Correct Answer: ÷ and ×

Solution : Given: 
(63 × 21) + 8 + 99 × 11 ÷ 16 + (12 × 4) = 158

Interchange the symbols according to the given options to make the equation correct. 
Let's check the options –
First option: + and –
⇒ (63

Correct Answer: 3.36%

Solution : Let the initial price be 100.
Initial price increase by 70%
⇒ New price = 100 + (70% of 100) = 170
Discounts of 5% and 20%
⇒ Discounted Price = 170 – (5% of 170) - 20% of [170 – (5% of 170)]
=

Correct Answer: $\frac{3}{2}$

Solution : Relative speed in the same direction = (40 – 30) = 10 km/hr
Distance covered by P in 30 minutes,
= $(30×\frac{1}{2})=15$ km
The time it will take Q to overtake P = $\frac{15}{10}$ = $\frac{3}{2}$ hr
Hence, the correct answer is $\frac{3}{2}$.

Correct Answer: 13 cm

Solution :

A tangent at any point of a circle is perpendicular to the radius through the point of contact.
According to the Pythagorean theorem, we have:
$OA^2 = OP^2 + PA^2$
Substituting the given values, we get:
$OA^2 = 12^2 + 5^2 = 144 +

Correct Answer: Terrible

Solution : The second option is the correct choice.

Dreadful refers to things that are extremely bad, unpleasant, or shocking. Terrible is the most suitable synonym for dreadful. Both terms convey a sense of extreme fear, horror, or something causing great distress.

The meanings of the other

Correct Answer: Mother-in-law

Solution : Following the instructions of the question, the family tree will be –

Here, the quadrilateral represents the male and the circular figure represents the female in the figure.

So, the lady in the portrait is the mother-in-law of Kanika. Hence, the first option is correct.

Correct Answer: Males, Fathers, Sons

Solution : Let's check each option –
First option: Sisters, Females, Mothers; All sisters and all mothers are females and some mothers can be sisters so there is some common region between females and sisters. Therefore, this is incorrect.
Second option: Males, Fathers, Sons; All

Correct Answer: INR 50 lakh crore

Solution : The correct answer is INR 50 lakh crore.

According to the estimates of the National Budget 2019–20, INR 50 lakh crore is needed for railway infrastructure during 2018–2030. Railways got a budgetary allocation of Rs. 65837 crore, and Rs. 7255 crore

Correct Answer: 16.1 kg

Solution : Let the price of 1 kg sugar be 100.
So, total expenditure before price hike = 18.4 × 100 = 1840
New price = 100 + 28 = 128
New expenditure $=\frac{100+12}{100}×1840=\frac{112}{100}×1840=2060.8$
So, the new quantity of sugar expenditure = $\frac{2060.8}{128}=16.1$ kg
Hence, the

Correct Answer: 18

Solution : The volume of a hemisphere is $\frac{2}{3}\pi r^3$.
Given that the diameter of the hemisphere is 18 cm, the radius$(r)$ is 9 cm.
$\therefore$ The volume of the hemisphere = $\frac{2}{3}\pi (9)^3 = 486 \pi \text{ cm}^3$
The volume of a cylinder is $\pi r^2h$.