Median of: 5,8,3,9,1,7,6?

The correct answer is A: 6. To find the median, we must first arrange all numbers in ascending order, then locate the middle value. Step 1: Count the total numbers We have 7 numbers: 5, 8, 3, 9, 1, 7, 6 Step 2: Arrange in ascending order 1, 3, 5, 6, 7, 8, 9 Step 3: Find the position of median Since n = 7 (odd number), median p

10th term of AP: 2,5,8,11...?

The correct answer is A: 29. To find the nth term of an arithmetic progression, we use the formula $a_n = a + (n-1)d$ where a is the first term and d is the common difference. Step 1: Identify the first term and common difference. From the AP: 2, 5, 8, 11... First term a = 2 Common difference d = 5 - 2 = 3 Step 2: Write the for

In GP: 2,6,18,54... 5th term?

The correct answer is B: 162. This question asks you to find the 5th term of a geometric progression using the formula for the nth term. Step 1: Identify the first term and common ratio. First term: a = 2 Common ratio: r = 6/2 = 3 (or 18/6 = 3, or 54/18 = 3) Step 2: Write the formula for the nth term of a GP. The nth term of a G

Area of circle with radius 7cm (π=22/7)?

The correct answer is A: 154 sq cm. To find the area of a circle, we use the formula Area = πr², where r is the radius. Step 1: Write the formula for area of a circle. $$A = \pi r^2$$ Step 2: Substitute the given values. - Radius r = 7 cm - π = 22/7 $$A = \frac{22}{7} \times 7^2$$ Step 3: Calculate 7². $$A = \frac{22}{7} \times 49$$ S

Home

Home › Subjects › Mathematics

Mathematics

Pure mathematics, algebra, geometry and more

2 Q Take Mock Test

Difficulty: All Easy Medium Hard 1–2 of 2

Q.1 Hard Algebra

If a, b, c are in geometric progression with common ratio r, and a + b + c = 39, while a² + b² + c² = 651, then the value of r is:

A 1/2

B 2

C 3

D 1/3

Correct Answer: B. 2

EXPLANATION

In GP: b = ar and c = ar².

Given a + ar + ar² = 39 and a² + a²r² + a²r⁴ = 651.

From the first equation: a(1 + r + r²) = 39.

From the second: a²(1 + r² + r⁴) = 651.

Dividing these equations and solving yields r = 2, which satisfies both conditions when a = 3.

Test

Q.2 Hard Algebra

If α and β are roots of 3x² - 4x + k = 0 and α² + β² = 10/9, then k equals:

A 1

B 2/3

C 1/3

D 4/3

Correct Answer: C. 1/3

EXPLANATION

From Vieta's formulas: α + β = 4/3 and αβ = k/3.

Using α² + β² = (α+β)² - 2αβ, we get 10/9 = (4/3)² - 2(k/3) = 16/9 - 2k/3.

Solving: 10/9 = 16/9 - 2k/3 gives 2k/3 = 6/9 = 2/3, so k = 1/3.

Test

All Subjects & Topics

Govt. Exams

Entrance Exams

Teacher Exams

Subjects

Quick Links

Mathematics

About Mathematics Practice on iGET

Why prepare with iGET?

How to use this page effectively