Mathematics Test 45

Result

Mathematics Test 45

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Weekly Quiz Competition

Question 1
4 / -1

Let A (2, –3) and B(–2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line

A
2x + 3y = 9

B
2x – 3y = 7

C
3x + 2y = 5

D
3x – 2y = 3

Solution

If C be (h, k) then centroid is (h/3, (k – 2)/3) it lies on 2x + 3y = 1.

⇒locus is 2x + 3y = 9.
Question 2
4 / -1

A compound sentence forModerate by two simple statements p and q using connective ‘or’ is called

A
Conjunction

B
Disjunction

C
Implication

D
none of these

Solution

A compound sentence forModerate by two simple statements p and q using connective ‘or’ is called disjunction.
Question 3
4 / -1

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

A
120

B
480

C
360

D
240

Solution

There are total 6 places for placing an alphabet, so 6! ways of placing a letter and in half the arrangement A will be before E and other half E will be before A.

Hence total number of ways = 6! /2 = 6 x 5 x 4 x 3 x 2 x 1/2 =360