Correct Answer: 18 + 6 ÷ 7 × 5 – 2 = 18

Solution : Given:
+ stands for division, ÷ stands for multiplication, × stands for subtraction, and –stands for addition.

Replace the mathematical signs and solve the equations.
Let's check the given options –
First option: 18 ×

Correct Answer: 1.59

Solution : Average number of children per family
$=\frac{\sum{\text{Number of children}\times\text{Number of families}}}{\sum{\text{Total number of families}}}$
$=\frac{0\times4+1\times22+2\times15+3\times6+4\times2}{4+22+15+6+2}$
$=\frac{22+30+18+8}{49}$
$=\frac{78}{49}$
$=1.59$
Hence, the correct answer is 1.59.

Correct Answer: (7, 169) 

Solution : Let's check the given options –
First option: (25, 49); 25 = 5² and 49 = 7²

Second option: (121, 169); 121 = 11² and 169 = 13²
Third option: (7, 169); 169 = 7 is not a perfect square

Correct Answer: 120

Solution : Side of the rhombus = 13 cm
One of the diagonals = 24 cm
$side^2 = (\frac{d_1}{2})^2+(\frac{d_2}{2})^2$
⇒ $13^2=(\frac{24}{2})^2+(\frac{d_2}{2})^2$
⇒ $169=144+(\frac{d_2}{2})^2$
⇒ $(\frac{d_2}{2})^2=25$
⇒ $\frac{d_2}{2}=5$
⇒ $d_2=10$
Area of a rhombus = $\frac{d_1 × d_2}{2}$
= $\frac{24\times10}{2}$
= $120\ cm^2$
Hence, the correct answer Is

Correct Answer: marketable surplus

Solution : The correct option is a marketable surplus

The difference between a farmer's total agricultural output and the portion of that output consumed on the farm is known as the marketable surplus or net farm income. This surplus represents the quantity of agricultural products that

Correct Answer: $15:12:10$

Solution : Required ratio = $(\frac{1}{4}):(\frac{1}{5}):(\frac{1}{6})$
= $(\frac{1}{4}×60):(\frac{1}{5}×60):(\frac{1}{6}×60)$ [Multiplying each fraction by LCM of (4, 5 and 6) i.e., 60]
= $15:12:10$
Hence, the correct answer is $15:12:10$.

Correct Answer: 1856

Solution : The correct option is 1856.

Awadh, also known as Oudh, was annexed by Lord Dalhousie, the Governor-General of India, in 1856. The annexation took place under the Doctrine of Lapse, a policy introduced by Lord Dalhousie that allowed the British East India Company to annex

Correct Answer: 0.2

Solution : $(0.08 \% \text { of } 0.008 \% \text { of } 8)^{\frac{1}{9}}$
$= (8 × \frac{0.008}{100} × \frac{0.08}{100})^{\frac{1}{9}}$
$= [\frac{8 × 8 × 8}{100 × 1000 × 100 × 100}]^{\frac{1}{9}}$
$= [(\frac{2}{10})^9]^{\frac{1}{9}}$
$=\frac{2}{10}$
$​​​​​​​= 0.2$
​​​​​​​Hence, the correct answer is 0.2.

Correct Answer:

Solution : Follow the pattern to obtain the missing figure in the given series –

Hence, the third option is correct.

Correct Answer: 105

Solution : Let the numbers be 3$x$ and 4$x$
Use: HCF × LCM = Product of the numbers
According to the question
⇒ HCF(3$x$, 4$x$) × LCM(3$x$,4$x$) = 2700
Now,
 HCF(3$x$, 4$x$) = $x$
 LCM(3$x$, 4$x$) = 12$x$
So,
⇒ $x× 12x = 2700$
⇒ $12x^{2} =