Q:

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

A) (4√86)/3 B) (2√86)/3
C) (5√86)/3 D) (5√86)/2
 
Answer & Explanation Answer: A) (4√86)/3

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Filed Under: Area
Exam Prep: Bank Exams

3 1842
Q:

In the given figure,PQ = PS = SR and QPS = 40 deg, then what is the value of QPR (in deg) ?

A) 45 B) 60
C) 75 D) 50
 
Answer & Explanation Answer: C) 75

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 1622
Q:

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

A) 1/2 B) 5/12
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/12

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Filed Under: Simplification
Exam Prep: Bank Exams

2 2700
Q:

If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?

A) 18 B) – 9
C) – 27 D) – 18
 
Answer & Explanation Answer: B) – 9

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1362
Q:

If [(a2 + b2  + ab)] + [(a2 + b2  ab)] = 1, then what is the value of (1  a2 )(1  b2 )?

A) 1/4 B) 4/7
C) 5/4 D) 3/4
 
Answer & Explanation Answer: D) 3/4

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Filed Under: Simplification
Exam Prep: Bank Exams

0 933
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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Filed Under: Simplification
Exam Prep: Bank Exams

1 982
Q:

If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?

A) – 3 B) – 6
C) – 1 D) – 9
 
Answer & Explanation Answer: A) – 3

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Filed Under: Simplification
Exam Prep: Bank Exams

3 1624
Q:

If a + a2 + a3  1 = 0, then what is the value of a3 + (1/a)?

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

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1 1198