Mathematics Test

Result

Mathematics Test - 4

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Weekly Quiz Competition

Question 1
4 / -1

The mean of the numbers 1, 4, 9, x, 12, 14, 15 and 16 is 10. Find the mode.

A
11

B
10

C
12

D
9

Solution
Question 2
4 / -1

The solution of the set of constraints of a linear programming problem is a convex (open or closed) is called ___________ region.

A
feasible

B
active

C
linear

D
None of these

Solution

The solution of the set of constraints of a linear programming problem is a convex (open or closed) is called feasible region. A feasible region or solution space is the set of all possible points problem that satisfy the problem's constraints, potentially including inequalities, equalities, and integer constraints.
Question 3
4 / -1

Three coins are tossed simultaneously. What is the probability that they will fall two heads and one tail?

A
1/3

B
1/2

C
1/4

D
3/8

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

How many zeroes are there in

1×2×3×4...........49×501×2×3×4...........49×50:

A
10

B
11

C
12

D
13

Solution

The given product can be written as 50!

So, to find number of zeros in 50!, we must divide 50 by the powers of 5 as following-

No. of zeros = 50/5 + 50/5² + ...... + 50/5ⁿ

No. of zeros = 10 + 2

[Considering remainder ≥1]

No. of zeros =12.

This is the required answer.
Question 6
4 / -1

A
1

B
2

C
3

D
infinite many

Solution
Question 7
4 / -1

If a rectangular hyperbola (x−1) (y−2) = 4 cuts a circle x² + y² + 2gx + 2fy + c = 0 at points (3,4), (5,3), (2,6) and (−1,0), then value of g + f + c is equal to :

A
-6

B
-8

C
6

D
8

Solution
Question 8
4 / -1

Probability of any event x lies

A
0 < x < 1

B
0 ≤ x < 1

C
0 ≤ x ≤ 1

D
1 < x < 2

Solution

18787

pe [0, 1]

option (c) is correct
Question 9
4 / -1

Find the median of AP.

A
√31/2

B
3√6/2

C
3√2/2

D
3√5/2

Solution
Question 10
4 / -1

What is the mode of 2, 7, 8, 11, 7, 1, 9, 8, 7 ?

A
9

B
8

C
7.8

D
7

Solution

2, 7, 8, 11, 7, 1, 9, 8, 7

as frequency of 7 is maximum

∴ mode is 7 answer