The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

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BANK PO Exam (Bank Of Baroda) 2010 click here to view all questions

The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

A$80^∘$

B$60^∘$

C$100^∘$

D$90^∘$

Nithin ? Aug 12 '2022 at 22:10

Correct answer is: \(90^∘\)

Explanation:

If the largest and the second largest angles be 3x° and 2x°. respectively then, third angle = x

Threfore, x + 2x + 3x = 180°
Therefore, x = 30°

 

Therefore, Required sum = \(x + 2x = 3x = 90^∘\)

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When 30% of one number is subtracted from another number, the second number reduces to its own four-fifth. What is the ratio between the first and the second numbers respectively?

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BANK PO Exam (Allahabad Bank) 2010 click here to view all questions

When 30% of one number is subtracted from another number, the second number reduces to its own four-fifth. What is the ratio between the first and the second numbers respectively?

A 4 : 7

B3 : 2

C2 : 5

DNone of these

Nithin ? Aug 12 '2022 at 21:59

Correct answer is: None of these

Explanation:

let the numbers be x and y respectively.
According to the question,

\(\Large y-\frac{x \times 30}{100}=\frac{4}{5}y\)

\(\implies \frac{y}{5}=\frac{3x}{10}\)

\(= \Large x : y = \frac{10}{3 \times 5}\)

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The ratio of the number of students studying in school A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the school is increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in school A, B and C?

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BANK PO Exam (Indian Bank) 2010 click here to view all questions

The ratio of the number of students studying in school A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the school is increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in school A, B and C?

A3 : 25 : 15

B20 : 25 : 13

C15 : 25 : 13

DCannot be determined

Nithin ? Aug 12 '2022 at 21:48

Correct answer is: 15 : 25 : 13

Explanation:

Required ratio

\(\Large \frac{5 \times 120}{100}:\frac{8 \times 125}{100}:\frac{4 \times 130}{10}\)

\(\Large 5 \times 120 :\ 8 \times 125 :\ 4 \times 130\)

\(= 15 : 25 : 13\)

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Which of the following represents ab = 64 ?

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BANK PO Exam (Indian Bank) 2010 click here to view all questions

Which of the following represents ab = 64 ?

A8 : a = 8 : b

Ba : 16 = b : 4

Ca : 8 = b : 8

D32 : a = b : 2

Nithin ? Aug 12 '2022 at 21:17

Correct answer is: 32 : a = b : 2

Explanation:

\(\Large \frac{32}{a}=\frac{b}{2} => ab = 64\)

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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?

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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?

A700

B750

C500

D650

Nithin ? Aug 12 '2022 at 21:11

Correct answer is: 700

Explanation:

\(x : 336 = 400 : 192\)

\(\Large x \times 192 = 336 \times 400\)

\(\implies \Large x = \frac{336 \times 400}{192}\)

\(x = 700\)

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75% of a number is equal to \Large \frac{5}{8} th of another number. What is the ratio between the first number and the second number respectively?

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BANK PO Exam (PNB Bank) 2009 click here to view all questions

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?

A 5 : 4

B6 : 5

C4 : 5

D5 : 6

Nithin ? Aug 12 '2022 at 21:0

Correct answer is: 5 : 6

Explanation:

Let the number be x and y respectively.

\(\therefore \Large \frac{75x}{100}=\frac{5y}{8}\)
\(= \Large \frac{x}{y} = \frac{5}{8} \times \frac{100}{75} = \frac{5}{6} or\ 5 : 6\)

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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?

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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?

A1100

B1294

C1370

D None of these

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,

\(\frac{5x+150}{8x+80} = \frac{3}{4}\)

\(\implies 24x + 240 = 20x + 600\)

\(\implies 4x = 360\)

\(\implies x= 9\)

\(\therefore \text{Original number of students = 5x + 8x = 13x}\)

\(= 13 × 90 = 1170\)

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