The ratio of two positive numbers is 3 : 4. The sum of their squ

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

The ratio of working of A and B are in the ratio of 2 :  3. The number of days taken by them to finish the work in the ratio:

  • 2 : 3

  • 4 : 9

  • 3 : 2

  • 3 : 2

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52.

The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?

  • 28

  • 22

  • 24

  • 24


A.

28

Let the first number = 3x

 Second number = 4x

According to the question,

(3x)2 +  (4x)2 = 400

 9x2 + 16x2 = 400

           25x2 = 400

           rightwards double arrow space space straight x squared space equals space 400 over 25 space equals space 16
rightwards double arrow space space space straight x space equals space 4

∴   Required sum = 3x + 4x = 7x = 7 x 4 = 28

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53.

If 10% loss is made on selling price, then the rate of loss on the cost price will be

  • 11 1 over 9 percent sign

  • 9 1 over 11 percent sign

  • 10%

  • 11%

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54.

If "basis points" are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent?

  • 0.2%

  • 20%

  • 200%

  • 2000%

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55.

Sound travels at 330 m/sec. The distance (in km) of a thunder cloud when its sound follows the flash after 10 sec is

  • 0.33 km

  • 3.3 km

  • 33 km

  • 33.3 km

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56.

For what sum will the simple interest at R% for R years will be R?

  • fraction numerator 100 over denominator 2 straight R end fraction

  • 50 over straight R

  • 100 over straight R

  • 200 over straight R

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57.

If straight p squared space plus space 1 over straight p squared space equals space 47 comma then value of straight p plus 1 over straight p is

  • 5

  • 6

  • 7

  • 8

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58.

The third proportional of the following numbers (x - y)2,  (x2 - y2)2 is:

  • (x + y)3 (x - y)2

  • (x + y)4 (x - y)2

  • (x + y)2 (x - y)2

  • (x + y)2 (x - y)2

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59.

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

  • 3 cm

  • 4 cm

  • 5.5 cm

  • 3.5 cm

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60.

Let Δ ABC and Δ ABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of Δ ABC and Δ ABD will be

  • Δ ABD = 1/3 Δ ABC

  • Δ ABD = 1/2 Δ ABC

  • Δ ABC = 1/2 Δ ABD

  • Δ ABC = 1/3 Δ ABD

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