Correct Answer: 83

Solution : a(a + b + c) = 45 ------------------------- (1)
b(a + b + c) = 75 ------------------------- (2)
c(a + b + c) = 105 ------------------------ (3)
Adding (1), (2), and (3), we get (a + b + c)² = 225
⇒ (a +

Correct Answer: 15

Solution : The average of a, b, and c is 20, and that of b, c, and d is 25.
a + b+ c = 3 × 20 = 60 ---(i)
b + c+ d = 3 × 25 = 75 ---(ii)
Solving equations (i) and (ii),

Correct Answer: China

Solution : The correct option is China.

At the 2020 Summer Paralympics held in Tokyo, Japan, China topped the medal table with a total of 207 medals, including 96 gold, 60 silver and 51 bronze medals. China's athletes demonstrated exceptional skill and determination, earning them numerous

Correct Answer: 8

Solution : Given: Initial speed ($a$) = 21 km/hr
Increase in speed every hour ($d$) = 3 km/hr
This is an arithmetic progression, with the initial number ($a$) = 21 and the common difference ($d$) = 3
Also, the sum of A.P. = $\frac{n}{2}[2a + (n -

Correct Answer: 78

Solution : Given:

In each column, the third number is the difference between the first two numbers.
Column 2: 96 – 27 = 69
Column 3: 142 – 29 = 113
Similarly, Column 1: (?) – 21 =

Correct Answer: 1

Solution : The sentence is already correct and does not need any improvement because the original phrase "ingestion of contaminated water or food" accurately describes how pollutants find their entry into the body.  Therefore, the correct answer is:

No Improvement

Correct Answer: Past 

Solution : Given:
Forecast : Future :: Regret : ?

Forecast stands for the prediction of future.
Regret is a feeling about something bad or wrong which is already made in the past.

Hence, the fourth option is correct.

Correct Answer: 108 m

Solution : Diameter of sphere = 18 cm
Radius of sphere, $R$ = 9 cm
Diameter of wire = 6 mm
The radius of wire, $r$ = 3 mm = 0.3 cm
Let $l$ be the length of the wire.
Volume of sphere = volume of

Correct Answer: 15 and 125

Solution :
Given: $\angle A=70^{\circ},\angle B=80^{\circ}$, $\angle ACB = 2x^{\circ},$ and $\angle BDC = y^{\circ}$
$\angle C = 180^{\circ}-70^{\circ}-80^{\circ}=30^{\circ}$
$\therefore \angle ACB = 2x^{\circ} = 30^{\circ}$
$⇒x=15^{\circ}$
Now, $\angle BDC=90^{\circ}+\frac{1}{2}\angle A^{\circ}$
⇒ $y=90^{\circ}+\frac{1}{2}\angle 70^{\circ}$
$\therefore y=125^{\circ}$
Hence, the correct answer is 15 and 125.

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the third option figure is embedded in the given question figure.

Hence, the third option is correct.