Mathematics Test

Result

Mathematics Test - 4

Score
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Weekly Quiz Competition

Question 1
1 / -0

A
π/4

B
3π/4

C

D

Solution
Question 2
1 / -0

If two vertices of a triangle are (5, -1), (-2, 3) and the orthocentre of the triangle lies at the origin, then the third vertex is

A
(4, 7)

B
(-4, -7)

C
(4, -7)

D
(-4, 7)

Solution

Let the third vertex C be (x₁ , y₁) since O(0, 0) is the orthocenter

m_CO× m_AB = – 1
Question 3
1 / -0

How many five digit numbers can be formed by using the digits 1,2,3,4,5 without repetition of digits?

A
120

B
240

C
150

D
160

Solution

1,2,3,4,5

Number of given digits =5 Number of Digited number to be formed =5 Number of such numbers ⁵P₃
Question 4
1 / -0

If a₁ , a₂ , a₃,....a₂₀ are AMs between 13 and 67, then the maximum value of product a₁ a₂ a₃ ....a₂₀ is.

A
(20)²⁰

B
(60)²⁰

C
(80)²⁰

D
(40)²⁰

Solution
Question 5
1 / -0

If a < 0, the function f(x) = e^ax + e^{- ax} is a monotonically decreasing function for values of x given by :

A
x > 0

B
x < 0

C
x > 1

D
x < 1

Solution
Question 6
1 / -0

There are unlimited number of identical balls of four different colours. How many arrangements of at most 8 balls in row can be made by using them?

A
97380

B
87380

C
87370

D
87480

Solution
Question 7
1 / -0

LCM of two numbers is 16 times their HCF. The sum of LCM and HCF is 850. If one number is 50, then what is the other number ?

A
800

B
1200

C
1600

D
2400

Solution
Question 8
1 / -0

A
0

B
1

C
2

D
3

Solution

Finding determinant of the give matrix = |A|

= 2 times 9 - 6 times 3 = 18 - 18 = 0
Question 9
1 / -0

The 4th term from the end in the expansion of

A
35X

B
50X

C
25X

D
70X

Solution
Question 10
1 / -0

If A=[1], then the order of the matrix is

A
1x1

B
2x1

C
1x2

D
None of these

Solution

Since, given matrix contain a single element means it contain one row and one column.

∴ Order of matrix A is 1×1