Q. In a certain number system, the number 12 is represented as 'A' and the number 18 as 'B'. If 'A' is a factor of 'B', which of the following statements is true?
A.
A is greater than B
B.
B is a multiple of A
C.
A and B are equal
D.
A is a multiple of B
Solution
'B' (18) is a multiple of 'A' (12) since 18 can be expressed as 12 multiplied by 1.5.
Q. In a certain number system, the number 12 is represented as 'AB'. If 'A' is a factor of 12 and 'B' is a multiple of 3, which of the following could be the value of 'AB'?
A.
24
B.
36
C.
48
D.
60
Solution
'A' can be 1, 2, 3, 4, 6, or 12 (factors of 12) and 'B' can be 3, 6, 9, 12, etc. The only combination that fits is A=3 and B=12, which gives us 36.
Q. In a certain number system, the number 12 is represented as 'AB'. If 'A' is a factor of 12 and 'B' is a multiple of 3, which of the following could be the representation of 12?
A.
24
B.
36
C.
48
D.
60
Solution
'A' can be 3 or 4 (factors of 12), and 'B' can be 3, 6, or 9 (multiples of 3). The only combination that fits is 3 and 4, which gives us 24.
Q. In a certain number system, the number 12 is represented as 'AB'. If 'A' is a factor of 12 and 'B' is a multiple of 3, which of the following pairs (A, B) is valid?
A.
(1, 3)
B.
(2, 6)
C.
(3, 9)
D.
(4, 12)
Solution
In this case, A must be a factor of 12 (1, 2, 3, 4, 6, 12) and B must be a multiple of 3 (3, 6, 9, 12). The pair (2, 6) satisfies both conditions.
Q. In a certain plant species, tall (T) is dominant over short (t). If a homozygous tall plant is crossed with a homozygous short plant, what will be the genotype of the offspring?
A.
TT
B.
Tt
C.
tt
D.
Tt and tt
Solution
The homozygous tall plant (TT) crossed with a homozygous short plant (tt) will produce all offspring with the genotype Tt.
Q. In a certain polygon, if one angle measures 120 degrees and the polygon is regular, how many sides does it have?
A.
6
B.
5
C.
8
D.
7
Solution
In a regular polygon, each interior angle can be calculated using the formula (n-2) * 180/n. Setting this equal to 120 degrees and solving for n gives n = 6, indicating a hexagon.
Q. In a certain species of fruit flies, the allele for red eyes (R) is dominant over the allele for white eyes (r). If two red-eyed flies, one homozygous (RR) and one heterozygous (Rr), are crossed, what percentage of the offspring will have white eyes?
A.
0%
B.
25%
C.
50%
D.
100%
Solution
The cross RR x Rr will produce all red-eyed offspring (100% R). Thus, 0% will have white eyes.
Q. In a certain species of pea plants, round seeds (R) are dominant over wrinkled seeds (r). If a round seed plant with genotype Rr is crossed with a wrinkled seed plant (rr), what is the expected genotype ratio of the offspring?
A.
1:1
B.
3:1
C.
1:2:1
D.
2:1
Solution
The cross Rr x rr results in 1 Rr (round) and 1 rr (wrinkled), giving a genotype ratio of 1:1.
Q. In a certain species, the allele for blue eyes (b) is recessive to the allele for brown eyes (B). If a brown-eyed man (Bb) marries a blue-eyed woman (bb), what is the probability that their child will have blue eyes?
A.
0%
B.
25%
C.
50%
D.
100%
Solution
The cross Bb x bb results in 50% Bb (brown) and 50% bb (blue), so the probability of having a blue-eyed child is 50%.
Q. In a certain species, the allele for blue eyes (b) is recessive to the allele for brown eyes (B). If two heterozygous brown-eyed individuals (Bb) have children, what is the probability that a child will have blue eyes?
A.
0%
B.
25%
C.
50%
D.
75%
Solution
The cross Bb x Bb results in a 1/4 chance of bb (blue eyes), so the probability is 25%.
Q. In a certain species, the allele for blue flowers (B) is dominant over the allele for white flowers (b). If two blue-flowered plants, both heterozygous (Bb), are crossed, what is the expected phenotypic ratio of the offspring?
A.
1:1
B.
3:1
C.
1:2:1
D.
2:1
Solution
The cross Bb x Bb results in a phenotypic ratio of 3 blue (BB or Bb) to 1 white (bb), which is 3:1.
Q. In a certain species, the allele for blue flowers (B) is dominant over the allele for white flowers (b). If two blue-flowered plants, one homozygous (BB) and one heterozygous (Bb), are crossed, what percentage of the offspring will have white flowers?
A.
0%
B.
25%
C.
50%
D.
100%
Solution
The cross BB x Bb will produce 100% blue flowers (BB or Bb), so 0% will have white flowers.
Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams? Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams? Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions? Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
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