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Q:

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to ___ ?

A) 3.7	B) 2.7
C) 3.6	D) 2.9

Answer & Explanation Answer: D) 2.9

Explanation:

x^z = y² 10^(0.48z) = 10^{(2 x 0.70)} = 10^1.40

0.48z = 1.40

z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
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Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13!	B) 15 × 14 × 14!
C) 14 × 12 × 12!	D) 15 × 13 × 13!

Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
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Q:

What is the value of P in the following Equation ?

$19^{2.5} \times 19^{p} = 19^{7}$

A) 3.9	B) 4.1
C) 3.7	D) 4.5

Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is

$19^{2.5} \times 19^{p} = 19^{7}$

Here it is in the form of $a^{m} \times a^{n} = a^{m + n}$

Here m = 2.5 , n = p, m+n = 7

=> 2.5 + p = 7

=> p = 7 - 2.5

=> p = 4.5

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Filed Under: Mathematical Operations
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Q:

What should come in place of x in the following equation?

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

A) 13	B) 12
C) 17	D) 16

Answer & Explanation Answer: B) 12

Explanation:

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

Then x² = $\sqrt{162} x \sqrt{128}$

= Sqrt of 8² x 6² x 3²

= 8 x 6 x 3

x² = 144.

x = 12.

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Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

Crack the Logical Password of the Mobile ?

logical_password1510123219.jpg image

Answer

65292

1st digit is 3 x 2 = 6

3rd digit is 5-3 = 2

4th digit is 5+4 = 9

6+5 = 2+9 = 9+2 = 11

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

A) u = 1, v = 0	B) u = 1, v = 3/2
C) u = 0, v = 3/4	D) u = 0, v = 1

Answer & Explanation Answer: B) u = 1, v = 3/2

Explanation:

Using Trial and error method,

From the options u = 1, v = 3/2 satisfies both the equations.

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Filed Under: Mathematical Operations
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Q:

Crack the Missing Letter Puzzle?

s1509602308.jpg image

A) I	B) K
C) L	D) W

Answer & Explanation Answer: C) L

Explanation:

13 x 2 = 26 => Z (opposite side)

12 x 2 = 24 => X (opposite side)

13 x 1 = 13 => M (opposite side)

12 x 1 = 12 => L (opposite side)

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Filed Under: Missing letters puzzles
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Q:

If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ?

A) -23	B) 27
C) 16	D) -19

Answer & Explanation Answer: D) -19

Explanation:

HCF of 210 and 55 is 5

Now, 210x5 + 55P = 5

=> 1050 + 55P = 5

=> 55P = -1045

=> P = -1045/55

=> P = -19.

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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