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Q:

$I f l o g_{a} (a b) = x, t h e n l o g_{b} (a b) = ?$

A) 1/x	B) x/(x+1)
C) x/(1-x)	D) x/(x-1)

Answer & Explanation Answer: D) x/(x-1)

Explanation:

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Filed Under: Logarithms

Q:

The value of $[\frac{1}{3} l o g_{10} (125) - 2 l o g_{10} (4) + l o g_{10} (32)] :$

A) 0	B) 1
C) 2	D) 4/5

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

The value of $(l o g_{5} (5)) (l o g_{4} (9)) (l o g_{3} (2)) i s :$

A) 1	B) 3/2
C) 2	D) 5

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Logarithms

Q:

If $l o g_{\sqrt{8}} (x) = 3 \frac{1}{3} t h e n f i n d t h e v a l u e o f x ?$

A) 25	B) 32
C) 37	D) None of these

Answer & Explanation Answer: B) 32

Explanation:

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Filed Under: Logarithms

Q:

$T h e v a l u e o f l o g_{2} (l o g_{5} (625)) i s :$

A) 2	B) 5
C) 10	D) 15

Answer & Explanation Answer: A) 2

Explanation:

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Filed Under: Logarithms
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

Q:

The value of $l o g_{343} (7) i s :$

A) 1/3	B) -3
C) -1/3	D) 3

Answer & Explanation Answer: A) 1/3

Explanation:

$\log_{343} (7) \log_{7^{3}} (7) \frac{1}{3} \log_{7} (7) W e k n o w t h a t l o g_{x} (x) = 1 = > \frac{1}{3}$

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

Q:

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A) 400 kg	B) 560 kg
C) 600 kg	D) 640 kg

Answer & Explanation Answer: C) 600 kg

Explanation:

By the rule of alligation:

Profit of first part Profit of second part

So, ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.

Therefore, Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.

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Filed Under: Alligation or Mixture

Q:

Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

A) Rs. 169.50	B) Rs.1700
C) Rs. 175.50	D) Rs. 180

Answer & Explanation Answer: C) Rs. 175.50

Explanation:

Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135)/2= Rs.130.50

So, Now the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find 'x'.

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