Quantitative Aptitude Test 14

Quantitative Aptitude

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1. The length of a room is 3 metres more than its breadth. If the area of the floor of the room is 154 m2, then the length of the room is equal to:

 
 
 
 

2. If Ax3 + 31x2 – Bx – 10 is exactly divisible by 2x2 + 9x – 5, then the values of A and B, respectively, are:

 
 
 
 

3. H.C.F. of two polynomials is a + 5 and their L.C.M. is (a + 5) (a + 4) (a – 1). If one of the polynomial is a2 + 4a – 5, then the other polynomial is:

 
 
 
 

4. If a2 = (b + c), b2 = (c + a), c2 = (a + b); then the value of 1/(a+1) + 1/(b+1) + 1/(c+1) is equal to:

 
 
 
 

5. The sum and the difference of two expressions is 5x2 – x – 4 and x2 + 9x – 10, respectively, then their L.C.M. would be equal to:

 
 
 
 

6. The system of equations x + 2y = 3 and 2x + 4y = 3, has:

 
 
 
 

7. A certain two-digit number is equal to five times the sum of its digits. If nine were added to the number, its digits would be reversed. The sum of the digits of the number is:

 
 
 
 

8. If p and q are real numbers; p ¹ 0, then the equation 3x – 5 + q = px + 1 has no solution, if:

 
 
 
 

9. If ab + bc + ca = 0, then
a2/(a2-bc) + b2/(b2-ab) + c2/(c2-ab) is equal to:

 
 
 
 

10. The sum of two numbers added to the sum of their squares is 42. If the product of the number is 15, then the numbers are:

 
 
 
 

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