Subject

Quantitative Aptitude

Class

SSCCGL Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement

111.

In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is

  • 9 cm

  • 7 cm

  • 23 cm

  • 11 cm


B.

7 cm



Given, CD = 30 cm (Length of longest chord)
   ∴      CM = 30/2 = 15 cm (Perpendicular distance drawn from centre, bisects the chord)
          AB = 16 cm  (Length of smallest chord)
∴        AN = 16/2 = 8 cm (Perpendicular distance drawn from centre, bisects the chord)

Now, In Δ OCM,
         

Similarly,
        

∴ Distance between the chords = 15 - 8 = 7 cm.

46 Views

Advertisement
112.

If sin space left parenthesis straight A minus straight B right parenthesis space equals space 1 half and cos space left parenthesis straight A space plus space straight B right parenthesis space equals space 1 half comma where A > B > 0 and A + B is an acute angle, then the value of B is

  • straight pi over 6

  • straight pi over 12

  • straight pi over 4

  • straight pi over 2

34 Views

113.

The fifth term of the sequence for which t1 = 1,  t2 = 2 and tn+2 = tn + tn+1 is

  • 5

  • 10

  • 6

  • 8

42 Views

114.

If (x + 7954 x 7956) be a square number, then the value of 'x' is

  • 1

  • 16

  • 9

  • 4

41 Views

Advertisement
115.

A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C, they can finish it in 5 days. If they are paid ₹ 960 for the whole work how much money A gets?

  • ₹ 480

  • ₹ 240

  • ₹ 320

  • ₹ 400

31 Views

116.

Ronald and Elan are working on an assignment. Ronald takes 6h to type 32 pages on a computer, While Elan takes 5 h to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

  • 7 h 30 min

  • 8 h

  • 8 h 15 min

  • 8 h 25 min

40 Views

117.

One man,  3 women and 4 boys can do a piece of work in 96 h,  2 men and 8 boys can do it in 80 h, 2 men and 3 women can do it in 120 h. 5 men and 12 boys can do it in

  • 39 1 over 11 straight h

  • 42 7 over 11 straight h

  • 43 7 over 11 straight h

  • 44 h

35 Views

118.

ABC is a right-angled triangle. B being the right angle. Mid-points of BC and AC are respectively B' and A'. The ratio of the area of the quadrilateral AA'B'B to the are of Δ ABC is 

  • 1 : 2

  • 2 : 3

  • 3 : 4

  • None of these

37 Views

Advertisement
119.

A square ABCD is inscribed in a circle of unit radius. Semi-circles are described on each side as a diameter. The area of the region bounded by the four semi-circles and the circle is

  • 1 sq unit

  • 2 sq unit

  • 1.5 sq unit

  • 2.5 sq unit

46 Views

120.

If the perimeter of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2, then the ratio of area of the rectangle and that of the square is

  • 1 : 1

  • 1 : 2

  • 2 : 3

  • 8 : 9

29 Views

Advertisement