1.
In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. 225x^{2} -4 = 0√225y +2=0
Correct Answer
D. X ≥ y
Explanation
The given equations are 225x^2 - 4 = 0 and √225y + 2 = 0.
To solve the first equation, we can rewrite it as 15x^2 - 2 = 0 by taking the square root of 225 and simplifying. Solving this quadratic equation, we find that x = ±√(2/15).
To solve the second equation, we can rewrite it as √(225y) = -2 and then square both sides to eliminate the square root. This gives us 225y = 4, and solving for y, we find that y = 4/225.
Comparing the values of x and y, we can see that x ≥ y. Therefore, the correct answer is x ≥ y.
2.
In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. x^{3} - 878 = 453y^{2} - 82 = 39
Correct Answer
D. X ≥ y
Explanation
The given equations are x^3 - 878 = 453y^2 - 82 = 39. By solving the equations, we can find the values of x and y. However, the relationship between x and y cannot be determined based on the given equations. Therefore, the answer is x = y or the relationship between x and y cannot be determined.
3.
In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. 9x- 15.45 = 54.55 +4x√(y + 155) - √36 = √49
Correct Answer
E. X = y or the relationship between x and y cannot be determined
Explanation
By solving the first equation, we can simplify it to 5x = 109. By solving the second equation, we can simplify it to √(y + 155) = 7. Since the first equation gives a unique value for x and the second equation gives a unique value for y, we can conclude that x and y are equal, i.e., x = y. Therefore, the relationship between x and y can be determined as x = y.
4.
In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer.x2 + 11x+ 30 = 0y2 + 7y + 12 = 0
Correct Answer
A. x < y
Explanation
To find the relationship between x and y, we need to solve both equations.
For the first equation, we can factorize it as (x + 5)(x + 6) = 0. This gives us two possible values for x: x = -5 or x = -6.
For the second equation, we can factorize it as (y + 3)(y + 4) = 0. This gives us two possible values for y: y = -3 or y = -4.
Comparing the possible values of x and y, we can see that for both cases (x = -5 or x = -6), y is always greater than x. Therefore, the correct answer is x < y.
5.
Directions: What should come in place of the question mark (?) in the following questions?√1.5625= ?
Correct Answer
D. 1.25
Explanation
The square root of 1.5625 is 1.25. This can be determined by finding the number that, when multiplied by itself, equals 1.5625. In this case, 1.25 multiplied by itself equals 1.5625. Therefore, the correct answer is 1.25.
6.
Directions: What should come in place of the question mark (?) in the following questions? (10^{3.7} × 10^{1.3 })^{2} = 10^{?}
Correct Answer
E. None of the above
Explanation
Correct answer is 10
7.
Directions: What should come in place of the question mark (?) in the following questions?3 * ? + 30 = 0
Correct Answer
E. None of the above
Explanation
Correct answer is -10
8.
Directions: What should come in place of the question mark (?) in the following questions?36865+12473+21045-44102 = ?
Correct Answer
C. 26281
Explanation
The correct answer is 26281. This can be obtained by adding the first three numbers and then subtracting the fourth number. 36865 + 12473 + 21045 - 44102 = 26281.
9.
In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. 5x^{2} - 18x +9 = 020y^{2} - 13y + 2 = 0
Correct Answer
B. X > y
Explanation
The given equations are quadratic equations. By solving both equations, we can determine the values of x and y. Since the answer is x > y, it means that the value of x is greater than the value of y.
10.
What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)25.675% of 1321 + 64.328% of 4001 =
Correct Answer
A. 2912
Explanation
The approximate value that should come in place of the question mark is 2912. This can be determined by calculating 25.675% of 1321, which is approximately 339.05, and 64.328% of 4001, which is approximately 2572.95. Adding these two values together gives approximately 2911, which is closest to the given answer of 2912.
11.
3, 9, 17, 27, 39, 53, ?
Correct Answer
B. 69
Explanation
The pattern is +6, +8, +10, ....
So answer is 53 + 16 = 69
12.
5042, 5187, 5334, 5483, 5634, ?
Correct Answer
C. 5787
Explanation
The pattern is +145, +147, +151, .....
So the answer is 5634 + 153 = 5787
13.
8, 17, 38, 85, 186, ?
Correct Answer
C. 397
Explanation
The pattern is *2 + 1 square, *2 + 2 square, *2 + 3 square, ....
So the answer is 186 * 2 + 5 square = 372 + 25 = 397
14.
In the following number series only one number is wrong. Find out the wrong number.9 , 5 , 6 , 10.5 , 23 , 61, 183
Correct Answer
C. 61
Explanation
The sequence in the series is:
9 x 0.5 + 0.5 = 5
5 x 1 + 1 = 6
6 x 1.5 + 1.5 = 10.5
10.5 x 2 + 2 = 23
23 x 2.5 + 2.5 = 60 ≠ 61
60 x 3 + 3 = 183
15.
In the following number series only one number is wrong. Find out the wrong number.2, 4 , 11 , 37 , 151 , 771 , 4633
Correct Answer
D. 151
Explanation
The sequence in the series is:
2 x 1 + 2 = 4
4 x 2 + 3 = 11
11 x 3 + 4 = 37
37 x 4 + 5 = 153 ≠ 151
153 x 5 + 6 = 771
771 x 6 + 7 = 4633