The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

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

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

A80 degrees

B60 degrees

C120 degrees

D40 degrees

Nithin ? Aug 12 '2022 at 22:24

Correct answer is: 60 degrees

Explanation:

Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.

Hence the second largest angle of the triangle is 60 degrees.

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The ratio between the angles of a quadrilateral is 7 : 2 : 5 : 6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral?

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

The ratio between the angles of a quadrilateral is 7 : 2 : 5 : 6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral?

A$162^∘$

B$198^∘$

C$99^∘$

D$135^∘$

Nithin ? Aug 12 '2022 at 22:18

Correct answer is: \(135^∘\)

Explanation:

\(7x + 2x +5x + 6x = 360^∘\)

\(\implies 20x = 360^∘\)

\(\implies x = \frac{360}{20} = 18\)

\(\text{Therefore, Required answer =} \Large \frac{15x}{2}\)

\(\text{Required answer}=\frac{15 \times 18}{2}=135 ^{\circ}\)

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

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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