Q. What is the total sales of all products combined?
-
A.
1000
-
B.
1200
-
C.
1500
-
D.
1800
Solution
Total sales of all products combined is 1200 units.
Correct Answer:
B
— 1200
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Q. What is the total surface area of a cube with a side length of 6 cm?
-
A.
72 cm²
-
B.
144 cm²
-
C.
36 cm²
-
D.
48 cm²
Solution
Surface Area = 6 * side² = 6 * 6² = 6 * 36 = 216 cm².
Correct Answer:
B
— 144 cm²
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Q. What is the total surface area of a sphere with a radius of 7 cm? (Use π = 3.14)
-
A.
615.44 cm²
-
B.
153.86 cm²
-
C.
308 cm²
-
D.
154 cm²
Solution
Surface Area = 4πr² = 4 * 3.14 * 7² = 615.44 cm²
Correct Answer:
A
— 615.44 cm²
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Q. What is the true discount on a bill of Rs. 10000 due in 1 year if the Banker's Discount is Rs. 1000?
-
A.
Rs. 900
-
B.
Rs. 1000
-
C.
Rs. 1100
-
D.
Rs. 800
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 1000 × (1 / (1 + 1)) = Rs. 500.
Correct Answer:
A
— Rs. 900
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Q. What is the true discount on a bill of Rs. 30000 due in 2 years if the Banker's Discount is Rs. 3000?
-
A.
Rs. 2500
-
B.
Rs. 3000
-
C.
Rs. 3500
-
D.
Rs. 2000
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 3000 × (2 / (2 + 1)) = Rs. 2000.
Correct Answer:
A
— Rs. 2500
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Q. What is the true discount on a bill of Rs. 5000 due in 3 months if the Banker's Discount is Rs. 125?
-
A.
Rs. 100
-
B.
Rs. 125
-
C.
Rs. 150
-
D.
Rs. 200
Solution
True Discount = Banker's Discount * (Time / (Time + 1)) = 125 * (3/12) = Rs. 31.25.
Correct Answer:
A
— Rs. 100
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Q. What is the true discount on a sum of $10000 due in 10 years at 5% per annum?
-
A.
$2000
-
B.
$2500
-
C.
$3000
-
D.
$3500
Solution
Present Worth = 10000 / (1 + 0.05*10) = 10000 / 1.5 = $6666.67. True Discount = 10000 - 6666.67 = $3333.33.
Correct Answer:
B
— $2500
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Q. What is the true discount on a sum of $8000 due in 5 years at 7% per annum?
-
A.
$500
-
B.
$600
-
C.
$700
-
D.
$800
Solution
Present Worth = 8000 / (1 + 0.07*5) = 8000 / 1.35 = $5925.93. True Discount = 8000 - 5925.93 = $2074.07.
Correct Answer:
C
— $700
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Q. What is the value of (10^3) * (10^-1)?
-
A.
10^2
-
B.
10^1
-
C.
10^0
-
D.
10^-1
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, 10^3 * 10^-1 = 10^(3-1) = 10^2.
Correct Answer:
A
— 10^2
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Q. What is the value of (10^3) / (10^2)?
-
A.
10^1
-
B.
10^0
-
C.
10^2
-
D.
10^3
Solution
Using the property of indices, a^m / a^n = a^(m-n). Here, 10^3 / 10^2 = 10^(3-2) = 10^1.
Correct Answer:
A
— 10^1
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Q. What is the value of (3^4) / (3^2)?
-
A.
3^2
-
B.
3^1
-
C.
3^3
-
D.
3^4
Solution
Using the property of indices, a^m / a^n = a^(m-n), we have (3^4) / (3^2) = 3^(4-2) = 3^2.
Correct Answer:
A
— 3^2
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Q. What is the value of (4^3) * (4^-1)?
-
A.
4^2
-
B.
4^3
-
C.
4^1
-
D.
4^0
Solution
Using the property of indices, a^m * a^n = a^(m+n), we have (4^3) * (4^-1) = 4^(3-1) = 4^2.
Correct Answer:
A
— 4^2
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Q. What is the value of (4^3) * (4^2)?
-
A.
4^5
-
B.
4^6
-
C.
4^4
-
D.
4^7
Solution
Using the property of indices, a^m * a^n = a^(m+n), we have (4^3) * (4^2) = 4^(3+2) = 4^5.
Correct Answer:
A
— 4^5
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Q. What is the value of (7^0) + (7^1)?
Solution
Using the property that any number raised to the power of 0 is 1, we have 7^0 = 1 and 7^1 = 7, thus 1 + 7 = 8.
Correct Answer:
D
— 8
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Q. What is the value of (7^3) * (7^-2)?
-
A.
7^1
-
B.
7^0
-
C.
7^2
-
D.
7^3
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, 7^3 * 7^-2 = 7^(3-2) = 7^1.
Correct Answer:
A
— 7^1
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Q. What is the value of (x^2) * (x^3) / (x^4)?
-
A.
x^1
-
B.
x^0
-
C.
x^2
-
D.
x^3
Solution
Using the property of indices, we have (x^2 * x^3) / x^4 = x^(2+3-4) = x^1.
Correct Answer:
A
— x^1
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Q. What is the value of (x^3 * x^2)?
-
A.
x^5
-
B.
x^6
-
C.
x^7
-
D.
x^8
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, x^3 * x^2 = x^(3+2) = x^5.
Correct Answer:
A
— x^5
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Q. What is the value of (x^3) / (x^2) when x = 2?
Solution
Using the property of indices, (x^3) / (x^2) = x^(3-2) = x^1. When x = 2, it equals 2.
Correct Answer:
A
— 2
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Q. What is the value of 7^2 + 3^2?
Solution
Calculating 7^2 = 49 and 3^2 = 9. Therefore, 49 + 9 = 58.
Correct Answer:
A
— 58
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Q. What is the value of log10(0.01)?
Solution
log10(0.01) = log10(10^-2) = -2.
Correct Answer:
B
— -2
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Q. What is the value of log10(0.1)?
Solution
log10(0.1) = -1 because 10^-1 = 0.1.
Correct Answer:
A
— -1
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Q. What is the value of log10(1)?
-
A.
0
-
B.
1
-
C.
-1
-
D.
undefined
Solution
log10(1) = 0 because 10^0 = 1.
Correct Answer:
A
— 0
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Q. What is the value of log10(100)?
Solution
log10(100) = 2 because 10^2 = 100.
Correct Answer:
B
— 2
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Q. What is the value of log10(1000)?
Solution
log10(1000) = log10(10^3) = 3.
Correct Answer:
C
— 3
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Q. What is the value of log10(50) approximately?
-
A.
1.5
-
B.
1.7
-
C.
1.9
-
D.
2.0
Solution
log10(50) is approximately 1.7.
Correct Answer:
B
— 1.7
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Q. What is the value of log2(1)?
Solution
log2(1) = 0, since any number to the power of 0 is 1.
Correct Answer:
A
— 0
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Q. What is the value of log2(1/8)?
Solution
1/8 = 2^-3, so log2(1/8) = -3.
Correct Answer:
B
— -3
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Q. What is the value of log2(16)?
Solution
log2(16) = 4, since 2^4 = 16.
Correct Answer:
C
— 4
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Q. What is the value of log2(32)?
Solution
log2(32) = log2(2^5) = 5.
Correct Answer:
B
— 5
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Q. What is the value of log2(8) + log2(4)?
Solution
log2(8) = 3 and log2(4) = 2, so 3 + 2 = 5.
Correct Answer:
B
— 4
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