Explanation

Given:

Side length of square = 31 meters

Perimeter formula: P = 4 × side

P = 4 × 31

P = 124 meters

Explanation

Students passed in English = 80%

Students passed in Math's = 85%

Students passed in both subjects = 73%

Then, the number of students who passed at least one subject

= (80+85)-73

= 92%.

[The percentage of students who passed in English and Maths individually, has already included the percentage of students who passed in both subjects. So, We are subtracting the percentage of students who have passed both subjects to find out the percentage of students who at least passed one subject.]

Thus, students failed in both subjects = 100-92 = 8%.

Explanation

In mathematics, the natural numbers are those numbers used for counting and ordering.

Numbers used for counting are called cardinal numbers, and numbers used for ordering are called ordinal numbers.

Explanation

Total students = 26

Students who like football = 21

Students who like cricket = 14

Let x be the number of students who like both football and cricket.

Using the formula:

(Football ∪ Cricket) = Football + Cricket – Both

So,

26 = 21 + 14 – x

26 = 35 – x

x = 35 – 26

x = 9

Explanation

To find how many more men are needed, we can use the formula for work:

$$text{Work} = text{Men} times text{Days}$$

Initially, 120 men can complete the work in 90 days. The total work can be represented as:

$$120 times 90 = 10800 text{ man-days}$$

Now, we need to find how many men are needed to complete the work in 40 days:

$$text{Required Men} = frac{10800}{40} = 270 text{ men}$$

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

Explanation

The given sequence is:

3, 4, 7, 8, 11, 12

Form differences between two consecutive numbers in the sequence as follows:

4 - 3 = 1

7 - 4 = 3

8 - 7 = 1

11 - 8 = 3

12 - 11 = 1

X- 12 = 3

= 15

Explanation

• "I have no brother": This means the man is an only child.
• "That girl's father is my father's son": This means the girl's father is the man himself.

Therefore, the photograph was of his daughter.

So the correct answer is (C) His daughter.

Explanation

To find the arrival time, add 5 hours and 30 minutes to the departure time:

Departure time: 21:15 PM (Wednesday)

Add 5 hours: 02:15 AM (Thursday)

Add 30 minutes: 02:45 AM (Thursday)

The correct answer is: 2:45 AM on Thursday

Explanation

20 men can construct a building in 40 days.

Total work = 20 men × 40 days = 800 man-days.

Time = Total work / Number of men = 800 man-days / 10 men = 80 days.