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This mock test of Ratio And Proportion, Indices And Logarithm for helps you for every entrance exam.
This contains 70 Multiple Choice Questions for Ratio And Proportion, Indices And Logarithm (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Two numbers are in the ratio 2 : 3 and the difference of their squares is 320. The numbers are :** [2006-November]**

Solution:

QUESTION: 2

If p : q is the sub-duplicate ratio of p - x^{2}: q - x^{2}, then x^{2} is: **[2006-November]**

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QUESTION: 3

An alloy is to contain copper and zinc in the ratio 9 : 4. The zinc required to melt with 24 kg of copper is: **[2006-November]**

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QUESTION: 4

7 log16/5 + 5 log25/24 + 3 log81/80 is equal to: **[2006-November]**

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QUESTION: 5

Two numbers are in the ratio 7:8- If 3 is added to each of Them, their ratio becomes 8 : 9. The numbers are: **[2007 - February]**

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QUESTION: 6

A box contains Rs.56 In the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coin is double the number of 25 paise coins and four times the numbers of one rupee coins. The numbers of 50 paise coins in the box is: **[2007 - February]**

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QUESTION: 7

Value of (a^{1/8} + a^{-1/8} ) (a^{1/8} - a^{-1/8} ) (a^{1/4} + a^{-1/4} ) (a^{1/2} + a^{-1/2} ) is: ** [2007 - February]**

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QUESTION: 8

The value of the expression: **[2007 - February]**

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QUESTION: 9

If log_{1000} � = -1/4 then x is given by: **[2007 - February]**

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QUESTION: 10

Eight people are planning to shareequally the cost of a rental car. If one person withdraws from thearrangement and the others shareequally entire cost of the car, then the share of each of the remaining persons increased by: **[2007- May]**

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QUESTION: 11

A bag contains Rs.187 in the form of 1 rupee, 50 paise and 1 paise coins in the ratio 3:4:5 Find the number of each type of coins : **[2007- May]**

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QUESTION: 12

Simplification of is **[2007- May]**

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QUESTION: 13

If log (2a – 3b) = log a - log b, then a = : **[2007- May]**

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QUESTION: 14

On simplification reduces to : ** [2007 - August]**

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QUESTION: 15

Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of A increase by 25% the new ratio of their earning becomes 8 : 7 What is A’s earning ? **[2007 - August]**

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QUESTION: 16

P,Q and R are three cities. The ratio of average temperature between P and Q is 11 : 12 and that between P and R is 9 : 8. The ratio between the average temperatureof Q and R is : **[2007 - August]**

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QUESTION: 17

** ** is equal to : **[2007 - August]**

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QUESTION: 18

Number of digits in the numeral for 2^{64} . [Given log 2 = 0.30103] : **[2007 - August]**

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QUESTION: 19

Rs.407 are to be divided among A, Band C so that their shares are in the ratio . The respective shares of A, B, C are : **[2007 - November]**

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QUESTION: 20

The incomes of A and B are in theratio 3 : 2 and their expenditures inthe ratio 5:3. If each saves Rs.1,500.ThenB’s income is : **[2007 - November]**

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QUESTION: 21

If 4^{x} = 5^{y} = 20^{z} then z is equal to : **[2007 - November]**

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QUESTION: 22

� 9 is equal to **[2007 - November]**

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QUESTION: 23

The value is **[2007 - November]**

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QUESTION: 24

In 40 litres mixture of glycerine and water, the ratio ofglycerine and water is 3:1 The quantity of water added in the mixture in order to make this ratio 2:1 is : ** [2008 - February]**

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QUESTION: 25

The third proportional between (a^{2} - b^{2}) and (a + b)^{2} is : **[2008 - February]**

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QUESTION: 26

If 2^{x} - 2^{x-1} = 4 then x^{x} is equal to : ** [2008 - February]**

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QUESTION: 27

**If ** ** **then the value of n is : **[2008 - February]**

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QUESTION: 28

log144 is equal to : **[2008 - February]**

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QUESTION: 29

In what ratio should tea worth Rs.10 per kg be mixed with tea worth Rs.14per kg, so that the average price ofthe mixture may be Rs.11 per Kg? **[2008 -June]**

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QUESTION: 30

The ages of two persons are in theratio 5:7. Eighteen years ago theirages were in the ratio of 8:13, their present ages (in years) are : **[2008 -June]**

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QUESTION: 31

If x = y^{a} , y = z^{b} and z = x^{c} then abc is: **[2008 -June]**

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QUESTION: 32

If log_{2}[log_{3}(log_{2}x)] then x equals : **[2008 -June]**

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QUESTION: 33

If log (a+b)/4 = 1/2 (log a + log b) then : ** [2008- December]**

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QUESTION: 34

If A, B and C started a business by investingRs.1,26,000, Rs.84,000 and Rs.2,10,000. If at the end of the year profit is Rs.2,42,000 then the share of each is: ** [2008- December]**

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QUESTION: 35

If p/q = -2/3 then the value of (2p+q)/(2p-q) is : ** [2009-June]**

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QUESTION: 36

Fourth proportional to x, 2x, (x+1) is: ** [2009-June]**

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QUESTION: 37

If x = 3^{1/3} + 3^{-1/3} then found the value of 3x^{3} - 9x **[2009-June]**

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QUESTION: 38

Find the value of : [1- {1-(1- x^{2})^{1/2}}^{-1/2}] **[2009-June]**

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QUESTION: 39

log (m + n) = log m + log n, m can be expressed as: **[2009-June]**

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QUESTION: 40

log_{4}(x^{2} + x) - log_{4}(x+1) = 2.Find x **[2009-June]**

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QUESTION: 41

** [2009 - December]**

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QUESTION: 42

If 2^{x} × 3^{y} × 5^{z} = 360 Then what is the value of x, y, z? **[2009 - December]**

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QUESTION: 43

Find the value of **[2009 - December]**

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QUESTION: 44

If 2^{x} - 2^{x-1} = 4 then x^{x} is equal to : **[2009 - December]**

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QUESTION: 45

If log_{a} b + log_{a} c_{ }= 0 then **[2009 - December]**

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QUESTION: 46

What must be added to each term of the ratio 49 : 68, so that it becomes 3:4? **[2009 - December]**

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QUESTION: 47

The students of two classes are In the ratio 5 : 7, if 10 students left from each class, the remaining students are in the ratio of 4 : 6 then the number of students in each class is: **[2009 - December]**

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QUESTION: 48

The value of will be : ** [2010 – December]**

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QUESTION: 49

The recurring decimal 2.7777……. can be expressed as ** [2010 – December]**

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QUESTION: 50

Solve : ** [2010 – December]**

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QUESTION: 51

If A:B= 2:5, then (10A+3B) : (5A+2B) is equal to ** [2010 – December]**

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QUESTION: 52

If n = m! where (‘m’ is a positive integer> 2) then the value of :

** [2011 – June]**

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QUESTION: 53

In a film shooting, A and B received money in a certain ratio and B and C also received the money in the same ratio. If A gets Rs.1,60,000 and C gets Rs.2,50,000 Find the amount received by B ? **[2011 – June]**

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QUESTION: 54

The ratio Compounded of 4:5 and sub-duplicate of “a”:9 is 8:15. Then Value of “a” is ** [2011 – December]**

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QUESTION: 55

If log_{2}x + log_{4}x = 6, then the Value of x is **[2011 – December]**

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QUESTION: 56

If X Varies inversely as square of Y and given that Y =2 for X =1, then the Value of x for Y =6 will be **[2011 – December]**

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QUESTION: 57

The value of is equal to **[2012 – June]**

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QUESTION: 58

If log y= 100 and log_{2}x = 10, then the value of ‘y’ is: **[2012 – June]**

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QUESTION: 59

Which of the numbers are not in proportion ? **[2012 – June]**

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QUESTION: 60

Find the value of x, if x (x)^{1/3} = (x^{1/3})^{x} ** [2012 – December]**

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QUESTION: 61

Which of the foll owing is true.

If **[2012 – December]**

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QUESTION: 62

Find two numbers such that mean proportional between them is 18 and third proportional between them is 144 **[2012 – December]**

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QUESTION: 63

For what value of x, the equation is true? ** [2013 – June]**

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QUESTION: 64

The mean proportional between 24 and 54 is: ** [2013 – June]**

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QUESTION: 65

The triplicate ratio of 4 : 5 is: ** [2013 – June]**

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QUESTION: 66

If , then the value of ** [2013 – December]**

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QUESTION: 67

Find three numbers in the ratio 1 : 2 :3, so thatthe sum of their squares is equal to 504 ** [2013 – December]**

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QUESTION: 68

The value of log_{4}9 . log_{3}2 is ** [2013 – December]**

Solution:

QUESTION: 69

The value of (log_{y}x . log_{z}y . log_{x}z)^{3} is ** [2013 – December]**

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QUESTION: 70

Divide 80 into two parts 50 that their product is maximum, then the numbers are ** [2013 – December]**