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Q. If the Rajya Sabha has 12 members nominated by the President and the total number of members is 245, what percentage of the Rajya Sabha is nominated?

A. 4.89%
B. 5.00%
C. 6.12%
D. 7.14%

Solution

Percentage of nominated members = (12/245) * 100 = 4.89%.

Correct Answer: B — 5.00%

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Q. If the Rajya Sabha has 12 members nominated by the President and the total number of members is 245, what percentage of the Rajya Sabha members are nominated?

A. 4.89%
B. 5.00%
C. 6.12%
D. 7.14%

Solution

Percentage of nominated members = (12 / 245) * 100 = 4.89%.

Correct Answer: B — 5.00%

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Q. If the Rajya Sabha has 12 members nominated by the President and the total number of members is 245, how many members are elected? (2019)

A. 233
B. 235
C. 240
D. 250

Solution

Total members in Rajya Sabha = 245. Nominated members = 12. Therefore, elected members = 245 - 12 = 233.

Correct Answer: A — 233

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Q. If the Rajya Sabha has 12 nominated members and the total number of members is 245, what percentage of the Rajya Sabha members are nominated?

A. 4.89%
B. 5.00%
C. 6.12%
D. 7.14%

Solution

Percentage of nominated members = (12 / 245) * 100 = 4.89%.

Correct Answer: B — 5.00%

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Q. If the Rajya Sabha has 12 nominated members and the total number of members is 245, how many are elected?

A. 233
B. 232
C. 230
D. 240

Solution

Elected members = Total members - Nominated members = 245 - 12 = 233.

Correct Answer: A — 233

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Q. If the Rajya Sabha has 12 nominated members and the total number of members is 245, what percentage of the Rajya Sabha is nominated?

A. 4.89%
B. 5.00%
C. 6.12%
D. 7.14%

Solution

Percentage of nominated members = (12/245) * 100 = 4.89%.

Correct Answer: B — 5.00%

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Q. If the Rajya Sabha has 12 nominated members and the total number of members is 245, how many members are elected?

A. 233
B. 232
C. 230
D. 240

Solution

Total members = 245, Nominated members = 12. Therefore, Elected members = 245 - 12 = 233.

Correct Answer: A — 233

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Q. If the Rajya Sabha has 245 members and 12 are nominated, what fraction of the members are elected? (2019)

A. 1/20
B. 1/10
C. 1/5
D. 1/4

Solution

Elected members = 245 - 12 = 233. Fraction = 233/245 = 1/5 (approx)

Correct Answer: C — 1/5

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Q. If the Rajya Sabha has 245 members and 50% are from the ruling party, how many members are from the ruling party? (2023)

A. 120
B. 122
C. 125
D. 130

Solution

50% of 245 = 0.5 * 245 = 122. Therefore, 122 members are from the ruling party.

Correct Answer: B — 122

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Q. If the range of a data set is 15 and the minimum value is 5, what is the maximum value?

A. 10
B. 15
C. 20
D. 25

Solution

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 15 + 5 = 20.

Correct Answer: C — 20

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Q. If the range of a data set is 20 and the minimum value is 10, what is the maximum value? (2023)

A. 30
B. 20
C. 10
D. 40

Solution

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 20 + 10 = 30.

Correct Answer: A — 30

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Q. If the range of a data set is 20 and the minimum value is 5, what is the maximum value? (2023)

A. 15
B. 20
C. 25
D. 30

Solution

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 20 + 5 = 25.

Correct Answer: C — 25

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Q. If the ranking of students is as follows: A is ranked 1st, B is ranked 2nd, C is ranked 3rd, and D is ranked 4th. If E is added and ranks 3rd, what will be the new ranking of C?

A. 2nd
B. 3rd
C. 4th
D. 5th

Solution

If E is added and ranks 3rd, C will drop to 4th position.

Correct Answer: C — 4th

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Q. If the rate of a reaction doubles when the temperature increases by 10°C, what is the approximate activation energy? (2020)

A. 20 kJ/mol
B. 40 kJ/mol
C. 60 kJ/mol
D. 80 kJ/mol

Solution

Using the Arrhenius equation, if the rate doubles for a 10°C increase, Ea is approximately 40 kJ/mol.

Correct Answer: B — 40 kJ/mol

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Q. If the rate of a reaction doubles when the temperature is increased by 10°C, what is the approximate activation energy (Ea) of the reaction?

A. 20 kJ/mol
B. 40 kJ/mol
C. 60 kJ/mol
D. 80 kJ/mol

Solution

Using the Arrhenius equation, a rule of thumb states that for every 10°C increase in temperature, the rate doubles if Ea is around 40 kJ/mol.

Correct Answer: B — 40 kJ/mol

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Q. If the rate of a reaction is directly proportional to the concentration of one reactant raised to the power of 3, what is the order of the reaction? (2023)

A. Zero
B. First
C. Second
D. Third

Solution

The order of the reaction is third because the rate is proportional to the concentration raised to the power of 3.

Correct Answer: D — Third

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Q. If the rate of a reaction is given by rate = k[A]², what is the order of the reaction? (2021)

A. Zero
B. First
C. Second
D. Third

Solution

The reaction is second-order because the rate depends on the square of the concentration of A.

Correct Answer: C — Second

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Q. If the rate of change of current in an inductor is 2 A/s, what is the induced EMF if the inductance is 3 H?

A. 6 V
B. 3 V
C. 2 V
D. 1 V

Solution

Induced EMF (ε) = -L(dI/dt) = -3 H * 2 A/s = -6 V.

Correct Answer: A — 6 V

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Q. If the ratio of boys to girls in a class is 3:2 and there are 15 boys, how many girls are there?

A. 5
B. 10
C. 15
D. 20

Solution

Let the number of girls be 2x. Then, 3x = 15; x = 5. Number of girls = 2x = 10.

Correct Answer: B — 10

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Q. If the ratio of boys to girls in a class is 3:2 and there are 30 students in total, how many girls are there? (2019)

A. 12
B. 18
C. 15
D. 10

Solution

Let boys = 3x and girls = 2x. Then, 3x + 2x = 30 => 5x = 30 => x = 6. Girls = 2x = 12.

Correct Answer: A — 12

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Q. If the ratio of consecutive terms in a geometric series is constant, what can be inferred about the series? (2023)

A. It is increasing.
B. It is decreasing.
C. It is exponential.
D. It is linear.

Solution

A constant ratio of consecutive terms indicates that the series is exponential.

Correct Answer: C — It is exponential.

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Q. If the ratio of consecutive terms in a geometric series is constant, what is this constant called? (2023)

A. Common difference
B. Common ratio
C. Term factor
D. Sequence multiplier

Solution

The constant ratio of consecutive terms in a geometric series is called the common ratio.

Correct Answer: B — Common ratio

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Q. If the ratio of consecutive terms in a geometric series is constant, what is this ratio called? (2023)

A. Common difference
B. Common ratio
C. Term ratio
D. Sequence ratio

Solution

The constant ratio of consecutive terms in a geometric series is called the common ratio.

Correct Answer: B — Common ratio

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Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years, what is A's age? (2021)

A. 12
B. 14
C. 16
D. 18

Solution

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 28, giving 7x = 28, so x = 4. Thus, A's age = 3x = 12.

Correct Answer: B — 14

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Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28, what is A's age? (2022)

A. 12
B. 14
C. 16
D. 18

Solution

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 28, so 7x = 28, giving x = 4. Thus, A's age = 3x = 12.

Correct Answer: A — 12

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Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56 years, what is A's age?

A. 24
B. 21
C. 28
D. 30

Solution

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 56, giving 7x = 56, so x = 8. Thus, A's age = 3x = 24.

Correct Answer: A — 24

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Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56, what is A's age?

A. 24
B. 28
C. 32
D. 36

Solution

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 56, 7x = 56, x = 8. A's age = 3x = 24.

Correct Answer: B — 28

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Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 70, what is A's age? (2022)

A. 30
B. 35
C. 40
D. 45

Solution

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 70, giving 7x = 70, so x = 10. Thus, A's age = 3x = 30.

Correct Answer: B — 35

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Q. If the ratio of the ages of A and B is 5:3 and the sum of their ages is 64 years, what is A's age?

A. 40
B. 32
C. 30
D. 28

Solution

Let A's age be 5x and B's age be 3x. Then, 5x + 3x = 64, which gives 8x = 64. Therefore, x = 8, and A's age is 5x = 40 years.

Correct Answer: A — 40

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Q. If the ratio of the lengths of two rectangles is 7:4 and the length of the first rectangle is 28 cm, what is the length of the second rectangle?

A. 16
B. 12
C. 14
D. 10

Solution

Let the lengths be 7x and 4x. Given 7x = 28, x = 4. Therefore, the length of the second rectangle = 4x = 4*4 = 16.

Correct Answer: A — 16

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Major Competitive Exams

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