Home Quantitative Aptitude ca foundation mock test-ratio and proportion

ca foundation mock test-ratio and proportion

ca foundation mock test in ratio and proportion of Business Mathematics

ratio and proportion questions

Subject :- Quantitative Aptitude

Chapter :- Ratio and Proportion,Indices and Logarithm-Test 2

Questions :- 25

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Question 1 of 25

1. Question
1 points
The integral part of a logarithm is called___ and the decimal part of a logarithm is called____
- mantissa,characteristic
- characteristic ,mantissa
- whole,decimal
- none of these
Correct

The integral part of a logarithm is called characteristic and the decimal part of a logarithm is called mantissa

Incorrect

The integral part of a logarithm is called characteristic and the decimal part of a logarithm is called mantissa
Question 2 of 25

2. Question
1 points
X,Y,Z together start a business.if X invests 3 times as much as Y invests and Y invests 2/3rd of what Z invests,then the ratio of X,Y,Z is
- 3:9:2
- 6:3:2
- 3:6:2
- 6:2:3
Correct

given,X=3Y and Y=2/3*Z

X/Y=3/1 and Y/Z=2/3

X:Y=3:1 and Y:Z=2:3

=3*2:1*2=6:2

X:Y:Z=6:2:3

Incorrect

given,X=3Y and Y=2/3*Z

X/Y=3/1 and Y/Z=2/3

X:Y=3:1 and Y:Z=2:3

=3*2:1*2=6:2

X:Y:Z=6:2:3
Question 3 of 25

3. Question
1 points
if log 2 = 0.3010 and log 3 =0.4771,then the value of log 24 is
- 1.0791
- 1.7323
- 1.3801
- 1.8301
Correct

log 24=log(2x2x2x3)

=log2+log2+log2+log3

=3 x 0.3010 + 0.4771

=0.9030+0.4771 = 1.3801

Incorrect

log 24=log(2x2x2x3)

=log2+log2+log2+log3

=3 x 0.3010 + 0.4771

=0.9030+0.4771 = 1.3801
Question 4 of 25

4. Question
1 points
There are 23 coins of Rs 1, Rs 2 and Rs 5 in a bag.if their value is Rs 43 the ratio of coins of Rs 1 and Rs 2 is 3:2.then the number of coins of Rs 1 is
- 12
- 5
- 10
- 14
Correct

total no of coins = 23

Rs 1 :Rs 2 =3:2

let no of Rs1 =3x

no of Rs2 =2x

no of Rs5 23-3x-2x=23-5x

total value of all coins is 43

3x*1+2x*2+(23-5x)5=43

3x+4x+115-25x=42

-18x=43-115

-18x=-72

x=72/18=4

no of Rs 1 coins=3x=3*4=12

Incorrect

total no of coins = 23

Rs 1 :Rs 2 =3:2

let no of Rs1 =3x

no of Rs2 =2x

no of Rs5 23-3x-2x=23-5x

total value of all coins is 43

3x*1+2x*2+(23-5x)5=43

3x+4x+115-25x=42

-18x=43-115

-18x=-72

x=72/18=4

no of Rs 1 coins=3x=3*4=12
Question 5 of 25

5. Question
1 points
If a:b=2:3,b:c=4:5 and c:d=6:7,then a:d is
- 24:35
- 8:15
- 16:35
- 7:15
Correct

a:b=2:3=a/b=2/3………(i)

b:c=4:5=b/c=4/5……….(ii)

c:d=6:7=c/d=6/7……….(iii)

multiply equation i,ii and iii

a/b*b/c*c/d=2/3*4/5*6/7=16/35

Incorrect

a:b=2:3=a/b=2/3………(i)

b:c=4:5=b/c=4/5……….(ii)

c:d=6:7=c/d=6/7……….(iii)

multiply equation i,ii and iii

a/b*b/c*c/d=2/3*4/5*6/7=16/35
Question 6 of 25

6. Question
1 points
The ratio compounded of 4:5 and sub-duplicate of a:9 is 8:15.then value of ‘a’ is
- 2
- 3
- 4
- 5
Correct

Incorrect
Question 7 of 25

7. Question
1 points
$i f \log_{2} (x) + \log_{4} (x) = 6, t h e n t h e v a l u e o f x i s$
- 16
- 32
- 64
- 128
Correct

Incorrect
Question 8 of 25

8. Question
1 points
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
- 3
- 9
- 1/3
- 1/9
Correct

Incorrect
Question 9 of 25

9. Question
1 points
find 2 numbers such that the mean proportional between them is 18 and 3rd proportional between them is 144
- 9,36
- 8,32
- 7,28
- 6,24
Correct

Incorrect
Question 10 of 25

10. Question
1 points
in a film shooting , A and B received money in a certain ratio , B and C also received the money in the same ratio.if A gets rs 160000 and C gets rs 250000.find the amount received by B?
- rs 200000
- rs 250000
- es 100000
- rs 150000
Correct

Incorrect
Question 11 of 25

11. Question
1 points
The mean proportional between 24 and 54 is
- 33
- 34
- 35
- 36
Correct

$m e a n p r o p o r t i o n a l = \sqrt{24 \times 54} = \sqrt{1296} = 36$

Incorrect

$m e a n p r o p o r t i o n a l = \sqrt{24 \times 54} = \sqrt{1296} = 36$
Question 12 of 25

12. Question
1 points
The triplicate ratio of 4:5 is
- 25:64
- 116:25
- 64:125
- 120:46
Correct

$T r i p l i c a t e r a t i o o f 4 : 5 = 4^{3} : 5^{3} = 64 : 125$

Incorrect

$T r i p l i c a t e r a t i o o f 4 : 5 = 4^{3} : 5^{3} = 64 : 125$
Question 13 of 25

13. Question
1 points
Find the three numbers in the ratio 1:2:3,to that the sum of their squares is equal to 504
- 6,12,18
- 8,6,9
- 14,8,12
- 6,10,15
Correct

Incorrect
Question 14 of 25

14. Question
1 points
$T h e v a l u e o f \log_{4} (9) . \log_{3} (2) i s$
- 8
- 9
- 2
- 1
Correct

$\log_{4} (9) . \log_{3} (2) = \frac{\log 9}{\log 4} . \frac{\log 2}{\log 3} = \frac{\log 3^{2}}{\log 2^{2}} . \frac{\log 2}{\log 3} = \frac{2 \log 3}{2 \log 2} . \frac{\log 2}{\log 3} = 1$

Incorrect

$\log_{4} (9) . \log_{3} (2) = \frac{\log 9}{\log 4} . \frac{\log 2}{\log 3} = \frac{\log 3^{2}}{\log 2^{2}} . \frac{\log 2}{\log 3} = \frac{2 \log 3}{2 \log 2} . \frac{\log 2}{\log 3} = 1$
Question 15 of 25

15. Question
1 points
$T h e v a l u e o f (\log_{y} (x) . \log_{z} (y) . \log_{x} (z))^{3} i s$
- 0
- 2
- 1
- 3
Correct

$(\log_{y} (x) . \log_{z} (y) . \log_{x} (z))^{3} = [\frac{\log x}{\log y} . \frac{\log y}{\log z} . \frac{\log z}{\log x}]^{3} = 1^{3} = 1$

Incorrect

$(\log_{y} (x) . \log_{z} (y) . \log_{x} (z))^{3} = [\frac{\log x}{\log y} . \frac{\log y}{\log z} . \frac{\log z}{\log x}]^{3} = 1^{3} = 1$
Question 16 of 25

16. Question
1 points
Divided 80 into two parts so that their product is maximum,then the numbers are
- 25,55
- 35,45
- 40,40
- 15,65
Correct

Incorrect
Question 17 of 25

17. Question
1 points
If x:y=2:3,then (5x+2y):(3x-y)=_____
- 19:3
- 16:3
- 7:2
- 7:3
Correct

given,x:y=2:3

let x=2k,y=3k

(5x+2y):(3x-y)=5x+2y/3x-y

=5*2k+2*3k/3*2k-3k

=10k+6k/6k-3k

=16k/3k=16:3

Incorrect

given,x:y=2:3

let x=2k,y=3k

(5x+2y):(3x-y)=5x+2y/3x-y

=5*2k+2*3k/3*2k-3k

=10k+6k/6k-3k

=16k/3k=16:3
Question 18 of 25

18. Question
1 points
if the salary of P is 25% lower than that of Q and the salary of R is 20% higher than that of Q , the ratio of the salary of R and P will be
- 5:8
- 8:5
- 5:3
- 3:5
Correct

let salary of Q = 100

salary of P = 100-25% = 75

salary of R = 100 + 20% = 120

ratio of salary R and P are 120:75=8:5

Incorrect

let salary of Q = 100

salary of P = 100-25% = 75

salary of R = 100 + 20% = 120

ratio of salary R and P are 120:75=8:5
Question 19 of 25

19. Question
1 points
A person has assets worth rs 148200. he wishes to divide if among his wife , son and daughter in the ratio 3:2:1. from this assets , the share of his son will be
- rs 24700
- 49400
- 74100
- 37050
Correct

persons assets worth =rs 148200

wife:son:daughter=3:2:1

sum of ratio =3+2+1=6

share of son = 2/6 x 148200 =49400

Incorrect

persons assets worth =rs 148200

wife:son:daughter=3:2:1

sum of ratio =3+2+1=6

share of son = 2/6 x 148200 =49400
Question 20 of 25

20. Question
1 points
for 3 months , the salary of a person are in the ratio 2:4:5.if the difference between the product of salaries of the 1st 2 months and last 2 months is rs 48000000, then the salary of the person for the 2nd month will be
- rs 4000
- rs 6000
- rs 8000
- rs 12000
Correct

Incorrect
Question 21 of 25

21. Question
1 points
A dealer mixes rice costing rs 13.85 per kg with rice costing rs 15.54 and sell the mixture at rs 17.60 per kg. so , he earned a profit of 14.6% on his sale price. the proportion in which he mixes the two qualities of rice is
- 3:7
- 5:7
- 7:9
- 9:11
Correct

Incorrect
Question 22 of 25

22. Question
1 points
the ratios of 3rd proportion of 12, 30 to the mean proportion of 9,25 is
- 2:1
- 5:1
- 7:5
- 3:s
Correct

Incorrect
Question 23 of 25

23. Question
1 points
what number must be added to each of the numbers 10,18,22,38 to make the number is proportion?
- 2
- 4
- 8
- none
Correct

Incorrect
Question 24 of 25

24. Question
1 points
7log(16/15)+5log(25/24)+3log(81/80)=
- 0
- 1
- log2
- log3
Correct

Incorrect
Question 25 of 25

25. Question
1 points
if log(a+b/4)=1/2(loga+logb) then a/b+b/a=
- 12
- 14
- 16
- 8
Correct

Incorrect

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