Question

i) when 5 is added to twice a number then sum is 11. the number is______
ii) the next two terms of the number sequence 6,11,10,15,14,....... are _______
iii) the speed of a train is 120km/h. the distance covered by it in 29 minutes will be_______
iv)The area of circular region is 2464 square meters. the radius of the region is _______
v) the diagonal of a parallelogram PQRS are ____ and ________​

Answer 1

Answer:

i) 3

ii) 19,18,23,22

iii) 58 km

iv) 185.77

v) Sorry but this I don't know

Hope this will help you

Answer 2

Answer:

(i) The number is 3.

(ii) The next two terms are 19 and 18 respectively.

(iii) Distance = 58 km

(iv) The radius of the region is 28 m.

(v) PR and QS.

Step-by-step explanation:

(i)

Let the number be x.

Now,

According to the Question,

2x + 5 = 11

2x = 11 - 5

2x = 6

x = 6/2

x = 3

Hence,

The number is 3.

(ii)

Now, if we observe the pattern closely,

6 + 5 = 11

11 - 1 = 10

10 + 5 = 15

15 - 1 = 14

Do you see the pattern?

The sequence, adds 5 then subtract 1, adds 5 again then subtracts 1.

So,

The next 2 terms will be,

14 + 5 = 19

19 - 1 = 18

Hence,

The next two terms are 19 and 18 respectively.

(iii)

We know that,

Speed = 120 km/h

Time taken = 29 mins.

But speed is in km per hour.

So, we must convert mins. to hrs.

60 mins = 1 hr.

1 min. = (1/60) hr.

Thus,

29 mins. = 29 × (1/60)

29 mins. = (29/60) hr.

Now,

Speed = Distance/Time

So,

Distance = Speed × Time

Distance = 120 × (29/60)

Distance = 2 × 29

Hence,

Distance = 58 km

(iv)

We know that,

Circular region is nothing but the area of a circle.

Let the radius be r

So,

Area = πr²

But given,

Area = 2464 m²

So,

2464 = πr²

Taking π = (22/7)

2464 = 22r²/7

22r² = 2464 × 7

22r² = 17248

r² = 17248/22

r² = 784

r = √784

r = 28 m

Hence,

The radius of the region is 28 m.

(v)

PR and QS.

Hope it helped and believing you understood it........All the best