One of the four angles of a rhombus is 60°. If the length of

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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141.

(1 + sin α) (1 + sin β) (1 + sin γ) = (1 - sin α) (1 - sin β) (1 - sin γ), then each side is equal to

  • plus-or-minus space cos space straight alpha. space cos space straight beta. space cos space straight gamma

  • plus-or-minus space space sin space straight alpha space sin space straight beta space space sin space straight gamma

  • plus-or-minus space space sin space straight alpha space space cos space straight beta space space cos space straight gamma

  • plus-or-minus space sin space straight alpha space space sin space straight beta space space cos space straight gamma

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142.

One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is

  • 8√3 cm

  • 8 cm

  • 4√3 cm

  • 8 /√3 cm


A.

8√3 cm



We know, each side of rhombus is equal and diagonals bisect each other at right angles,

Now, In Δ ODA,
      As angles ratio are in 30° : 60° :  90° = 1 : 2 : 3
 ∴   Sides ratio will be = 1 : √3 : 2
∴   If AD = 8 cm, then OD = (8/2) = 4 cm, OA = 4 x √3 cm
[According to sides ratio = 1 : √3 : 2]
  Thus, diagonal BD = 2 x OD = 8 cm,
          Diagonal AC = 2 x OA = 2 x 4 x √3 = 8√3 cm
Thus length of the longer diagonal  =  8√3 cm

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143.

If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is

  • 3 : 4

  • 4 : 5

  • 5 : 4

  • 3 : 5

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144.

Study the above bar graph showing the production of food grains (in million tonne).


What is the ratio between the maximum production and the minimum production during the given period?

  • 1 : 2

  • 2 : 3

  • 3 : 4

  • 5 : 2

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145.

Study the following histogram and answer the following questions.

The total number of students involved in the data is

  • 33

  • 32

  • 43

  • 42

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146.

Study the following histogram and answer the following questions.

The maximum number of students got the marks in the interval of

  • 10 - 20

  • 20 - 30

  • 30 - 40

  • 40 - 50

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147.

Study the following histogram and answer the following questions.

The least number of students got the marks in the interval

  • 40 - 50

  • 20 - 30

  • 10 - 20

  • 0 - 10

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148.

Study the following histogram and answer the following questions.

The ratio of the students obtaining marks in the first and the last interval is

  • 5 : 4

  • 6 : 5

  • 4 : 5

  • 3 : 4

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149.

Study the following histogram and answer the following questions.

The difference in the amount estimated by the family on interior decoration and architect's fees is

  • ₹ 10000

  • ₹ 9500

  • ₹ 7200

  • ₹ 9600

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150.



In a certain country, allocations to various sectors of the yearly budget per ₹ 1000 crore are represented by the pie-diagram. The expenditure (in ₹) on Agriculture is

  • 250 crore

  • 150 crore

  • 300 crore

  • 200 crore

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