Aptitude and Reasoning Questions

Q:

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

A) 35/3 B) 37/3
C) – 105/11 D) – 105/13
 
Answer & Explanation Answer: C) – 105/11

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Q:

If the roots of the equation a(b  c)x2 + b(c  a)x + c(a  b) = 0 are equal, then which of the following is true?

A) b = ( a + c)/ ac B) 2/ b = (1/ a) + (1/ c)
C) 2 b = (1/ a) + (1/ c) D) abc = ab + bc + ca
 
Answer & Explanation Answer: B) 2/ b = (1/ a) + (1/ c)

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Q:

Find the value of 6813+6413314

A) 5 B) 6
C) 36 D) 216
 
Answer & Explanation Answer: B) 6

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Q:

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

A) 1 B) -1
C) 2 D) -2
 
Answer & Explanation Answer: A) 1

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Q:

If a mirror is placed on the line MN, which is the right image of the given figure?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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Q:

ax + 3y = 6 has slope -2/3. What is the value of a?

A) -2 B) 2
C) 3 D) -3
 
Answer & Explanation Answer: B) 2

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Q:

Three words in bold letters are given in each question, which have something in common among themselves. Out of the four given alternatives, choose the most appropriate description about these three words.

Baruni: Digboi: Ankleshwar

A) They are famous for oil fields. B) They are famous religious places.
C) They are tourist places of South India. D) They are famous for handlooms.
 
Answer & Explanation Answer: A) They are famous for oil fields.

Explanation:

They are famous for oil fields.

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Q:

If y=2-x1+x, then what is the value of 1y+1 + 2y+1y2-1 ?

A) (1+x)(2-x)2x-1 B) (1-x)(2+x)x-1
C) (1+x)(2-x)1-2x D) (1+x)(1-2x)2-x
 
Answer & Explanation Answer: C) (1+x)(2-x)1-2x

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