Quant mock(Speed test-11) for Govt. exams(15 qns) 60-70%Triangles

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1.x² + zx + 72 = 0 has two distinct integer roots; how many values are possible for 'z'?

a. 3      b.12     c.6       d.24

 

2.In what ratio should a 20%  alcohol solution be mixed with a 50% alcohol solution so that the resultant solution has 40%  alcohol in it?

a. 1 : 2   b.2 : 1  c.1 : 3  d. 3 : 1

3.The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?

a.300  b.120  c.150  d.170

4. In a class 40% of the students enrolled for science and 70% enrolled for computer. If 15% of the students enrolled for both science and computer, what % of the students of the class did not enroll for either of the two subjects?
a.5%   b.15%   c.0%  d. 25%

5. If the diagonal and the area of a rectangle are 25 m and 168 m², what is the length of the rectangle.

a. 17m  b.31m  c.12m  d.24m

6.Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?

a. Rs.192   b.Rs.133   c.Rs.144   d.Rs.128

7.The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?

a.1  b.2  c.3  d.4

8.ABCDE is a regular pentagon. O is a point inside the pentagon such that AOB is an equilateral triangle. What is ∠OEA?

a.66  b.48^°  c.54^°  d.72^°

9.Consider a right–angled triangle with inradius 2 cm and circumradius of 7 cm. What is the area of the triangle?

a.32 ²cm  b.31.5 ² cm  c.32.5 ² cm d.33 ² cm

10.Two sides of an isosceles triangle measure 3 and 7.  Which of the following could be the measure of the third side?

a.9   b.7  c.5  d.3

11.The midpoints of the sides of triangle ABC are labeled D, E and F.  If the perimeter of triangle DEF is 24, find the perimeter of triangle ABC.

a.48  b.72  c.96  d.120

12.What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

a.6  b.4  c.24.5  d.20.5

13.If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?

a.7  b.12  c.9  d.13

14.What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 150^o?

a.24 sq cm  b.48 sq cm  c.28 sq cm  d. 48sq. cm

15.What is the radius of the incircle (circle inscribed) of the triangle whose sides measure 5, 12 and 13 units?

a.2 units  b.12 units  c.6.5 units  d.6 units