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Q:

A root of equation ${ax}^{2} + bx + c = 0$ (where a, b and c are rational numbers) is 5 + 3√3. What is the value of $(a^{2} + b^{2} + c^{2}) / (a + b + c)$ ?

A) 35/3	B) 37/3
C) – 105/11	D) – 105/13

Answer & Explanation Answer: C) – 105/11

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If x = (√5) + 1 and y = (√5) – 1, then what is the value of $(x^{2} / y^{2}) + (y^{2} / x^{2}) + 4 [(x / y) + (y / x)] + 6$ ?

A) 31	B) 23√5
C) 27√5	D) 25

Answer & Explanation Answer: D) 25

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the following statement(s) is/are true?

$I . {(65)}^{1 / 6} > {(17)}^{1 / 4} > {(12)}^{1 / 3} II . {(17)}^{1 / 4} > {(65)}^{1 / 6} > {(12)}^{1 / 3} III . {(12)}^{1 / 3} > {(17)}^{1 / 4} > {(65)}^{1 / 6}$

A) Only I	B) Only III
C) Only II	D) None of these

Answer & Explanation Answer: B) Only III

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?

A) 11	B) 8
C) 6	D) 7

Answer & Explanation Answer: D) 7

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

If 56 × 75 × 60 × 84 × 210 = $2^{p} \times 3^{q} \times 5^{r} \times 7^{s}$ , then what is the value of [(p + q)/s] + r?

A) 6	B) 8
C) 12	D) 10

Answer & Explanation Answer: B) 8

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If N = 0.369369369369... and M = 0.531531531531..., then what is the value of (1/N) + (1/M)?

A) 11100/2419	B) 111/100
C) 1897/3162	D) 2419/11100

Answer & Explanation Answer: A) 11100/2419

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

Can You Guess The Missing Numbers In The Given Math Puzzle?

A)	B)
C)	D)

Answer & Explanation Answer: A)

Explanation:

Let the missing numbers be x, y, a and b

x + y = 8 ---- (1)
a - b = 6 ---- (2)
x + a = 13 --- (3)
y + b = 8 ---- (4)

2x + a + y = 21 --- From (1 & 3)
a + y = 14 ---- From (2 & 4)

Substitute (2 & 4) in (1 & 3)

2x + 14 = 21
2x = 7
x = 3.5

From (1) ---> 3.5 + y = 8
=> y = 8 - 3.5 = 4.5

a + y = 14 => a = 14 - y = 14 - 4.5 => a = 9.5
From (4) ---- y + b = 8 => b = 8 - y = 8 - 4.5 = 3.5

Hence,
x = 3.5
y = 4.5
a = 9.5
b = 3.5

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Filed Under: Math Puzzles
Exam Prep: CAT , Bank Exams

Q:

Refer the below data table and answer the following question.

Five points are to be deducted from the students average of marks scored because of poor attendance. What will be the students net average marks scored?

A) 39	B) 34
C) 29	D) 44

Answer & Explanation Answer: A) 39

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Filed Under: Table Charts
Exam Prep: Bank Exams

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