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Test: Ratio And Proportion, Indices, Logarithms - 4 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Ratio And Proportion, Indices, Logarithms - 4

Test: Ratio And Proportion, Indices, Logarithms - 4 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Ratio And Proportion, Indices, Logarithms - 4 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Ratio And Proportion, Indices, Logarithms - 4 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Ratio And Proportion, Indices, Logarithms - 4 below.
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Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 1

If x:y =2:3, y:z=4:3 then x:y : y:z is

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 2

If p/q =r/s=2.5/1.5, the value of ps:qr is

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Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 3

 The number which has the same ratio to 26 that 6 has to 13 is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 4

If (5x-3y)/(5y-3x) =3/4 , the value of x:y is

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 5

The mean proportional between 12x2 and 27y2 is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 6

If x:y=z:w=2.5/1.5, the value of (x+z)/(y+w) is 0

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 7

The mean proportional between 25,81 is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 8

The fourth proportional to 4,6,8 is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 9

If A:B=3:2 and B:C=3:5, then A:B:C is

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 10

If a/3=b/4=c/7, then a+b+c/c is 

Detailed Solution for Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 10

a/ 3 = b/ 4 = c/7

a/c = 3/ 7 ; b/ c = 4/7

(a+b+c) / c ⇒ a/ c+ b/ c + 1

⇒ 3/7 + 4/7+ 1 

⇒ 1 + 1

⇒ 2 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 11

Division of Rs. 750 into 3 parts in the ratio 4:5:6 is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 12

If A = B/2 = C/5, then A:B:C is

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 13

The third proportional to 12,18 is 

Detailed Solution for Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 13

Let the third proportion be x

12 : 18 = 18 : x

x = 18*(18/12)

x = 18*(3/2)

x = 54/2

x = 27

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 14

In a library, the ratio of number of story books to that of non-story books was 4:3 and total number of story books was 1248. When some more story books were bought, the ratio became 5:3. Find the number of story books bought. 

Detailed Solution for Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 14

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 15

If x/y=z/w, implies y/x=w/z, then the process is called 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 16

 If u/v=w/p, then (u-v)/(u+v)=(w-p)/(w+p). The process is called

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 17

What is the fourth proportional to the numbers 2, 5, 8.​

Detailed Solution for Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 17

Let the fourth proportion be x

⇒ 2 , 5 , 8 , x are in proportion

∴ 2 : 5 = 8 : x

∴ 2×x = 5×8 (∵Product of extremes = Product of means)

∴ 2x = 40

x = 20

Hence the fourth proportion is 20.

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 18

If p/q=r/s=p-r/q-s, the process is called 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 19

The sum of the ages of 3 persons is 150 years. 10 years ago their ages were in the ratio 7:8:9. Their present ages are 

Detailed Solution for Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 19

GIVEN

The sum of the ages of 3 persons is 150 years. 10 years ago their ages were in the ratio 7:8:9.

TO FIND

Their Present ages

SOLUTION

Let the ages of the person 10 yrs ago be 7x, 8x, 9x according to the question.

Present ages will be 7x + 108x+10 and 9x + 10

Now according to the Question,

(7x + 10) + (8x + 10) + (9x + 10) = 150

=> 24x + 30 = 150

=> 24x = 150 - 30

=> 24x = 120

=> x = 5

Therefore Present ages are

7x + 10 = 45yrs

8x+10 = 50yrs

9x + 10 = 55yrs

Hence their Present Ages are 45,50 and 55yrs. (ANS)

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 20

Two numbers are in the ratio 3:4; if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the numbers are 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 21

 If a/b=c/d, implies (a+b)/(a-b) = (c+d)/(c-d), the process is called

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 22

12, 16, *, 20 are in proportion. Then* is 

Detailed Solution for Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 22
  • To find the missing number (*), we use the property of proportions: a/b = c/d.
  • Here, we have 12/16 = */20.
  • Cross-multiply to solve: 12 * 20 = 16 * *.
  • This simplifies to 240 = 16 *.
  • Now, divide both sides by 16: * = 240 / 16.
  • Calculating gives * = 15.
  • Thus, the correct answer is 15.
Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 23

The numbers 14, 16, 35, 42 are not in proportion. The fourth term for which they will be in proportion is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 24

4x-1/4 is expressed as

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 25

Xa-b x Xb-c x Xc-a is equal to 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 26

The value of 2(256)-1/8 is

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 27

Which is True?

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 28

The value of 4/(32)1/5 is 

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 29

 If x1/p = y 1/q = z1/r and xyz =1 , then the value of p+q+r is

Test: Ratio And Proportion, Indices, Logarithms - 4 - Question 30

 The value of (8/27)1/3 is 

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