It's a Question of your Career!

Correct Answer: 60 cm²

Solution :
In $\triangle$ABC, AB = 12 cm, BC = 5 cm and AC = 13 cm
The semiperimeter ($s$) = $\frac{12+5+13}{2}$ = 15 cm
So, the area of $\triangle$ABC
= $\sqrt{15(15-13)(15-12)(15-5)}$
= $\sqrt{15×2×3×10}$
= 30 cm²
Now, the area of the parallelogram ABCD

Correct Answer: TRFURUUFUR

Solution : Given:
FU_U_E_UT_ _EF_T_RE_ _TU_E

To fill the series, we have to divide the series – FU_U_E / _UT_ _E / F_T_RE / _ _TU_E
Let's check the given options –
First option: TRFURUUFUR; FUTURE / FUTURE / F

Correct Answer: a warm ocean current

Solution : The correct answer is a warm ocean current.

El Nino is a weather phenomenon in which cold ocean current in Pacific ocean is replaced by warm ocean currents. Peruvian current is a cold ocean current which flows past the Peruvian coast in

Correct Answer: Bangladesh

Solution : The correct option is Bangladesh.

The 2024 ICC Women's T20 World Cup marks the ninth iteration of this prestigious tournament dedicated to women's cricket. Scheduled to take place in Bangladesh, the event is slated for September and October of that year.

Correct Answer: 960

Solution : Let the third proportion be $x$.
$15:120 :: 120: x$
⇒ $\frac{15}{120} = \frac{120}{x}$
$\therefore x = 960$
Hence, the correct answer is 960.

Correct Answer: 160

Solution : Number of students who opted for Biology in School D
= 20% of 800
= $\frac{20×800}{100}$
= 160
Hence, the correct answer is 160.

Correct Answer:

Solution : According to the given figures –
1. X and triangle interchange their positions at each step.
2. O and T interchange their positions at each step.
3. At each step, a new character/symbol is introduced which replaces the center element.

So, following the above pattern, the

Correct Answer: AB = PQ by SAS

Solution : In a $\triangle \mathrm{PQR}$ and $\triangle \mathrm{ABC}$,


$\angle$P = $\angle$A
AC = PR
For triangle PQR and ABC to be congruent if AB = PQ then they will be congruent by SAS rule.
Hence, the correct answer is AB = PQ

Correct Answer: Amateur

Solution : The correct choice is the fourth option.

Explanation:

The correct spelling is amateur, which means someone who engages in an activity to enjoy rather than doing it professionally, or someone inept in a particular activity.

Correct Answer: 12 cm

Solution : Given: The volume of a right circular cone = $196\pi\ \text{cm}^3$
Diameter of base = 14 cm
Radius = 7 cm
Volume of the cone = $\frac{1}{3}\pi r^2 h$
⇒ $196\pi = \frac{1}{3}\pi r^2 h$
⇒ $196 = \frac{1}{3}\times7\times7\times h$
⇒ $h = 12\