MHT-CET
Q. How many liters of a 0.5 M NaOH solution are needed to obtain 1 mole of NaOH? (2023)
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A.
1 L
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B.
2 L
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C.
0.5 L
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D.
0.25 L
Solution
Volume = moles / molarity = 1 mole / 0.5 M = 2 L.
Correct Answer: A — 1 L
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Q. How many liters of a 0.5 M solution contain 2 moles of solute? (2023)
-
A.
2 L
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B.
4 L
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C.
1 L
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D.
0.5 L
Solution
Volume = moles / molarity = 2 moles / 0.5 M = 4 L
Correct Answer: B — 4 L
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Q. How many liters of a 3 M solution can be made from 6 moles of solute? (2023)
-
A.
1 L
-
B.
2 L
-
C.
3 L
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D.
4 L
Solution
Volume = moles / molarity = 6 moles / 3 M = 2 L.
Correct Answer: B — 2 L
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Q. How many molecules are in 0.1 moles of oxygen gas (O2)? (2021)
-
A.
6.022 x 10^22
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B.
6.022 x 10^23
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C.
1.2044 x 10^23
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D.
3.011 x 10^23
Solution
Number of molecules = moles x Avogadro's number = 0.1 moles x 6.022 x 10^23 molecules/mole = 6.022 x 10^22 molecules.
Correct Answer: A — 6.022 x 10^22
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Q. How many molecules are in 0.25 moles of oxygen gas (O2)? (2022)
-
A.
3.011 x 10^23
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B.
6.022 x 10^22
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C.
1.2044 x 10^23
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D.
1.5055 x 10^23
Solution
Number of molecules = moles x Avogadro's number = 0.25 moles x 6.022 x 10^23 molecules/mole = 1.5055 x 10^23 molecules.
Correct Answer: B — 6.022 x 10^22
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Q. How many molecules are present in 2 moles of water (H2O)? (2022) 2022
-
A.
6.022 x 10^23
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B.
1.2044 x 10^24
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C.
3.011 x 10^23
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D.
1.2044 x 10^23
Solution
Number of molecules = moles x Avogadro's number = 2 moles x 6.022 x 10^23 molecules/mole = 1.2044 x 10^24 molecules.
Correct Answer: B — 1.2044 x 10^24
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Q. How many moles are in 100 grams of NaOH? (2022)
-
A.
2.5
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B.
1.25
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C.
0.5
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D.
3
Solution
Molar mass of NaOH = 23 + 16 + 1 = 40 g/mol. Number of moles = mass/molar mass = 100 g / 40 g/mol = 2.5 moles.
Correct Answer: B — 1.25
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Q. How many moles are in 32 grams of O2? (2021)
Solution
Molar mass of O2 = 16*2 = 32 g/mol. Number of moles = mass/molar mass = 32g/32g/mol = 1 mole.
Correct Answer: A — 1
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Q. How many moles of solute are present in 500 mL of a 0.2 M solution? (2021) 2021
-
A.
0.1 moles
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B.
0.5 moles
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C.
0.2 moles
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D.
0.25 moles
Solution
Moles = Molarity * Volume (L) = 0.2 M * 0.5 L = 0.1 moles.
Correct Answer: A — 0.1 moles
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Q. How many orbitals are present in the d-subshell? (2023)
Solution
The d-subshell has 5 orbitals.
Correct Answer: C — 5
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Q. How many orbitals are present in the p subshell? (2023)
Solution
The p subshell has 3 orbitals (px, py, pz).
Correct Answer: C — 3
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Q. How many ways can 2 boys and 3 girls be selected from 5 boys and 6 girls?
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A.
100
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B.
150
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C.
200
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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 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 3 books be selected from a shelf of 10 books? (2022)
-
A.
120
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B.
210
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C.
100
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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?
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A.
30
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B.
60
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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 colored balls be arranged in a row? (2022)
Solution
The number of arrangements of 3 distinct balls is 3! = 6.
Correct Answer: A — 6
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Q. How many ways can 3 different gifts be given to 5 children if each child can receive more than one gift? (2022)
-
A.
125
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B.
243
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C.
60
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D.
30
Solution
Each gift can go to any of the 5 children, so the total ways = 5^3 = 125.
Correct Answer: B — 243
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Q. How many ways can 3 different trophies be awarded to 5 students? (2022)
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A.
60
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B.
100
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C.
120
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D.
30
Solution
The number of ways to award 3 trophies to 5 students is given by P(5,3) = 5! / (5-3)! = 60.
Correct Answer: C — 120
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Q. How many ways can 3 out of 8 different colored balls be chosen? (2022)
Solution
The number of ways to choose 3 balls from 8 is given by 8C3 = 56.
Correct Answer: A — 56
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Q. How many ways can 3 prizes be awarded to 10 students if no student can win more than one prize?
-
A.
720
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B.
1000
-
C.
1200
-
D.
100
Solution
The number of ways to award 3 prizes is P(10, 3) = 720.
Correct Answer: A — 720
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Q. How many ways can 3 students be selected from a group of 10?
-
A.
120
-
B.
90
-
C.
100
-
D.
80
Solution
The number of ways to select 3 students from 10 is given by 10C3 = 120.
Correct Answer: A — 120
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Q. How many ways can 4 different flags be arranged on a pole? (2021)
Solution
The number of arrangements of 4 distinct flags is 4! = 24.
Correct Answer: A — 24
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Q. How many ways can 4 different fruits be selected from 8 available fruits? (2021)
Solution
The number of ways to choose 4 fruits from 8 is given by 8C4 = 70.
Correct Answer: A — 70
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Q. How many ways can 4 different fruits be selected from 8?
Solution
The number of ways to select 4 fruits from 8 is given by 8C4 = 70.
Correct Answer: B — 56
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Q. How many ways can 4 different letters be chosen from the word 'COMPUTE'? (2022)
Solution
The number of ways is 8C4 = 70.
Correct Answer: C — 56
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Q. How many ways can 4 letters be chosen from the word 'COMBINATION'?
-
A.
210
-
B.
120
-
C.
150
-
D.
180
Solution
The number of ways to choose 4 letters from 11 is 11C4 = 330.
Correct Answer: A — 210
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Q. How many ways can 4 people be seated in a row of 6 chairs? (2021)
-
A.
360
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B.
720
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C.
240
-
D.
480
Solution
The number of ways is 6P4 = 6! / (6-4)! = 360.
Correct Answer: A — 360
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Q. How many ways can 4 prizes be distributed among 10 students if each student can receive at most one prize? (2019)
-
A.
5040
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B.
720
-
C.
1000
-
D.
1200
Solution
The number of ways to distribute 4 prizes among 10 students is 10P4 = 5040.
Correct Answer: A — 5040
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Q. How many ways can 5 different letters be arranged if 2 letters are always together?
-
A.
48
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B.
120
-
C.
240
-
D.
720
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer: C — 240
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Q. How many ways can 5 different letters be arranged if 2 letters must always be together?
-
A.
60
-
B.
120
-
C.
240
-
D.
720
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer: C — 240
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