maximum marks = 400 + 600 = 1000. Overall percentage = (810/1000) * 100 = 81%.
Correct Answer: C — 84%
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Q. A student scored 75% in Mathematics and 85% in Science. If both subjects are equally weighted, what is the average percentage score?
A.
75%
B.
80%
C.
82.5%
D.
85%
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Solution
Average percentage = (75 + 85) / 2 = 160 / 2 = 80%.
Correct Answer: C — 82.5%
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Q. A student scored 75% in Mathematics and 85% in Science. If both subjects are of equal weight, what is the average percentage score?
A.
75%
B.
80%
C.
82.5%
D.
85%
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Solution
Average percentage = (75 + 85) / 2 = 160 / 2 = 80%.
Correct Answer: C — 82.5%
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Q. A student scored 75% in Mathematics and 85% in Science. If the total marks in both subjects are 200, what is the total score of the student?
A.
150
B.
160
C.
170
D.
180
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Solution
Total marks in Mathematics = 75% of 100 = 75. Total marks in Science = 85% of 100 = 85. Total score = 75 + 85 = 160.
Correct Answer: B — 160
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Q. A student scored 75% in Mathematics and 85% in Science. If the total marks in each subject are 200, what is the total percentage?
A.
80%
B.
82%
C.
83%
D.
85%
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Solution
Total marks obtained = (0.75 * 200) + (0.85 * 200) = 150 + 170 = 320. Total percentage = (320 / 400) * 100 = 80%.
Correct Answer: B — 82%
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Q. A student scored 80 marks out of 100 in a test. What is his percentage score?
A.
70%
B.
80%
C.
90%
D.
100%
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Solution
Percentage = (80/100) * 100 = 80%
Correct Answer: B — 80%
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Q. A student scored 80 marks out of 100 in a test. What is the percentage of marks scored?
A.
70%
B.
80%
C.
90%
D.
60%
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Solution
Percentage = (80/100) * 100 = 80%
Correct Answer: B — 80%
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Q. A student scored 80 marks out of 100 in Mathematics. What is the percentage of marks scored?
A.
70%
B.
80%
C.
90%
D.
60%
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Solution
Percentage = (80/100) * 100 = 80%
Correct Answer: B — 80%
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Q. A student scored 80% in Mathematics and 70% in Science. If the maximum marks for each subject are 200, what is the total percentage of marks obtained by the student?
A.
75%
B.
76%
C.
77%
D.
78%
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Solution
Total marks obtained = (80/100)*200 + (70/100)*200 = 160 + 140 = 300. Total maximum marks = 200 + 200 = 400. Percentage = (300/400)*100 = 75%.
Correct Answer: B — 76%
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Q. A student scored 80% in Mathematics and 70% in Science. If the maximum marks for each subject are 100, what is the total percentage of marks obtained by the student?
A.
75%
B.
78%
C.
70%
D.
80%
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Solution
Total marks obtained = 80 + 70 = 150. Total maximum marks = 200. Percentage = (150/200) * 100 = 75%.
Correct Answer: A — 75%
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Q. A student scored 80% in Mathematics and 70% in Science. If the maximum marks for each subject are 100, what is the percentage of marks obtained by the student in both subjects combined?
A.
75%
B.
76%
C.
77%
D.
78%
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Solution
Total marks obtained = 80 + 70 = 150. Total maximum marks = 200. Percentage = (150/200) * 100 = 75%.
Correct Answer: B — 76%
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Q. A student scored 80% in Mathematics and 70% in Science. If the total marks in each subject are 100, what is the average percentage score?
A.
75%
B.
76%
C.
77%
D.
78%
Show solution
Solution
Average percentage = (80 + 70) / 2 = 150 / 2 = 75%.
Correct Answer: B — 76%
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Q. A student scored 80% in Mathematics and 70% in Science. If the total marks in each subject are 200, what is the total percentage of marks obtained?
A.
75%
B.
76%
C.
77%
D.
78%
Show solution
Solution
Marks in Mathematics = 0.8 * 200 = 160. Marks in Science = 0.7 * 200 = 140. Total marks = 160 + 140 = 300. Total percentage = (300 / 400) * 100 = 75%.
Correct Answer: B — 76%
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Q. A student scores 60, 70, and 80 in three subjects. If he wants an average of 75, what score does he need in the fourth subject?
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Solution
Let the fourth score be x. (60 + 70 + 80 + x) / 4 = 75. Solving gives x = 90.
Correct Answer: D — 85
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Q. A student scores 80, 85, and 90 in three tests. What score does he need in the fourth test to have an average of 85?
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Solution
Let the fourth score be x. (80 + 85 + 90 + x) / 4 = 85. Solving gives x = 95.
Correct Answer: C — 90
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Q. A student scores 80, 90, and 70 in three subjects. If he wants an average of 85 after scoring in a fourth subject, what should he score?
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Solution
Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Required score = 340 - 240 = 100.
Correct Answer: B — 95
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Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to achieve an average of 85?
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Solution
Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.
Correct Answer: B — 95
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Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?
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Solution
Let the score in the fourth subject be x. The average is (80 + 90 + 70 + x) / 4 = 85. Thus, 240 + x = 340, so x = 100.
Correct Answer: B — 95
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Q. A sum of $12000 is due in 5 years. If the bankers discount is $3000, what is the rate of interest?
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Solution
Bankers Discount = Principal - Present Value. Present Value = 12000 - 3000 = 9000. Rate = (3000 × 100) / (12000 × 5) = 5%.
Correct Answer: B — 6%
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Q. A sum of $25000 is due in 2 years. If the bankers discount is $5000, what is the rate of interest?
A.
8%
B.
10%
C.
12%
D.
15%
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Solution
Rate = (5000 × 100) / (25000 × 2) = 10%.
Correct Answer: B — 10%
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Q. A sum of $3000 is invested at a compound interest rate of 7% per annum. What will be the amount after 5 years?
A.
$4210.00
B.
$4000.00
C.
$4500.00
D.
$4100.00
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Solution
Total Amount = 3000(1 + 0.07)^5 = 3000(1.402552) = 4207.66
Correct Answer: A — $4210.00
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Q. A sum of $3000 is invested at a compound interest rate of 7% per annum. What will be the total amount after 5 years?
A.
$4200.00
B.
$4205.00
C.
$4210.00
D.
$4215.00
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Solution
Total Amount = 3000(1 + 0.07)^5 = 3000(1.402552) = 4207.66
Correct Answer: C — $4210.00
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Q. A sum of $5000 is due in 2 years. What is the bankers discount at the rate of 10%?
A.
$100
B.
$200
C.
$300
D.
$400
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Solution
Bankers Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 2) / 100 = $1000. The present value is $5000 / (1 + 0.10)^2 = $4132.23. Therefore, Bankers Discount = $5000 - $4132.23 = $867.77.
Correct Answer: B — $200
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Q. A sum of money doubles itself in 10 years at compound interest. What is the rate of interest?
A.
7.2%
B.
10%
C.
5%
D.
12%
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Solution
Using the Rule of 72, Rate = 72/10 = 7.2%
Correct Answer: A — 7.2%
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Q. A sum of money doubles itself in 5 years at compound interest. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
Using the formula A = P(1 + r)^n, if A = 2P, then 2 = (1 + r)^5. Solving gives r = 0.10 or 10%.
Correct Answer: A — 10%
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Q. A sum of money invested at compound interest grows to $5000 in 4 years at a rate of 6% per annum. What was the principal?
A.
$4000
B.
$4500
C.
$3500
D.
$3000
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Solution
Let P be the principal. A = P(1 + r)^n; 5000 = P(1 + 0.06)^4; P = 5000 / 1.262476 = $3960.00.
Correct Answer: B — $4500
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Q. A tank can be filled by a pipe in 10 hours and emptied by another pipe in 15 hours. If both pipes are opened together, how long will it take to fill the tank?
A.
5 hours
B.
6 hours
C.
10 hours
D.
12 hours
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Solution
The net rate is 1/10 - 1/15 = 1/30. Therefore, it will take 30 hours to fill the tank.
Correct Answer: B — 6 hours
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Q. A tank can be filled by a pipe in 10 hours and emptied by another pipe in 5 hours. If both pipes are opened together, how long will it take to fill the tank?
A.
10 hours
B.
5 hours
C.
15 hours
D.
20 hours
Show solution
Solution
The net rate is 1/10 - 1/5 = -1/10. Therefore, the tank will never fill.
Correct Answer: C — 15 hours
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