Explanation

Multiply 10 x 12 x 15 = 1800

ND16-3-2023

Explanation

Let third number = x

First number = 120/100 x = 6x/5

Second number = 150/ 100x = 3x/2

Ratio of two numbers = 6x/5 : 3x/2 = 12x : 15x = 4:5

Explanation

The pattern in the series appears to be a decrease of 1, then an increase of 3, repeating:

7 -> 6 (decrease by 1)

6 -> 5 (decrease by 1)

5 -> 9 (increase by 3)

9 -> 3 (decrease by 6, but pattern suggests decrease by 1)

3 -> 12 (increase by 3)

12 -> 1 (decrease by 11, but pattern suggests decrease by 1)

1 -> 15 (increase by 3)

15 -> -1 (decrease by 1)

Therefore, the next number in the series is -1.

Explanation

The prime numbers between 64 and 81 is = 67, 71 ,73,79

Explanation

Area left after laying black tiles = [(20 -- 4) $\times$ (10 -- 4)] sq. ft = 96 sq. ft
Area under white tiles = $\left(\frac{1}{3}\times 96\right)sq.ft=32sq.ft$
Area under blue tiles = (96 -- 32) sq. ft. = 64 sq. ft
Number of blue tiles = $\frac{64}{\left(2\times 2\right)}=16$

Explanation

Let AC be the ladder and BC be the wall . Then,

In right $△$ ABC,

$A{C}^2=A{B}^2+B{C}^2$

$A{C}^2=(2.5{)}^2+(6{)}^2$

$A{C}^2=\mathrm{42.25mama}$

$AC=6.5m$

Hence, the length of ladder is 6.5 m.

Explanation

Diameter of car wheel is 84 cm

Circumference of the wheel = 2*pi*r

= 2*22*.42/7

= 2.64 meter

Speed of the car is 72 kmph

Speed in m/sec is 72*5/18 = 20 m/sec

Distance covered in 11 minutes = 20*11*60 = 13200 meter

Number of revolutions in 11 minutes = distance covered in 11 minutes / circumference of the wheel

= 13200/2.64

= 5000 revolutions

Explanation

 Increase 9,000 by 30%, which is the same as increasing by three tenths (3/10).

30% more than 9,000 is

11,700

Explanation

It can be solved in a simple way

Profit = (12500 - 12000) + (52500-50000) - (13000 - 12000) - 2000

= 2500 + 2500 - 1000 - 2000

= 5000 - 3000 

= 2000 profit

ND5-09-2023

Explanation

The formula for compound interest is:

A = P(1 + r/100)ⁿ

A = Amount

P = Principal

r = rate of interest

n = conversion period

In the given problem statement :

P = Rs. 1,00,000

r = 5%

n = 6 months

(i) Interest for six months

A = 1,00,000(1 + 5/100)¹

= 1,00,000(1 + 0.05)

= 1,00,000(1.05)

= 1,05,000

Interest for six months = 1,05,000 - 1,00,000

= Rs.5000

(ii) Amount for six Months = Rs. 1,05,000

(iii) Interest for next six months

A = 1,05,000(1 + 5/100)

= 1,05,000(1.05)

= 1,10,250

Interest for next six months = Rs. 1,10,250 - Rs. 1,10,000

= Rs. 5,250

(iv) Amount for One year = Rs. 1,10,250