Quant Mock (Number Series, Simplifications, Quadratic Equations)

1) 3, 9, 17, 27, 39, 53, ?

64

69

74

78

81

The pattern is +6, +8, +10, ....
So answer is 53 + 16 = 69

Explanation

The pattern is +6, +8, +10, ....
So answer is 53 + 16 = 69

2) 5042, 5187, 5334, 5483, 5634, ?

5716

5748

5787

5793

None of these

The pattern is +145, +147, +151, .....

So the answer is 5634 + 153 = 5787

Explanation

The pattern is +145, +147, +151, .....

So the answer is 5634 + 153 = 5787

3) 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 =

2912

3016

3126

6254

None of these

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.

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.

4) 8, 17, 38, 85, 186, ?

318

354

397

408

427

The pattern is *2 + 1 square, *2 + 2 square, *2 + 3 square, ....
So the answer is 186 * 2 + 5 square = 372 + 25 = 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

5) 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

X < y

X > y

X ≤ y

X ≥ y

X = y or the relationship between x and y cannot be determined

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

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

6) Directions: What should come in place of the question mark (?) in the following questions?36865+12473+21045-44102 = ?

114485

66281

26281

114845

None of these

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.

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.

7) Directions: What should come in place of the question mark (?) in the following questions?√1.5625= ?

125

12.5

1.5

1.25

None of these

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.

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.

8) Directions: What should come in place of the question mark (?) in the following questions?3 * ? + 30 = 0

-15

15

10

-30

None of the above

Correct answer is -10

Explanation

Correct answer is -10

9) 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

X < y

X > y

X ≤ y

X ≥ y

X = y or the relationship between x and y cannot be determined

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.

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.

10) Directions: What should come in place of the question mark (?) in the following questions? (10^3.7 m 10^1.3)² = 10^?

6

7

5

3

None of the above

Correct answer is 10

Explanation

Correct answer is 10

11) In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. 5x² - 18x +9 = 020y² - 13y + 2 = 0

X < y

X > y

X ≤ y

X ≥ y

X = y or the relationship between x and y cannot be determined

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.

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.

12) In the following number series only one number is wrong. Find out the wrong number.9 , 5 , 6 , 10.5 , 23 , 61, 183

183

10.5

61

6

9

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

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

13) In the following number series only one number is wrong. Find out the wrong number.2, 4 , 11 , 37 , 151 , 771 , 4633

11

4633

37

151

4

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

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

14) In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. 225x² -4 = 0√225y +2=0

X < y

X > y

X ≤ y

X ≥ y

X = y or the relationship between x and y cannot be determined

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.

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.

15) In these questions, two equations are given. You have to solve both the equations and mark the appropriate answer. x³ - 878 = 453y² - 82 = 39

X < y

X > y

X ≤ y

X ≥ y

X = y or the relationship between x and y cannot be determined

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.

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.