Q. How many moles of oxygen are required to completely react with 4 moles of ethane (C2H6)?
-
A.
5 moles
-
B.
7 moles
-
C.
8 moles
-
D.
10 moles
Solution
The balanced equation is 2C2H6 + 7O2 → 4CO2 + 6H2O. Therefore, 4 moles of C2H6 require 14 moles of O2, which means 7 moles of O2 for 2 moles of C2H6.
Correct Answer: B — 7 moles
Learn More →
Q. How many relations can be formed from a set with 3 elements?
Solution
The number of relations on a set with n elements is 2^(n^2). For n = 3, it is 2^(3^2) = 2^9 = 512.
Correct Answer: C — 8
Learn More →
Q. How many seconds are there in an hour?
-
A.
60
-
B.
3600
-
C.
600
-
D.
120
Solution
There are 3600 seconds in an hour (60 seconds x 60 minutes).
Correct Answer: B — 3600
Learn More →
Q. How many significant figures are in the measurement 0.004560?
Solution
The measurement 0.004560 has 4 significant figures (the leading zeros are not counted).
Correct Answer: B — 4
Learn More →
Q. How many significant figures are in the measurement 0.05060?
Solution
Leading zeros do not count, but the trailing zero after the decimal does. Therefore, 0.05060 has 4 significant figures.
Correct Answer: B — 4
Learn More →
Q. How many significant figures are in the number 0.000500?
Solution
The significant figures are 5, 0, and the trailing zero counts, totaling 3.
Correct Answer: B — 3
Learn More →
Q. How many significant figures are in the number 0.004560?
Solution
The number 0.004560 has 4 significant figures (the leading zeros are not counted).
Correct Answer: B — 4
Learn More →
Q. How many significant figures are in the number 0.00456?
Solution
Leading zeros do not count as significant figures. The significant figures in 0.00456 are 4, 5, and 6, which totals to 3 significant figures.
Correct Answer: B — 3
Learn More →
Q. How many significant figures are in the number 0.007890?
Solution
The significant figures are 7, 8, 9, and the trailing zero counts.
Correct Answer: C — 5
Learn More →
Q. How many significant figures are in the number 100.0?
Solution
The trailing zero after the decimal point counts as a significant figure.
Correct Answer: D — 4
Learn More →
Q. How many significant figures are in the number 1002?
Solution
All non-zero digits are significant, so 1002 has 4 significant figures.
Correct Answer: C — 4
Learn More →
Q. How many significant figures are in the number 5000 when no decimal point is present?
Solution
5000 has 1 significant figure unless specified otherwise (e.g., 5000. has 4 significant figures).
Correct Answer: A — 1
Learn More →
Q. How many significant figures are in the number 5000?
Solution
5000 has 1 significant figure unless specified with a decimal point (e.g., 5000. has 4).
Correct Answer: A — 1
Learn More →
Q. How many subsets can be formed from the set C = {x, y, z, w}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 4, so 2^4 = 16.
Correct Answer: B — 8
Learn More →
Q. How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
-
A.
32
-
B.
64
-
C.
128
-
D.
256
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 6, so the number of subsets is 2^6 = 64.
Correct Answer: C — 128
Learn More →
Q. How many subsets can be formed from the set H = {a, b, c, d, e, f}?
-
A.
32
-
B.
64
-
C.
128
-
D.
256
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 6, so 2^6 = 64.
Correct Answer: B — 64
Learn More →
Q. How many subsets can be formed from the set S = {a, b, c, d}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
Correct Answer: B — 8
Learn More →
Q. How many subsets can be formed from the set {1, 2, 3, 4, 5, 6}?
-
A.
32
-
B.
64
-
C.
128
-
D.
256
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 6, so the number of subsets is 2^6 = 64.
Correct Answer: D — 256
Learn More →
Q. How many subsets can be formed from the set {x, y, z, w, v}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 5, so 2^5 = 32.
Correct Answer: A — 16
Learn More →
Q. How many subsets does the set A = {a, b, c, d} have?
Solution
The number of subsets of a set with n elements is given by 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
Correct Answer: B — 8
Learn More →
Q. How many subsets does the set A = {a, b, c} have?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 3, so the number of subsets is 2^3 = 8.
Correct Answer: D — 8
Learn More →
Q. How many subsets does the set B = {a, b, c, d} have?
Solution
The number of subsets of a set with n elements is 2^n. Here, n=4, so the number of subsets is 2^4 = 16.
Correct Answer: B — 8
Learn More →
Q. How many subsets does the set {a, b, c} have?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 3, so the number of subsets is 2^3 = 8.
Correct Answer: D — 8
Learn More →
Q. How many subsets of the set H = {x, y} are there that do not contain the element y?
Solution
The only subset that does not contain y is {∅} and {x}. Total = 2.
Correct Answer: A — 1
Learn More →
Q. How many ways can 2 boys and 2 girls be selected from 5 boys and 4 girls?
Solution
The number of ways = 5C2 * 4C2 = 10 * 6 = 60.
Correct Answer: A — 60
Learn More →
Q. How many ways can 2 boys and 2 girls be selected from 6 boys and 4 girls?
Solution
The number of ways is C(6,2) * C(4,2) = 15 * 6 = 90.
Correct Answer: A — 60
Learn More →
Q. How many ways can 3 different books be chosen from a set of 7 books?
Solution
The number of ways to choose 3 books from 7 is 7C3 = 7! / (3! * 4!) = 35.
Correct Answer: A — 35
Learn More →
Q. How many ways can 3 different fruits be chosen from 8 fruits?
Solution
The number of ways is C(8,3) = 56.
Correct Answer: B — 84
Learn More →
Q. How many ways can 3 different fruits be selected from 5 available fruits?
Solution
The number of ways to choose 3 from 5 is given by 5C3 = 10.
Correct Answer: B — 15
Learn More →
Q. How many ways can 3 different letters be chosen from the word 'COMBINATION'?
-
A.
120
-
B.
220
-
C.
60
-
D.
80
Solution
The number of ways is C(11, 3) = 165.
Correct Answer: C — 60
Learn More →
Showing 2551 to 2580 of 10700 (357 Pages)