Q. In how many ways can 5 different letters be arranged if 2 letters are always together? (2019)
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer: B — 60
Learn More →
Q. In how many ways can 5 different objects be selected from 10 objects?
-
A.
252
-
B.
120
-
C.
10
-
D.
100
Solution
The number of ways to select 5 objects from 10 is 10C5 = 10! / (5! * 5!) = 252.
Correct Answer: A — 252
Learn More →
Q. In how many ways can 6 different books be arranged on a shelf?
-
A.
720
-
B.
600
-
C.
360
-
D.
480
Solution
The number of arrangements of 6 different books is 6! = 720.
Correct Answer: A — 720
Learn More →
Q. In how many ways can 6 different colored balls be arranged in a line?
-
A.
720
-
B.
120
-
C.
60
-
D.
30
Solution
The number of arrangements of 6 different colored balls is 6! = 720.
Correct Answer: A — 720
Learn More →
Q. In how many ways can 6 different colored balls be arranged in a row? (2018)
-
A.
720
-
B.
600
-
C.
480
-
D.
360
Solution
The number of arrangements of 6 distinct balls is 6! = 720.
Correct Answer: A — 720
Learn More →
Q. In how many ways can 6 different flags be arranged on a pole?
-
A.
720
-
B.
600
-
C.
480
-
D.
540
Solution
The number of arrangements is 6! = 720.
Correct Answer: A — 720
Learn More →
Q. In how many ways can 6 different objects be selected and arranged in a line?
-
A.
720
-
B.
600
-
C.
840
-
D.
960
Solution
The number of arrangements of 6 different objects is 6! = 720.
Correct Answer: A — 720
Learn More →
Q. In how many ways can 6 people be divided into 2 groups of 3?
Solution
The number of ways to divide 6 people into 2 groups of 3 is 6! / (3! * 3! * 2!) = 20.
Correct Answer: A — 20
Learn More →
Q. In how many ways can 6 people be seated in a row?
-
A.
720
-
B.
600
-
C.
480
-
D.
360
Solution
The number of arrangements of 6 people is 6! = 720.
Correct Answer: A — 720
Learn More →
Q. In how many ways can 7 different items be selected and arranged in a line?
-
A.
5040
-
B.
720
-
C.
40320
-
D.
10080
Solution
The number of arrangements of 7 different items is 7! = 5040.
Correct Answer: C — 40320
Learn More →
Q. In how many ways can 7 different objects be arranged in a circle?
-
A.
720
-
B.
5040
-
C.
7200
-
D.
600
Solution
The number of arrangements in a circle is (n-1)! = 6! = 720.
Correct Answer: B — 5040
Learn More →
Q. In how many ways can 7 people be divided into 3 groups if one group must have 3 people?
-
A.
210
-
B.
300
-
C.
420
-
D.
560
Solution
Choose 3 people from 7: C(7, 3) = 35. The remaining 4 can be divided into 2 groups in 2 ways. Total = 35 * 2 = 70.
Correct Answer: B — 300
Learn More →
Q. In how many ways can the letters of the word 'BOOK' be arranged? (2022)
Solution
The word 'BOOK' has 4 letters with 'O' repeating. The number of arrangements is 4! / 2! = 12.
Correct Answer: C — 16
Learn More →
Q. In how many ways can the letters of the word 'LEVEL' be arranged?
Solution
The word 'LEVEL' has 5 letters with 'L' and 'E' repeating. The arrangements = 5! / (2! * 2!) = 30.
Correct Answer: B — 30
Learn More →
Q. In how many years will a sum of money triple itself at a compound interest rate of 10% per annum?
-
A.
10 years
-
B.
12 years
-
C.
15 years
-
D.
20 years
Solution
Using the formula A = P(1 + r)^n, we set A = 3P and solve for n, which gives approximately 12 years.
Correct Answer: B — 12 years
Learn More →
Q. In humans, the allele for brown eyes (B) is dominant over the allele for blue eyes (b). What is the genotype of a person with blue eyes? (2019)
Solution
A person with blue eyes must have the genotype bb, as blue is recessive.
Correct Answer: C — bb
Learn More →
Q. In measurements, what does precision refer to? (2022)
-
A.
Closeness to the true value
-
B.
Consistency of repeated measurements
-
C.
Range of values
-
D.
Average of measurements
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer: B — Consistency of repeated measurements
Learn More →
Q. In measurements, what does the term 'precision' refer to? (2022)
-
A.
Closeness to the true value
-
B.
Consistency of repeated measurements
-
C.
Range of values
-
D.
Average of measurements
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer: B — Consistency of repeated measurements
Learn More →
Q. In Mendel's experiments, which trait was observed to be dominant in pea plants? (2018)
-
A.
Green seed color
-
B.
Yellow seed color
-
C.
Wrinkled seeds
-
D.
Short plants
Solution
In Mendel's experiments, yellow seed color was observed to be the dominant trait in pea plants.
Correct Answer: B — Yellow seed color
Learn More →
Q. In Mendel's experiments, which trait was observed to be dominant over the other? (2018)
-
A.
Green seed color
-
B.
Yellow seed color
-
C.
Round seed shape
-
D.
Wrinkled seed shape
Solution
In Mendel's experiments, yellow seed color was observed to be dominant over green seed color.
Correct Answer: B — Yellow seed color
Learn More →
Q. In Microsoft Word, which shortcut key is used to save a document? (2023)
-
A.
Ctrl + S
-
B.
Ctrl + P
-
C.
Ctrl + C
-
D.
Ctrl + V
Solution
The shortcut key 'Ctrl + S' is used to save a document in Microsoft Word.
Correct Answer: A — Ctrl + S
Learn More →
Q. In modular arithmetic, what is the multiplicative inverse of 3 modulo 11?
Solution
The multiplicative inverse of 3 mod 11 is 4, since (3 * 4) mod 11 = 12 mod 11 = 1.
Correct Answer: B — 7
Learn More →
Q. In modular arithmetic, which of the following is a valid operation?
-
A.
Adding two numbers and taking mod
-
B.
Subtracting two numbers and taking mod
-
C.
Multiplying two numbers and taking mod
-
D.
All of the above
Solution
All operations (addition, subtraction, multiplication) are valid in modular arithmetic.
Correct Answer: D — All of the above
Learn More →
Q. In molecular orbital theory, which of the following orbitals is filled first?
-
A.
σ2s
-
B.
σ*2s
-
C.
π2p
-
D.
σ2p
Solution
According to the Aufbau principle, the σ2s orbital is filled first before any other orbitals.
Correct Answer: A — σ2s
Learn More →
Q. In molecular orbital theory, which of the following orbitals is the highest energy in O2?
-
A.
σ2p
-
B.
π2p
-
C.
σ2s
-
D.
π2s
Solution
In O2, the π2p orbitals are the highest energy orbitals.
Correct Answer: B — π2p
Learn More →
Q. In molecular orbital theory, which of the following statements is correct regarding the energy levels of orbitals?
-
A.
σ orbitals are always lower than π orbitals.
-
B.
π orbitals are always lower than σ orbitals.
-
C.
σ* orbitals are always higher than π* orbitals.
-
D.
Energy levels can vary based on the atoms involved.
Solution
The energy levels of molecular orbitals can vary depending on the specific atoms and their electronegativities.
Correct Answer: D — Energy levels can vary based on the atoms involved.
Learn More →
Q. In nuclear fission, the mass of the products is less than the mass of the reactants. What is this mass difference called? (2019)
-
A.
Nuclear mass
-
B.
Binding energy
-
C.
Mass defect
-
D.
Fission energy
Solution
The mass difference in nuclear fission is referred to as the mass defect, which is converted into energy according to Einstein's equation E=mc².
Correct Answer: C — Mass defect
Learn More →
Q. In nuclear fission, the mass of the products is less than the mass of the reactants. What is this mass difference converted into? (2019)
-
A.
Kinetic energy
-
B.
Potential energy
-
C.
Binding energy
-
D.
Radiation
Solution
The mass difference in nuclear fission is converted into kinetic energy of the fission fragments, according to Einstein's equation E=mc².
Correct Answer: A — Kinetic energy
Learn More →
Q. In nuclear fission, what is released apart from energy?
-
A.
Neutrons
-
B.
Protons
-
C.
Electrons
-
D.
Photons
Solution
Nuclear fission releases neutrons along with a significant amount of energy.
Correct Answer: A — Neutrons
Learn More →
Q. In nuclear fission, what is released as a result of the reaction? (2022)
-
A.
Energy and neutrons
-
B.
Only energy
-
C.
Only neutrons
-
D.
Protons and electrons
Solution
Nuclear fission releases a significant amount of energy and additional neutrons, which can induce further fission reactions.
Correct Answer: A — Energy and neutrons
Learn More →
Showing 8491 to 8520 of 20177 (673 Pages)
