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- Question
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?
Options- A. 8:3
- B. 6:7
- C. 7:5
- D. 11:7
- Correct Answer
- 7:5
ExplanationMilk in 1-litre mixture of A = 4/7 litre.
Milk in 1-litre mixture of B = 2/5 litre.
Milk in 1-litre mixture of C = 1/2 litre.
By rule of alligation we have required ratio X:Y
X : Y
4/7 2/5
\ /
(Mean ratio)
(1/2)/ \
(1/2 ? 2/5) : (4/7 ? 1/2)
1/10 1/1 4
So Required ratio = X : Y = 1/10 : 1/14 = 7:5
- 1. from 2008 to 2009, the sales of a book decreased by 80%. If the sales in 2010 was the same as in 2008, by what per cent did it increase from 2009 to 2010?
Options- A. 80%
- B. 100%
- C. 120%
- D. 400% Discuss
- 2. Last year, there were 610 boys in a school. The number decreased by 20% this year. How many girl are there in the school, if the number of boys in the school this year?
Options- A. 854
- B. 848
- C. 798
- D. 782 Discuss
- 3. Bina's monthly income is 90% of Anita's monthly income. The total of both their monthly income is Mr. Sen's monthly income. Mr. Sen's annul income is ? 775200. What is Bina's monthly income?
Options- A. ? 34000
- B. ? 36000
- C. ? 30600
- D. ? 30000 Discuss
- 4. Ashok gave 40 per cent of the amount he had to Jayant. Jayant in turn gave one-fourth of what he receive from Ashok to Prakash. After paying Rs. 200 to the taxi driver out of the amount he got from Jayant,Prakash now has Rs. 600 left with him.How much amount did Ashok have?
Options- A. 1200
- B. 4000
- C. 8000
- D. Data inadequate Discuss
- 5. The ratio of the number of student appearing for examination in the year 1998 in the states A, B and C was 3 : 5 : 6. Next year if the number of students in these states increase by 20%, 10% and 20% respectively, the ratio in states A and C would be 1 : 2. What was the number of students who appeared for the examination in the state A in 1999?
Options- A. 7200
- B. 6000
- C. 7500
- D. Data inadequate Discuss
- 6. In a examination it is required to get 36% of maximum marks to pass. A student got 113 marks and declared failed by 85 marks. The maximum marks are?
Options- A. 500
- B. 550
- C. 640
- D. 1008 Discuss
- 7. The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increased the expenditure on this account is?
Options- A. 15%
- B. 20%
- C. 25%
- D. 30% Discuss
- 8. Out of a total 85 children playing badminton or table tannins or both,total number of girl in the group is 70% of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total numbers of children and a total numbers of children and a total 12 children play badminton and table tennis both. What is the number of girls playing only badminton?
Options- A. 16
- B. 14
- C. 17
- D. Data inadequate Discuss
- 9. A student attempted 24 question and secured full marks in all of them. If he obtained 40% in the test and each question carried equal marks, then what was the total number of questions in the test?
Options- A. 30
- B. 40
- C. 60
- D. 70 Discuss
- 10. In a town 25% families own a phone and 15% own a car, 65% families own neithers a phone nor a car. 2000 families own both a phone and a car. Consider the following statement in this regard.
(i) 10% families own both a car and a phone.
(ii) 35% families own either a car or a phone.
(iii) 40000 families live in the town.
Which of the above statement are correct?
Options- A. I and II
- B. I and III
- C. II and III
- D. I, II and III Discuss
More questions
Correct Answer: 400%
Explanation:
Let sale in 2008 = 100
Sale in 2009 = 20
Sale in 2010 = 100
? Required increases = [(100 - 20)/20] x100
= (80/20) x 100 = 400%
Correct Answer: 854
Explanation:
Last year number of boys in school = 610
? Number of boys in school this year = 610 - (610 x 20)/100
= 610 - 122 = 488
? Number of girls in school this year
= Number of boys in school this year x 175%
= (488 x 175)/100
= (488 x 7)/4
= 122 x 7
= 854
Hence, number of girls in school this year in 854.
Correct Answer: ? 30600
Explanation:
Mr. Sen's monthly income
= (Bina + Anita)'s monthly income = 775200/12 = ? 64600
According to the question.
Bina's monthly income = 90% of Anita's monthly income
? Bina/Anita = 90/100 = 9 /10
? Bina : Anita = 9 : 10
? Bina's Monthly salary
= (9/19) x 64600
= ? 30600
Correct Answer: 8000
Explanation:
? J = 40% of A =2A/5
? P = 1/4 x 2A/5 = A/10
? A/10 - 200 = 600
? A/10 = 800
? A = Rs. 8000
Correct Answer: Data inadequate
Explanation:
Let the number of students appearing for examination in the year 1998 in the states A, B and C be 3N, 5N,and 6N respectively.
According to the question, {(3N x 120)/100} / {(6N x 110)/100} = 1/2
Its true for every N so, The data is inadequate.
Correct Answer: 550
Explanation:
? 36% of N = (113 + 85)
? N = (100 x 198) / 36 = 550
Correct Answer: 20%
Explanation:
Reduction in consumption = { m / (100 + m)} x 100%
= (25/125) x 100%
= 20%
Correct Answer: 14
Explanation:
Let the number of boys = x
then x + 7x/10 = 85
? x = 50
? No. of girls = 85 - 50 = 35
(i) Number of boys playing only badminton =50% of boys
= 50/100 x 50 = 25
(ii) Number of children playing only table tennis
= 40% of total no. of children
= 40/100 x 85 = 34
(iii) Total no. of children playing both badminton and table tennis = 12
Hence, number of girls playing only badminton = 85 - (25 + 34 + 12)
= 85 - 71 = 14.
Correct Answer: 60
Explanation:
40% = 24 questions.
? Total question = (100/40) x 24 = 60
Correct Answer: II and III
Explanation:
Suppose N% familes own both a car and a phone, then
percentage of the families owing only a phone = 25 - N
Percentage of the families owing only a car = 15 - N
? (25 - N) +(15 - N) + N + 65 = 100
? N = 5
Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35
So, Statement ll is correct.
Now, suppose the total number of families in the town be A.
? (5 x A)/100 = 2000 ? A = 40000
So, Statement lll is also correct.
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