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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Q. How many time zones are there in the world if each zone is 15 degrees apart?
Solution
The Earth is 360 degrees, and if each time zone is 15 degrees, then 360 / 15 = 24 time zones.
Correct Answer: B — 24
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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
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Q. How many ways can 2 boys and 2 girls be selected from 5 boys and 5 girls? (2020)
-
A.
100
-
B.
150
-
C.
200
-
D.
300
Solution
The number of ways to select 2 boys from 5 is C(5, 2) and 2 girls from 5 is C(5, 2). Total = C(5, 2) * C(5, 2) = 10 * 10 = 100.
Correct Answer: B — 150
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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
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Q. How many ways can 2 boys and 3 girls be selected from 5 boys and 6 girls?
-
A.
100
-
B.
150
-
C.
200
-
D.
250
Solution
The number of ways is 5C2 * 6C3 = 10 * 20 = 200.
Correct Answer: B — 150
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Q. How many ways can 2 boys and 3 girls be selected from 5 boys and 7 girls? (2020)
-
A.
210
-
B.
300
-
C.
350
-
D.
400
Solution
The number of ways is 5C2 * 7C3 = 10 * 35 = 350.
Correct Answer: C — 350
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Q. How many ways can 2 boys and 3 girls be selected from 6 boys and 4 girls? (2023)
-
A.
60
-
B.
80
-
C.
100
-
D.
120
Solution
The number of ways is 6C2 * 4C3 = 15 * 4 = 60.
Correct Answer: A — 60
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Q. How many ways can 2 boys and 3 girls be selected from 8 boys and 6 girls?
-
A.
336
-
B.
280
-
C.
420
-
D.
180
Solution
The number of ways is 8C2 * 6C3 = 28 * 20 = 560.
Correct Answer: A — 336
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Q. How many ways can 2 boys and 3 girls be selected from a group of 5 boys and 7 girls? (2018)
-
A.
210
-
B.
300
-
C.
150
-
D.
100
Solution
The number of ways to select 2 boys from 5 is 5C2 and 3 girls from 7 is 7C3. Total = 5C2 * 7C3 = 10 * 35 = 350.
Correct Answer: A — 210
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Q. How many ways can 2 students be selected from a group of 5? (2019)
Solution
The number of ways to select 2 students from 5 is given by 5C2 = 10.
Correct Answer: A — 10
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Q. How many ways can 2 students be selected from a group of 8? (2015)
Solution
The number of ways to select 2 from 8 is C(8, 2) = 28.
Correct Answer: A — 28
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Q. How many ways can 3 books be selected from a shelf of 10 books? (2022)
-
A.
120
-
B.
210
-
C.
100
-
D.
30
Solution
The number of ways to select 3 books from 10 is given by 10C3 = 120.
Correct Answer: B — 210
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Q. How many ways can 3 boys and 2 girls be seated in a row?
-
A.
30
-
B.
60
-
C.
120
-
D.
180
Solution
The number of ways to arrange 5 people is 5! = 120.
Correct Answer: C — 120
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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
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Q. How many ways can 3 different books be chosen from a set of 7?
Solution
The number of ways to choose 3 from 7 is C(7, 3) = 35.
Correct Answer: A — 35
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