Neuroverse 2.0 Qualifier Questions.txt

Mathematics


1. A relation R in a set A is called _______, if (a1, a2) ∈ R implies (a2, a1) ∈ R, for all a1, a2 ∈ A.
(a) symmetric
(b) transitive
(c) equivalence
(d) non-symmetric
Correct option: (a) symmetric
2. An employee has a 20% decrease in his salary.  He will regain his original pay by obtaining a rise of 
1. 27.5%
2. 25%
3. 20%
4. 22.5%
Answer: b) 25%


3. If f: R → R be given by f(x) =(3 – x3)1/3, then f o f(x) is
(a) x1/3
(b) x3
(c) x
(d) (3 – x3)
Correct option: (c) x






4. If A = [aij] is a square matrix of order 2 such that aij = 1, when i ≠ j and aij = 0, when i = j, then A2 is


(a)   |1  0|
       |1  0|
(b)   |1  1|
       |0  0|
(c)   | 1  1|
       |1  0|
(d)   | 1  0|
       |0  1|
Correct option:
   (d)   | 1  0|
                                 |0  1|


5. If A and B are two matrices of the order m × 3 and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is
(a) m × 3
(b) 3 × 3
(c) m × n
(d) 3 × n
Correct option: (d) 3 × n


6.Which of the following equation represents a function? 
A.|x| + |y| = 2 
B.|x + y| = 2 
C.|y| = x^2 + sin x 
D.|x|^2 - x = y


Correct option: D.|x|^2-x=y




7. If a set A has 3 elements. Then the number of elements in A x A x A will be
1. 3
2. 8
3. 6
4. 27
Answer: d) 27


8.  Let A, B are two n x n matrices, then which one is wrong??
1. (A^T)^T = A
2. (A + B)^T = A^T + B^T
3. |A^T| = |A|
4. (AB)^T = (A^T)*(B^T)
Answer: d) (AB)^T = (A^T)*(B^T)














9. Given X = 365 and Y = (364+363+362+…+1). Which of the following is true?
a) Y is 364 larger than X
b) X and Y are equal
c) Y is larger than X by 1
d) X is larger than 2Y by 1
Answer: d) X is larger than 2Y by 1


10. Find the unit digit of the expression 256785 + 36728 + 362.
a) 0
b) 1
c) 4
d) 6
Answer: a) 0.


Statistics
1. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, what is the value of P (A ∩ B)?
A. 0.32
B. 0.25
C. 0.1
D. 0.5
Answer: A. 0.32
2. There are 3 black balls and 3 blue balls in a bag from which a ball is chosen randomly. It is not put back and another ball is chosen randomly. The probability that we have a 2 balls with different colors is
1. 0.1
2. 0.6
3. 0.5
4. 0.3


Answer: b) 0.6


3. An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
A. 3/7
B. 7/3
C. 1/7
D. 1/3
Answer: A. 3/7
4. What is the probability of getting a non – numbered card from a well shuffled standard deck?
a) 4 / 13
b) 6 / 13
c) 5 / 13
d) 3 / 13


Answer: a)


5. Three unbiased coins are tossed. What is the probability of getting at most one H?
a) 5/8
b) 1/4
c) 1/2
d) ⅜


Answer: c) ½


6. In how many ways a group consisting of 4 men and 3 women can be formed from 6 men and 5 women?
a) 120
b) 60
c) 150
d) 240


Answer: c) 150


7. How many three digit numbers can be formed such that all the digits are even?
a) 120
b) 100
c) 720
d) 125


Answer: b) 100


8. An alphabet is chosen at random from the word “MATHEMATICS”. What is the probability of it being a vowel?
a) 7/11
b) 6/11
c) 4/11
d) 5/11


Answer: c) 4/11


9. A bag contains 10 black balls, 5 red balls and 5 white balls. What is the probability of getting either a red or a white ball?


a) 1/4
b) 1/2
c) 3/4
d) 1 


Answer: b) 1/2


10. A matrix is chosen at random from the set of all 2x2 matrices with elements 0 or 1 only. The probability that the determinant of the chosen matrix is non-zero is 
(A) 3/16 (B) 3/8 (C) 1/8 (D) 1 
Answer: B) ⅜


11. A flag is to be designed with 5 vertical stripes using some or all of the four colours: green, maroon, red and yellow. In how many ways can this be done so that no two adjacent stripes have the same colour? (A) 576. (B) 120. (C) 324. (D) 432.
Answer: C) 324
Logical
1.
  

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is _____
A. 1/8
B. 1/6
C. 1/2
D. 1/4
Answer: D. 1/4








2. The following diagram shows the number of students who study Geography, History, Civics and Constitution. If the total number of students is 500, then what is the number of students who study History and Geography but not Constitution or civics?
  

a) 18
b) 12
c) 10
d) 11
Answer: c) 10


3. In a certain code “CODE” is written as “DQGI”. How is “DEFENCE” is written in that code?
a) EFGFODF
b) EGIISIL
c) KWMCJFL
d) ELDFSAP
Answer b) EGIISIL


4. Today is Wednesday. After 81 days, what will be the day?
a) Sunday
b) Saturday
c) Thursday
d) Tuesday


Answer: a) Sunday


5. If P is sister of T, V is brother of K and T is son of V. L is son of K. How is T related to L?
a) Nephew
b) Grandson
c) Brother
d) Cousin


Answer d) Cousin


6. Find the correct alternative which will replace the question mark?
 Missing Figures - Q1 

a) 7
b) 25
c) 4
d) 59


Answer c) 4




7.  Find the correct alternative which will replace the question mark?
 Missing Figures - Set 10 - Q5 

a) 32043
b) 25235
c) 14860
d) 28423


Answer c) 14860
















8. Find the odd one out from the following figures.
  
[a]
a) A
b) B
c) C
d) D
Answer a) A




9. Identify the figure which satisfies the same condition of placement of dots as in the given figure.
 Dot Situation Analysis - Set 5 - Q4 

a)
 Dot Situation Analysis - Set 5 - Q4 - Option a 

b)
 Dot Situation Analysis - Q4 - Option b 

c)
 Dot Situation Analysis - Q4 - Option c 

d)
 Dot Situation Analysis - Q4 - Option d 

Answer b)  Dot Situation Analysis - Q4 - Option b 


4. Study the table and find the value of U.


	Cost price
	Marked price
	Discount
	Selling price
	Profit/Loss %
	Article 1
	12500
	+20%
	10%
	M
	R
	Article 2
	12780
	+25%
	15%
	N
	S
	Article 3
	12560
	(-) 30%
	12%
	O
	T
	Article 4
	12210
	(-) 10%
	22%
	P
	U
	Article 5
	12200
	+50%
	20%
	Q
	V
	a) 28.28% loss
b) 28.28% profit
c) 30.24% loss
d) 30.24% profit
Answer c) 30.24% loss
Programming


1. Find the output;
        func(x, y):
        {
                if(y != 0) 
return (x * func(x, y-1))
                else 
return 1;
}
        What is the value of func(3,4)?
1. 125
2. 216
3. 64
4. 81
Answer: d) 81


2. What is the range of values that can be stored by int datatype of 8 bytes in C?
A.-(2^31) to (2^31) - 1
B.-256 to 255
C.-(2^63) to (2^63) - 1
D.0 to (2^31) - 1
Answer.A:-(2^31) to (2^31) - 1


3.How is the 3rd element in an array accessed based on pointer notation?
A.*a + 2
B.*(a + 2)
C.*(*a + 2)
D.&(a + 2)
Answer: B)*(a + 2)




4.What is the output of the following code snippet?
for(print(“RK”);print(“MV”);print(“CC”))
A.RKMVCCCCCC…
B.RKMV
C.RKMVCCMVCC…
D.RKMVCCRKMVCC…
Answer: C. RKMVCCMVCC……


5.Binary Tree is defined as a tree data structure where each node has at most 2 children. Since each element in a binary tree can have only 2 children, we typically name them the left and right child.
The topmost node of the tree is called the root, and the nodes below it are called the child nodes.
Each tree can be divided into sub trees with the top most node being the root.


root:The top most node of a tree.
Left Child:The Left Child node of a node.
Right :The Right node of a node


To traverse a tree there are many functions,one of them is called the preorder traversal method.


procedure preorderTraversal(node): 
if node is null then 
return 
end if 
print node.data, " " 
preorderTraversal(node.left) 
preorderTraversal(node.right) 
end procedure


  











































What will be the outcome of calling preorderTraversal on this binary tree?


A.1 2 5 5 6 7 9 9 11
B.1 7 2 6 5 11 9 9 5
C.1 2 5 5 6 11 9 9 5
D.2 7 5 11 6 1 9 5 9


Answer: B.1 7 2 6 5 11 9 9 5
6. Give the result of the variable answer.
x := 5
y := 7
z := 9
answer := 0
while (x < y) { 
while (y < z) { 
answer := x + y * z
z:=z-1  
} 
x:=x+1
}
A.54
B.61
C.55
D.1
Answer:B)61
7.Assign a color to each vertex in such a way that no two adjacent vertices have the same color.
Determine the minimum number of colors required to achieve a proper vertex coloring.


  

A.8
B.3
C.4
D.5
Answer:B)3








8.A company has a rule that the salary expected by each person is equal to
        S=10T-L+(log5(n2))
                T=Total number of levels
                L=Level of the employee
                n=how many other members are at that level


  

What is the salary expected by Sal?? Number of levels starts at 0.
1. 1002
2. 104
3. 1004
4. 102


Answer: A) 1002


9. Find the pattern of the code 
 for( i :=0; i<n;  i=i+1 )  {  
   for( j:=0; j<i; j= j+1)  {  
       print(" ");     }  
   for( k:=1; k<=n-i; k=k+1)  {  
     print("*");     }  
   print("\n");   }  
for( i:=1;i<n;i=i+1)  {  
  for( j:=1;j<n-i;j =j+1)    {  
    print(" ");    }  
  for( k:=1;k<=i+1;k=k+1)   {  
    print("*");    }  
  print("\n");  } 
1. * * * * *
   * * * *
      * * *
         * *
            *


2. * * * * *              *
   * * * *           * * 
      * * *        * * *
         * *     * * * * 
            *  * * * * *
3. * * * * *
   * * * *
      * * *
         * *
            *
         * *
      * * *
   * * * *
* * * * *
4.        *
     * * 
   * * *
 * * * * 
                       * * * * *
10.The prefix form of A-B/ (C * D ^ E) is?
a) -A/B*C^DE
b) -A/BC*^DE
c) -ABCD*^DE
d) -/*^ACBDE
Answer: a)-A/B*C^DE










[a]1 total reaction
Boruto Uzamaki reacted with 😏 at 2024-02-04 07:03 AM