Explanation

1, 8, 27, 64, 125, 216, 343, and 512

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

5^3 = 125

6^3 = 216

7^3 = 343

8^3 = 512

Last verified on 05-09-2026

Explanation

The pattern in the series appears to be alternating between adding and subtracting.

27 + 5 = 32

32 - 2 = 30

30 + 5 = 35

35 - 2 = 33

33 + 5 = 38

Last verified on 05-09-2026

Explanation

Cost Price (CP) = Rs. 800
Selling Price (SP) = Rs. 1,000

Gain = SP − CP

$$=1000-800=200$$

Gain % = (Gain ÷ CP) × 100

$$=$$200/800​×100

=25%

Last updated by NA on 09-0-2026

Explanation

Pattern = Previous × 2 + 1

4 × 2 + 1 = 9

9 × 2 + 1 = 19

19 × 2 + 1 = 39

39 × 2 + 1 = 79

79 × 2 + 1 = 159

Verified & Updated

Explanation

Find the differences:

6 − 2 = 4

12 − 6 = 6

20 − 12 = 8

30 − 20 = 10

42 − 30 = 12

The differences increase by 2 each time.

Next difference = 14

42+14=56

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Explanation

To determine the relationship, we can break down the family structure:

B and D are sisters: The problem states D is B's sister.

A is B's daughter: This makes B A's mother.

E is D's son: This makes D E's mother.

A and E's relationship: Since A's mother (B) and E's mother (D) are sisters, A and E are the children of siblings.

Therefore, A is the cousin of E. 

Question updated 03-March-2026

Explanation

The square root of 144 is:

√144 = 12

Since 12 × 12 = 144.

So, the correct answer is: 12

Last verified on 09-09-2026

Explanation

The three interior angles of every triangle always add up to 180 degrees

Basic Geometry Formulas

Triangle

• Area = ½ × Base × Height
• Perimeter = a + b + c
• Sum of angles = 180°

Rectangle

• Area = Length × Width
• Perimeter = 2(Length + Width)

Square

• Area = Side²
• Perimeter = 4 × Side

Circle

• Area = πr²
• Circumference = 2πr

Triangle angle

• Interior angles = 180°

Last updated by NA on 09-09-2026

Explanation

• Value of Pi (π): Approximately 3.14159
• The value of π  (pi) is an irrational number
• Meaning it is a decimal that never ends and never settles into a repeating pattern

Last updated by NA on 09-09-2026

Explanation

A completes the work in 12 days.

So, A's 1-day work:

1/12

B completes the work in 24 days.

So, B's 1-day work:

1/24

Together, their 1-day work:

1/12 + 1/24  

LCM of 12 and 24 = 24:

 2/24 + 1/24  

= 3/24  

= 1/8  

Therefore, they will complete the whole work in:

8 days

*

Last updated by NA on 09-09-2026​