Explanation

Let the height of the building be x meters.

Less lengthy shadow, Less in the height (Direct Proportion)

∴ 40.25 : 28.75 :: 17.5 : x ⇔ 40.25 × x = 28.75 × 17.5

Explanation

Cost Price of 56 kg rice = Rs.

(26 × 20 + 30 × 36)

= Rs. (520+1082) = Rs.1600.

Selling Price of 56 kg rice = Rs.

(56 × 30)

= Rs. 1680.

Profit = Selling Price - Cost Price = 1680 - 1600.

Profit Percentage = Profit / Cost price × 100

= 800/1600 × 100 = 5%

Explanation

The pattern alternates between multiplying by 2 and subtracting 8:

14 × 2 = 28

28 - 8 = 20

20 × 2 = 40

40 - 8 = 32

32 × 2 = 64

64 - 8 = 56

Explanation

To solve this problem, you need to use the concept of profit percentage and the formula:

Profit = Selling Price - Cost Price

Given:

Selling Price = Rs. 118

Profit = 50% of Cost Price

Let's calculate the Cost Price:

Profit = (50/100) x Cost Price

Profit = Rs. 118 - Cost Price

Substitute the profit value:

(50/100) x Cost Price = Rs. 118 - Cost Price

Simplify and solve for Cost Price:

Cost Price = Rs. 78.66

Explanation

The sum of all odd numbers between 1 and 100 is 50^2=2500

The sum of all even numbers between 2 and 100 is 50^2+50=2550

The total of 1 to 100 natural numbers is 2500+2550

5050

The average of the first 100 numbers is 5050 / 100 = 50.50

Explanation

Explanation

Step 1: Calculate the square of 4.

4^2 = 16

Step 2: Double the square of 4.

2×16=32

Step 3: Identify the positive integers that are multiples of 3 and less than 32.

The multiples of 3 below 32 are:

3,6,9,12,15,18,21,24,27,30

Step 4: Focus on the number 18.

18 is indeed a multiple of 3.

18 is less than 32 (which is double the square of 4).

Thus, 18 satisfies both conditions, making it one of the correct answers to the problem.

Explanation

The prime numbers between 60 and 80 are:

61, 67, 71, 73, and 79

Let's add them up:

61 + 67 = 128

128 + 71 = 199

199 + 73 = 272

272 + 79 = 351

So, the correct answer is: 351

Explanation

2:7 :: X:49

7*X = 2*49

7X=98

x=98/7

X=14

Explanation

Roman Number 51-100

51 - LI

52 - LII

53 - LII

54 - LIV

55 - LV

56 - LVI

57 - LVII

58 - LVIII

59 - LIX

60 - LX

61  - LXI

62 - LXII

63 - LXIII

64 - LXIV

100 - C