Q. In a certain species, the allele for long tails (L) is dominant over the allele for short tails (l). If a long-tailed individual is crossed with a short-tailed individual, what is the expected genotype of the offspring if the long-tailed individual is heterozygous?
A.
LL
B.
Ll
C.
ll
D.
LL or Ll
Solution
The cross Ll x ll will produce offspring with genotypes Ll and ll, so the expected genotype is Ll.
Q. In a certain species, the allele for tall plants (T) is dominant over the allele for short plants (t). If a tall plant (Tt) is crossed with a short plant (tt), what is the expected genotypic ratio of the offspring?
A.
1:1
B.
3:1
C.
1:2:1
D.
2:1
Solution
The cross Tt x tt results in a genotypic ratio of 1 Tt (tall) to 1 tt (short), which is 1:1.
Q. In a certain species, the allele for tall plants (T) is dominant over the allele for short plants (t). If two heterozygous tall plants (Tt) are crossed, what is the expected phenotypic ratio of the offspring?
A.
1:2:1
B.
3:1
C.
9:3:3:1
D.
1:1
Solution
The expected phenotypic ratio from Tt x Tt is 3 tall: 1 short, which is a 3:1 ratio.
Q. In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?
A.
80
B.
60
C.
40
D.
100
Solution
If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, we can set up the proportion: 3/2 = 120/x. Solving for x gives x = 80. Therefore, there are 80 women.
Q. In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men in the town, how many women are there?
A.
80
B.
60
C.
40
D.
100
Solution
If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, then the number of women can be calculated as follows: (2/3) * 120 = 80 women.
Q. In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?
A.
80
B.
90
C.
100
D.
110
Solution
If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Cross-multiplying gives us 3x = 480, so x = 160. Therefore, there are 160 women.
Q. In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men in the town, how many women are there?
A.
80
B.
90
C.
100
D.
110
Solution
If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Solving for x gives x = 160. Therefore, there are 160 women.
Q. In a certain year, the Parliament passed 120 bills. If 30% of these bills were passed in the Lok Sabha, how many bills were passed in the Lok Sabha?
A.
30
B.
36
C.
40
D.
42
Solution
Bills passed in Lok Sabha = 30% of 120 = 0.30 * 120 = 36.
Q. In a certain year, the Parliament passed 150 bills. If 60% of these bills were passed in the Lok Sabha, how many bills were passed in the Lok Sabha?
A.
90
B.
80
C.
70
D.
60
Solution
Bills passed in Lok Sabha = 60% of 150 = 0.6 * 150 = 90.
Q. In a circle, if a chord is 12 cm long and the distance from the center to the chord is 5 cm, what is the radius of the circle?
A.
10
B.
12
C.
13
D.
15
Solution
Using the formula: radius² = (distance from center to chord)² + (half of chord length)². Here, radius² = 5² + (12/2)² = 25 + 36 = 61, so radius = √61, which is approximately 7.81.
Q. In a circle, if a chord is 12 units long and the distance from the center to the chord is 5 units, what is the radius of the circle?
A.
10
B.
12
C.
13
D.
15
Solution
Using the formula: radius² = (distance from center to chord)² + (half of chord length)². Thus, radius² = 5² + (12/2)² = 25 + 36 = 61, so radius = √61 ≈ 7.81.
Q. In a circle, if a tangent and a chord intersect at a point on the circle, and the angle between them is 30°, what is the angle subtended by the chord at the center?
A.
30°
B.
60°
C.
90°
D.
120°
Solution
The angle subtended by the chord at the center is twice the angle between the tangent and the chord, so it is 2 * 30° = 60°.
Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?
A.
20 degrees
B.
40 degrees
C.
80 degrees
D.
160 degrees
Solution
The angle subtended at the circumference is half the angle subtended at the center. Therefore, the angle at the circumference is 80/2 = 40 degrees.
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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