Which of the following represents ab = 64 ?
Which of the following represents ab = 64 ?
Which of the following represents ab = 64 ?
Nithin ? Aug 12 '2022 at 21:17
Correct answer is: 32 : a = b : 2
Explanation:
\(\Large \frac{32}{a}=\frac{b}{2} => ab = 64\)
In a test, a candidate secured 336 marks out of maximum marks 'x'. If the maximum marks 'x' were converted into 400 marks, he would have secured 192 marks. What were the maximum marks of the test?
Nithin ? Aug 12 '2022 at 21:11
Correct answer is: 700
Explanation:
\(x : 336 = 400 : 192\)
\(\Large x \times 192 = 336 \times 400\)
\(\implies \Large x = \frac{336 \times 400}{192}\)
\(x = 700\)
75% of a number is equal to $\Large \frac{5}{8}^\text{th}$ of another number. What is the ratio between the first number and the second number respectively?
Nithin ? Aug 12 '2022 at 21:0
Correct answer is: 5 : 6
Explanation:
Let the number be x and y respectively.
\(\therefore \Large \frac{75x}{100}=\frac{5y}{8}\)
\(= \Large \frac{x}{y} = \frac{5}{8} \times \frac{100}{75} = \frac{5}{6} or\ 5 : 6\)
Number of Students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join Arts faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together?
Nithin ? Aug 12 '2022 at 8:20
Correct answer is: None of these
Explanation:
Let the original number of students in Arts and Science faculties be 5x and 8x respectively.
According to the question,
\(\frac{5x+150}{8x+80} = \frac{3}{4}\)
\(\implies 24x + 240 = 20x + 600\)
\(\implies 4x = 360\)
\(\implies x= 9\)
\(\therefore \text{Original number of students = 5x + 8x = 13x}\)
\(= 13 × 90 = 1170\)
Production of company A is 120% of the production of company B and 80% of the production of company C. What is the ratio between the productions of companies A, B and C respectively?
Nithin ? Aug 11 '2022 at 21:53
Correct ander is: 12 : 10 : 15
Explanation:
Let the production of company B = 100 units
Therefore, Production of company A = 120 unitsProduction of company C 120 x 100 = \(\Large \frac{120 \times 100}{80}\) = 150 units
Therefore, Required ratio =120 : 100 : 150
= 12 : 10 : 15
A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs. 2580 more than the share of B, then what is the total amount A and D together ?
Nithin ? Aug 11 '2022 at 21:47
Correct answer is: Rs. 6708
Explanation:
Let the shares of A, B, C and D be Rs. 3x, 4x, 9x and 10x respectively.
= 9x - 4x =2580
⇒ 5x = 2580
⇒ x = 516
∴ Required Amount = 3x + 10x = 13x
= Rs. (13 × 516)
= Rs. 6708
20 boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (eg, if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7: 8?
Nithin ? Aug 11 '2022 at 21:43
Correct answer is: 75
Explanation:
Let the no. of increased boys and girls be x each
Thus \(\frac{(20 + x)}{(25 + x)} = \frac{7}{8}\)
Thus x = 15
Hence number of members of group = 20 + 15 + 25 + 15 = 75