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48 Views

Question : In a $\triangle \mathrm{PQR}$ and $\triangle\mathrm{ABC}$, $\angle$P = $\angle$A and AC = PR. Which of the following conditions is true for $\triangle$PQR and $\triangle$ABC to be congruent?

Option 1: AB = PQ by SSS

Option 2: AB = PQ by SAS

Option 3: BC = QR by ASS

Option 4: $\angle$Q = $\angle$B by AAA

Team Careers360 23rd Jan, 2024

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

14 Views

Question : Select the correctly spelt word

Option 1: Amatuer

Option 2: Amatueer

Option 3: Amture

Option 4: Amateur

Team Careers360 23rd Jan, 2024

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.

79 Views

Question : The volume of a right circular cone having a base diameter of 14 cm is 196$\pi$ cm3. Find the perpendicular height of this cone

Option 1: 10 cm

Option 2: 12 cm

Option 3: 14 cm

Option 4: 8 cm

Team Careers360 21st Jan, 2024

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\

9 Views

Question : Directions: Study the following histogram of data related to literate people of different age groups and answer the questions given below.

The number of literate people in the age group of 20-35 years is:

Option 1: 2050

Option 2: 1250

Option 3: 2150

Option 4: 1700

Team Careers360 21st Jan, 2024

Correct Answer: 2050


Solution : The number of literate people in the age group of 20-25 = 800
The number of literate people in the age group of 25-30 = 650
The number of literate people in the age group of 30-35 = 600
The required answer = 800 +

21 Views

Question : If $(a+b+c)=17$, and $\left(a^2+b^2+c^2\right)=115$, find the value of $(a+b)^2+(b+c)^2+(c+a)^2$.

Option 1: 402

Option 2: 408

Option 3: 394

Option 4: 404

Team Careers360 25th Jan, 2024

Correct Answer: 404


Solution : Given,
$(a+b+c)=17$
Squaring both sides
$\left(a^2+b^2+c^2\right)+2(ac+bc+ab)=289$
⇒ $115+2(ab+bc+ac)=289$
⇒ $2(ab+bc+ac)=174$
Now, $(a+b)^2+(b+c)^2+(c+a)^2$
= $2(a^2+b^2+c^2)+2(ab+bc+ac)$
= $2\times 115+174$
= $230 + 174$
= $404$
Hence, the correct answer is 404.

139 Views

Question : Directions: In a certain code language, HUSTLE is written as SFHEOT, and BRIGHT is written as IIBTSG. How will TUNNEL be written in that language?

Option 1: NRTPEN

Option 2: NGTYPN

Option 3: NFTLVN

Option 4: RNLPED

Team Careers360 18th Jan, 2024

Correct Answer: NFTLVN


Solution : Given:
HUSTLE is written as SFHEOT, and BRIGHT is written as IIBTSG.

Interchange the position of the first and third, fourth and sixth letters, and write the opposite letter of the second and fifth letters of HUSTLE, to obtain the required code –


Thus, HUSTLE

12 Views

Question : Which of the following is used in the treatment of cancer?

Option 1: Physiotherapy

Option 2: Chemotherapy

Option 3: Electrotherapy

Option 4: Psychotherapy

Team Careers360 20th Jan, 2024

Correct Answer: Chemotherapy


Solution : The correct option is Chemotherapy.

Chemotherapy is a medicinal therapy that uses potent chemicals to kill the body's rapidly proliferating cells. Chemotherapy is most frequently used to treat cancer because cancer cells reproduce and develop considerably more quickly than the majority of body cells.

419 Views

Question : A bike is sold for 87,500 by allowing a discount of 44% on its marked price. The marked price (in Rs.) of the bike is:

Option 1: 1,56,100

Option 2: 1,58,225

Option 3: 1,56,250

Option 4: 1,55,500

Team Careers360 23rd Jan, 2024

Correct Answer: 1,56,250


Solution : Given: A bike is sold for 87,500 by allowing a discount of 44% on its marked price.
Let the marked price be $x$.
So, $x×\frac{100-44}{100} = 87500$
⇒ $x×\frac{56}{100}= 87500$
⇒ $x=\frac{8750000}{56}$
⇒ $x= 156250$
Hence, the correct answer is 1,56,250.

15 Views

Question : What is the set of ecosystems called?

Option 1: Stratosphere

Option 2: Hydrosphere

Option 3: Biome

Option 4: Atmosphere

Team Careers360 22nd Jan, 2024

Correct Answer: Biome


Solution : The correct option is Biome.

The collective name for the collection of ecosystems present in a particular geographic area or region is called a biome. A biome is an extensive, distinct ecological community characterised by its flora and climate and the types of organisms

3 Views

Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.

 I’ll take ____ now as I have another appointment somewhere else.

Option 1: Departure

Option 2: My leave

Option 3: Permission

Option 4: Leave from work

Team Careers360 24th Jan, 2024

Correct Answer: My leave


Solution : The correct answer is the second option.

The word leave is appropriate in this context to indicate that the person is departing or saying goodbye. So, the correct answer is leave.

The meanings of the other options are as follows:

Departure: It denotes

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