 # Sample Aptitude Questions of Polaris Software

DIRECTIONS for the question 1 to 5: Solve the following question and mark the best possible option.
1. If x > y
2. If x ≥ y
3. If x < y
4. If x ≤ y
5. If x = y or the relationship between x and y cannot be established
1. I. x2 + 12x + 36 = 0
II. y2 + 15y + 56 = 0
1. 1
2. 2
3. 3
4. 4
x2 + 12x + 36 = 0
Or, (x + 6)2 = 0
Or, (x + 6) = 0
Or, x = - 6
II. y2 + 15y + 56 = 0
Or, y2 + 7y + 8y + 56 = 0
Or, y(y + 7) + 8(y + 7) = 0
Or, (y + 7) (y + 8) = 0
y = - 7, - 8
x > y
1. I. x2 = 35
II. y2 + 13y + 42 = 0
1. 1
2. 2
3. 3
4. 4
I. x2 = 35
∴ x = +- √35
II. y2 + 13y + 42 = 0
Or, y2 + 6y + 7y + 42 = 0
Or, y(y + 6) + 7 (y + 6) = 0
Or, (y + 6) (y + 7) = 0
∴ y = -6, - 7
∴ x > y
2. I. 2x2 – 3x – 35 = 0
II. y2– 7y + 6 = 0
1. 1
2. 2
3. 3
4. 4
I. 2x2 – 3x – 35 = 0
Or, 2x2 – 10x + 7x – 35 = 0
Or, 2x(x – 5) + 7 (x – 5) = 0
Or, (2x + 7) (x – 5) = 0
∴ x = - 7/2 , 5
II. y2 – 7y + 6 = 0
Or, y2 – y – 6y + 6 = 0
Or, y(y – 1) -6 (y – 1)
Or, (y – 1) (y – 6) = 0
∴ y = 1, 6
No relation can be established between x and y.
3. I. 6x2 – 29x + 35 = 0
II. 2y2 - 19y + 35 = 0
1. 1
2. 2
3. 3
4. 4
I. 6x2 – 29x + 35 = 0
Or. 6x2 – 15x – 14x + 35 = 0
Or, 3x(2x – 5) -7(2x – 5) = 0
Or, (3x – 7) (2x – 5) = 0
∴ x = - 7/2 , -5/2
II. 2y2 – 19y + 35 = 0
Or, 2y2 – 14y – 5y + 35 = 0
Or, 2y(y – 7) – 5(y – 7) = 0
Or, (2y – 5) (y – 7) = 0
∴ y = 5/2 , 7
∴ x <= y
4. I. 12x2 – 47x + 40 = 0
II. 4y2 + 3y – 10 = 0
1. 1
2. 2
3. 3
4. 4
I. 12x2 – 47x + 40 = 0
Or, 12x2 – 32x – 15x + 40 = 0
Or, 4x(3x – 8) -5(3x – 8) = 0
Or, (4x – 5) (3x – 8) = 0
∴ x = 5/4 , 8/3
II. 4y2 + 3y – 10 = 0
Or, 4y2 + 8y – 5y – 10 = 0
Or, 4y(y + 2) -5(y + 2) = 0
Or, (4y - 5) (y + 2) = 0
∴ x = 5/4 , -2
∴ x >= y
DIRECTIONS for the question 6 to 10: Solve the following question approximately and mark the best possible answer. You are not expected to find the exact value.
5. 39% of 129 - 43% of 97 = ?
1. 14
2. 15
3. 17
4. 9
129×39/100 = 50.3
97×43/100 = 41.7
? = 50.3-41.7 ≈ 9
6. 84.99 × 18.98 ÷ 7.2 + 62.7 = ?
1. 390
2. 340
3. 287
4. 240
? = 85×19 ÷ 7.2 + 62.7
= 85 × 2.64 + 62.7
= 224.3 + 62.7 = 287
7. Find the value of Square root of ( √36.1 + √28.9 ).
1. 3.4
2. 4.2
3. 4.5
4. 2.8
√36.1 = 6
√28.9 = 5.4
6 + 5.4 = 11.4
√11.4 = 3.4
8. 56.5% of 286 + 45.8% of 435 = ?
1. 85
2. 75
3. 361
4. 125