Mathematics Test

Result

Mathematics Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Find the sum of the series : C₀ - 3C₁ + 5C₂+.....+ (-1)ⁿ (2n + 1) C_n for n > 1

A
1

B
2

C
3

D
0

Solution
Question 2
1 / -0

From a group of persons the number of ways of selecting 5 persons is equal to that of 8 persons. The number of persons in the group is

A
13

B
40

C
18

D
21

Solution
Question 3
1 / -0

A (3, 2, 0), B (5, 3, 2) and C (-9, 6, -3) are three points forming a triangle and AD is bisector of the angle BAC. AD meets BC at the point :

A

B

C

D
None of these

Solution
Question 4
1 / -0

A
35

B
45

C
20

D
40

Solution
Question 5
1 / -0

The value of iⁱis :

A
ω

B
-ω²

C
π/2

D

Solution
Question 6
1 / -0

A
ln x + (x³/2) + c

B
ln x + 3x³+ c

C
ln x + (x³/3) + c

D
ln x + x³+ c

Solution
Question 7
1 / -0

For what value of 'a' is the area bounded by the curve y = a²x²+ ax + 1 and the straight line y = 0, x = 0 & x = 1 the least ?

A

B

C

D
None of these

Solution
Question 8
1 / -0

How many three-digit numbers can be formed without using the digits 0, 2, 3, 4, 5 and 6 ?

A
64

B
63

C
62

D
60

Solution

Three-digit numbers are to be formed by using the digits 1, 7, 8 and 9.

To form a number of three digits, we are to fill up three places : the hundred's, the ten's and the unit's. The hundred's place can be filled in 4 different ways because anyone of 1, 7, 8 and 9 can fill up this place.

Similarly, ten's and unit's places can also be filled in 4 different ways each.

Accordingly, by FPC,

the no. of three-digit numbers = 4 × 4 × 4 = 64
Question 9
1 / -0

The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is

A
6/5

B
5/3

C
10/3

D
3/5

Solution

Let the equation of the circle is (x−1) 2 + (y − k) 2 = k2

It passes through (2, 3)

⇒ (2-1)²+ (3-k)² = k²

⇒ 1 + 9 + k²- 6k = k²

⇒ 10 - 6k = 0

⇒ k = -10/6

⇒ k = 5/3 ⇒ diameter = 10/3
Question 10
1 / -0

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is

A
220030

B
22030

C
1220

D
1250

Solution