Explanation

Congruent objects are exactly the same in size and shape.

They can be superimposed perfectly on each other.

Examples include identical triangles, squares, or circles.

Explanation

A line segment whose endpoints lie on a circle is called a chord

If that chord passes through the circle's center, it's a diameter

If it's just a segment of a line that cuts the circle at two points, the full line is a secant. 

Explanation

lw = 297 ... (1)

(l+3)(w-1) = 297 + 3

lw - l + 3w - 3 = 300

297 - l + 3w = 303

-l + 3w = 6 ... (2)

From (1), l = 297/w

Substitute in (2):

-297/w + 3w = 6

3w² - 6w - 297 = 0

w² - 2w - 99 = 0

(w-11)(w+9) = 0

w = 11

l = 297/11 = 27

Last verified on 18-01-2026

Explanation

1994 = 6000

Doubled every 8 years:

1986 = 3000

1978 = 1500

1970 = 750

Last verified on 18-01-2026

Explanation

Initial value = 12000

Depreciation = 5% per year

Year 1: 12000 × 0.95 = 11400

Year 2: 11400 × 0.95 = 10830

Year 3: 10830 × 0.95 = 10288.5

Year 4: 10288.5 × 0.95 = 9774.075 ≈ 9774

Last verified on 18-01-2026

Explanation

Departure: 8:35 a.m.

Arrival: 3:12 p.m.

Convert both times to 24‑hour format:

- 8:35 a.m. → 08:35

- 3:12 p.m. → 15:12

Difference:

15:12 − 08:35

→ (15 – 8) hours = 6 hours

→ (12 – 35) minutes = –23 minutes

→ Borrow 1 hour → 6 hours → 5 hours 60 minutes

→ 60 – 23 = 37 minutes

Total journey: 6 hours 37 minutes

Last verified on 18-01-2026

Explanation

From the front: 5 people + Asif (6th).

From the back: 5 people + Asif (6th).

Total: 5 (front) + 5 (back) + 1 (Asif) = 11 people. 

Explanation

Each car has 2 bumpers (front and back).

5 cars x  2 bumpers = 10 total bumpers.

The front bumper of the first car and the rear bumper of the last car are not touching another car.

Therefore, 10 - 2 = 8 bumpers are involved in touching. 

Explanation

Step 1: Count the parents
Mr. and Mrs. Sajjad = 2 people

Step 2: Count the daughters
7 daughters = 7 people

Step 3: Count the sons

• The problem says “each daughter has one brother.”

• This does not mean each daughter has a separate brother.

• All 7 daughters share the same brother → 1 son

Step 4: Total family members

$$2\text{ (parents) }+7\text{ (daughters) }+1\text{ (son) }=10$$

Explanation

= -8/20 × 9/2 -1/2

= -9/5 -1/2

= (-18-5)/10

= -27/10 × 2/2

= -27/5

Last verified on 17-01-2026