Mathematics Test 186

Result

Mathematics Test 186

Score
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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A
[–4, –3]

B
[–3, –2]

C
[–2, 2]

D
[3, 4]

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

Let T(k) be the statement 1 + 3 + 5 + ... + (2k – 1)= k² +10

Which of the following is correct?

A

B

C

D

Solution
Question 5
4 / -1

A
I

B
II

C
III

D
IV

Solution
Question 6
4 / -1

The shaded region shown in the figure is given by the inequations

A
14x + 5y ≥ 70, y ≤ 14 and x – y ≥ 5

B
14x + 5y ≤ 70, y ≤ 14 and x – y ≥ 5

C
14x + 5y ≥ 70, y ≥ 14 and x – y ≥ 5

D
14x + 5y ≥ 70, y ≤ 14 and x – y ≤ 5

Solution
Question 7
4 / -1

ABCD is a convex quadrilateral. 3, 4, 5 and 6 points are marked on the sides AB, BC, CD and DA respectively. The number of triangles with vertices on different sides is

A
270

B
320

C
282

D
342

Solution

Triangles with vertices on AB, BC and CD are 3 × 4 × 5 = 60

Triangles with vertices on AB, BC and DA are 3 × 4 × 6 = 72

Triangles with vertices on AB, CD and DA are 3 × 5 × 6 = 90

Triangles with vertices on, BC, CD and DA are 4 × 5 × 6 = 120
Question 8
4 / -1

A
60

B
120

C
64

D
124

Solution
Question 9
4 / -1

The 20th terms of the series 2 + 3 + 5 + 9 + 16 +.......is

A
950

B
975

C
990

D
1010

Solution
Question 10
4 / -1

The distance of the point (1, 2) from the line x + y + 5 = 0 measured along the line parallel to 3x – y = 7 is equal to

A
4√10

B
40

C
√40

D
10√2

Solution