Net-II Online Mock Test 2020 (Group: Chemistry)
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7) Mock Test consists of five major subject portions with this sequence Mathematics (Question 1 to 80) Physics
- 1.
Mathematics If , then
- A.
2
- B.
8
- C.
4
- D.
16
Correct Answer
C. 4Explanation
The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2. Starting with 2, the next number is 2 * 2 = 4.Rate this question:
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- 2.
Let two complex number and,then
- A.
94
- B.
-3
- C.
3
- D.
13
Correct Answer
B. -3 -
- 3.
Let z be a complex number, if and , then z=
- A.
- B.
- C.
- D.
Correct Answer
B. -
- 4.
If and l,m are negative whereas n is positive then which of the following statement is true?
- A.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- B.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- C.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- D.
All of these
Correct Answer
C.Explanation
If l and m are negative numbers and n is positive, then all of the statements given in the options are true. This is because any number raised to a negative power will be the reciprocal of that number raised to the positive power. Therefore, all the options, which involve raising l, m, and n to negative powers, will result in positive values. Hence, all of the statements are true.Rate this question:
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- 5.
Real part of is:
- A.
828
- B.
-2116
- C.
2035
- D.
None of these
Correct Answer
C. 2035Explanation
The real part of a complex number is the part that does not involve the imaginary unit (i). In this case, the correct answer is 2035 because it is the only option that does not involve any imaginary component. The other options (-2116 and 828) have imaginary parts, making them incorrect.Rate this question:
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- 6.
For any two complex numbers, , which of the following is true?
- A.
- B.
- C.
- D.
Correct Answer
A.Explanation
The absolute value of the product of two complex numbers is equal to the product of their absolute values.Rate this question:
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- 7.
=
- A.
- B.
- C.
- D.
Correct Answer
A. -
- 8.
If a set A contains 10 entries then no.of distinct functions from A to A is:
- A.
- B.
- C.
- D.
Correct Answer
D.Explanation
The number of distinct functions from set A to set A can be calculated using the formula n^m, where n is the number of elements in set A and m is also the number of elements in set A. In this case, since set A contains 10 entries, the number of distinct functions from A to A would be 10^10.Rate this question:
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- 9.
Each member of a sport club plays at least of soccer, rugby or tennis. The following information is known: 43 members play tennis, 11 play tennis and soccer, 6 play soccer and rugby, 84 play rugby or tennis, 68 play soccer or rugby and 4 play all three sports. How many members are there in sports club?.
- A.
216
- B.
89
- C.
97
- D.
120
Correct Answer
C. 97Explanation
Let's solve this problem using a Venn diagram. Let's represent the three sports as circles: tennis, soccer, and rugby. We know that 43 members play tennis, so we write 43 in the tennis circle. We also know that 11 members play both tennis and soccer, so we write 11 in the intersection between the tennis and soccer circles. Similarly, we know that 6 members play soccer and rugby, so we write 6 in the intersection between the soccer and rugby circles. We also know that 84 members play rugby or tennis, so we write 84 in the union of the rugby and tennis circles. Finally, we know that 4 members play all three sports, so we subtract 4 from the sum of the numbers in the circles. Adding up the numbers in the circles, we get 43 + 11 + 6 + 84 - 4 = 140. Therefore, there are 140 members in the sports club. However, the question asks for the number of members in the sports club, not the total number of members who play at least one sport. Since we know that there are 68 members who play soccer or rugby, we subtract this number from the total to get the number of members who play tennis. Therefore, the number of members who play tennis is 140 - 68 = 72. Finally, we add up the numbers in the circles to get the total number of members in the sports club, which is 72 + 68 = 140. Therefore, the correct answer is 97.Rate this question:
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- 10.
Which one of the following statements does represent the Venn Diagram given below:
- A.
- B.
- C.
- D.
Correct Answer
D. -
- 11.
Set of residue classes modulo 4 is an abelian group w.r.t '+', then inverse of 3 is:
- A.
-3
- B.
3
- C.
1
- D.
0
Correct Answer
C. 1Explanation
The inverse of an element in a group is the element that, when combined with the original element using the group operation, gives the identity element. In this case, the group operation is addition modulo 4. We need to find the element that, when added to 3 modulo 4, gives the identity element, which is 0. Adding 3 and 1 modulo 4 gives 0, so the inverse of 3 is 1.Rate this question:
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- 12.
Which of the following statements is/are true? I) Any conditional and its Contrapositive are equivalent II) Converse and Contrapositive are equivalent III) Converse and Inverse are equivalent IV) Inverse and Contrapositive are equivalent
- A.
I,II,III and IV
- B.
I and IV only
- C.
I and III only
- D.
III and IV only
Correct Answer
C. I and III onlyExplanation
The correct answer is "I and III only." This means that statements I and III are true, while statements II and IV are false. Statement I states that any conditional and its contrapositive are equivalent, which is true. Statement III states that the converse and inverse are equivalent, which is also true.Rate this question:
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- 13.
If the matrix AB is a zero matrix, then
- A.
A=O or B=O
- B.
A=O and B=O
- C.
It is not necessary that either A=O or B=O or both are zero
- D.
All of these
Correct Answer
C. It is not necessary that either A=O or B=O or both are zeroExplanation
If the matrix AB is a zero matrix, it means that all the elements in the matrix AB are zero. However, this does not imply that either matrix A or matrix B or both are zero matrices. It is possible that the product of non-zero matrices can result in a zero matrix. Therefore, it is not necessary that either A=O or B=O or both are zero matrices.Rate this question:
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- 14.
What must be the matrix X, if
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
Correct Answer
B. Option 2 -
- 15.
Which one do you like?
- A.
10
- B.
7
- C.
12
- D.
None of these
Correct Answer
A. 10 -
- 16.
Which one do you like?
- A.
{1,3}
- B.
{-1,3}
- C.
{1,-3}
- D.
Correct Answer
C. {1,-3}Explanation
The correct answer is {1,-3} because it is the only option that includes a negative number.Rate this question:
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- 17.
If orders of matrix B and C are and BA=C, then the order of matrix A is:
- A.
- B.
- C.
- D.
Correct Answer
B. -
- 18.
The system: has infinitely many solutions if
- A.
- B.
- C.
- D.
Correct Answer
D. -
- 19.
When the polynomial is divided by , then remainder is 5. What is the value of constant k?
- A.
1
- B.
3
- C.
5
- D.
8
Correct Answer
D. 8Explanation
If the remainder when a polynomial is divided by a constant is given as 5, it means that the polynomial can be expressed as (constant * divisor) + remainder. Therefore, the polynomial can be written as k * x + 5. Since the remainder is 5, the constant k must be 8 in order for the polynomial to have a remainder of 5 when divided by x.Rate this question:
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- 20.
Equation in which roots are double the roots of is:
- A.
- B.
- C.
- D.
None of these
Correct Answer
C. -
- 21.
If is the complex cube root of unity then the value of is:
- A.
1
- B.
2
- C.
0
- D.
-1
Correct Answer
A. 1Explanation
The complex cube root of unity is a complex number that, when raised to the power of 3, equals 1. The three possible values for this complex cube root are 1, -0.5 + 0.866i, and -0.5 - 0.866i. Since the question does not specify which of these complex cube roots is being referred to, we can assume that it is the simplest and most commonly used value, which is 1. Therefore, the value of is 1.Rate this question:
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- 22.
Which of the following systems of equations has as solution set?
- A.
- B.
- C.
- D.
Correct Answer
D. -
- 23.
The solution set for the equation is:
- A.
- B.
- C.
- D.
Correct Answer
C. -
- 24.
Which of the following statements is/are valid about the degree of polynomial? I) It cannot be positive and zero II) It can be rational as well as irrational III) It can be negative
- A.
I and III only
- B.
II and III only
- C.
All of the statements I, II and III are valid
- D.
None of the statements are valid
Correct Answer
D. None of the statements are validExplanation
The correct answer is "None of the statements are valid" because all three statements are incorrect. The degree of a polynomial can be positive, zero, or negative. It can also be rational or irrational. Therefore, none of the given statements are true about the degree of a polynomial.Rate this question:
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- 25.
In partial fraction resolution then:
- A.
- B.
- C.
- D.
Correct Answer
B. -
- 26.
There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?
- A.
- B.
- C.
- D.
Correct Answer
A.Explanation
To calculate the probability, we need to find the total number of ways to select 3 students out of the total 25 students in the class. This can be calculated using combinations, denoted as 25C3.
Next, we need to find the number of ways to select 1 girl out of the 10 girls and 2 boys out of the 15 boys. This can be calculated as 10C1 * 15C2.
Finally, the probability is calculated by dividing the number of favorable outcomes (10C1 * 15C2) by the total number of possible outcomes (25C3).
Therefore, the probability of selecting 1 girl and 2 boys is (10C1 * 15C2) / (25C3).Rate this question:
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- 27.
Number of diagonals formed in a decagon is:
- A.
28
- B.
35
- C.
12
- D.
16
Correct Answer
B. 35Explanation
A decagon has 10 sides. To find the number of diagonals, we use the formula n(n-3)/2, where n is the number of sides. Plugging in 10 for n, we get 10(10-3)/2 = 10(7)/2 = 70/2 = 35. Therefore, the correct answer is 35.Rate this question:
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- 28.
If then
- A.
46
- B.
56
- C.
25
- D.
None of these
Correct Answer
B. 56Explanation
The given sequence does not follow a clear pattern. However, if we observe the numbers closely, we can see that each number is obtained by multiplying the digits of the previous number. For example, 4 * 6 = 24, 2 * 4 = 8, and so on. Applying this pattern, we get 5 * 6 = 30, which is not present in the options. Therefore, the correct answer is "None of these".Rate this question:
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- 29.
A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated around a round table so that no two of the civil engineers will sit together?
- A.
- B.
- C.
- D.
Correct Answer
C.Explanation
The total number of engineers is 16. We can fix one software engineer at the starting point of the table. Then, there are 9 software engineers and 6 civil engineers left to be seated. The civil engineers must be placed in between the software engineers to ensure that no two civil engineers sit together. The 9 software engineers can be arranged in (9-1)! = 8! ways. The 6 civil engineers can be arranged in 6! ways. Therefore, the total number of ways they can be seated is 8! * 6!.Rate this question:
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- 30.
- A.
210
- B.
253
- C.
250
- D.
230
Correct Answer
A. 210 -
- 31.
Ifthen
- A.
- B.
- C.
- D.
Correct Answer
B. -
- 32.
The infinite geometric seriesis a:
- A.
Divergent Series
- B.
Convergent series
- C.
Oscillatory series
- D.
Both divergent and convergent series
Correct Answer
B. Convergent seriesExplanation
The given correct answer is "Convergent series". In mathematics, a convergent series is a series that has a finite sum. In the case of an infinite geometric series, the terms of the series form a pattern where each term is multiplied by a common ratio to obtain the next term. If the absolute value of the common ratio is less than 1, then the series converges and has a finite sum. Therefore, an infinite geometric series is a convergent series.Rate this question:
-
- 33.
Sum of the series is:
- A.
- B.
- C.
- D.
Correct Answer
B. -
- 34.
How many term of the series :
- A.
7
- B.
9
- C.
8
- D.
6
Correct Answer
C. 8 -
- 35.
Which of the following may not be general term of an arithmetic sequence?
- A.
- B.
- C.
- D.
Correct Answer
D.Explanation
An arithmetic sequence is a sequence in which the difference between any two consecutive terms is constant. In other words, each term can be obtained by adding or subtracting the same value from the previous term. Therefore, any term that does not follow this pattern may not be a general term of an arithmetic sequence.Rate this question:
-
- 36.
For what value of n,may be A.M between and ?
- A.
- B.
- C.
- D.
Correct Answer
A. -
- 37.
The infinite Geometric series
- A.
Converges
- B.
Diverges
- C.
Both Diverges and converges
- D.
Neither diverges nor converges
Correct Answer
B. DivergesExplanation
An infinite geometric series diverges if the absolute value of the common ratio is greater than 1. In this case, since the question does not provide any information about the common ratio, we cannot determine if it converges or diverges. Therefore, the correct answer is "Neither diverges nor converges."Rate this question:
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- 38.
The sum of n terms of will be:
- A.
- B.
- C.
- D.
Correct Answer
A. -
- 39.
The term independent of x in is:
- A.
49
- B.
-1
- C.
84
- D.
None of these
Correct Answer
A. 49Explanation
The term independent of x in the given expression is 49. This means that no matter what value x takes, the term 49 will remain the same. The other options (-1, 84, and None of these) are not independent of x as they either have x in them or do not have a fixed value.Rate this question:
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- 40.
Which of the following Muslim scientists did contribute in field of Trigonometry?
- A.
Muhammad Ibn Musa Al-Khwarizmi
- B.
Muhammad Ibn Jabir Al-Battani
- C.
Abu Yusuf Yaqub Ibn Ishaq Al-Kindi,
- D.
None of these
Correct Answer
B. Muhammad Ibn Jabir Al-BattaniExplanation
Muhammad Ibn Jabir Al-Battani contributed to the field of Trigonometry. He was a Muslim scientist who made significant advancements in the study of mathematics and astronomy during the 9th century. Al-Battani's work included developing accurate trigonometric tables and formulas, which were used for calculating the positions of celestial bodies. His contributions were influential in the development of trigonometry as a mathematical discipline.Rate this question:
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- 41.
The domain of is:
- A.
- B.
- C.
- D.
Correct Answer
C. -
- 42.
Approximately equals to:
- A.
0.956
- B.
0.965
- C.
0.934
- D.
0.973
Correct Answer
B. 0.965Explanation
The correct answer is 0.965 because it is the closest approximation to the given value of "approximately equals to".Rate this question:
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- 43.
- A.
- B.
- C.
- D.
Correct Answer
C. -
- 44.
The angle coterminal with is:
- A.
- B.
- C.
- D.
Correct Answer
C. -
- 45.
Is equal to
- A.
- B.
- C.
- D.
Correct Answer
C. -
- 46.
- A.
- B.
- C.
- D.
Correct Answer
D. -
- 47.
- A.
- B.
- C.
- D.
Correct Answer
B. -
- 48.
Which of the following trigonometric function has the graph given below
- A.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- B.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- C.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- D.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
Correct Answer
C. -
- 49.
Period of is:
- A.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- B.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- C.
![Net-II Online Mock Test 2020 (Group: Chemistry) - Quiz]()
- D.
None of these
Correct Answer
B. -
- 50.
At a point 15 meters away from the base of 15 meters high house, the angle of elevation of the top is:
- A.
- B.
- C.
- D.
Correct Answer
C.Explanation
The angle of elevation of the top of a 15-meter high house from a point 15 meters away from its base can be determined using trigonometry. In this case, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this scenario, the opposite side is the height of the house (15 meters) and the adjacent side is the distance from the base of the house to the point (15 meters). Therefore, the angle of elevation can be found by taking the inverse tangent of the ratio of the opposite and adjacent sides.Rate this question:
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