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13 Views

Question : Wood's dispatch sent by the Court of Directors of the East India Company in 1854 was related to_____.

Option 1: Famine

Option 2: Military

Option 3: Textiles

Option 4: Education

Team Careers360 16th Jan, 2024

Correct Answer: Education


Solution : The correct answer is education.

Wood's dispatch is the Magna Carta of English education in India. He supported the use of vernacular languages in primary schools, anglo-vernacular languages in high schools, and English for college students. Sir Charles Wood had a significant role in

25 Views

Question : A shopkeeper purchased a chair marked at Rs. 600 at two successive discounts of 15% and 20% respectively. He spent Rs. 28 on transportation and sold the chair for Rs. 545. His gain percentage was:

Option 1: 25%

Option 2: 30%

Option 3: 35%

Option 4: 20%

Team Careers360 17th Jan, 2024

Correct Answer: 25%


Solution : (Single equivalent discount = $(a+b-\frac{a\:×\:b}{100}$)%, where $a$% and $b$% are successive discounts.)
Single equivalent discount = $(15+20-\frac{15\:×\:20}{100}$)= 32%
After two successive discount cost price = 600 $\times$ 68% = 408
Total cost = 408 + 28 = 436
Selling price = 545
Gain percent =

27 Views

Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.

Option 1: GCKD

Option 2: UQYR

Option 3: XOTP

Option 4: NJRK

Team Careers360 20th Jan, 2024

Correct Answer: XOTP


Solution : Let's check each option –
First option: GCKD; G – 3 = D; C + 8 = K; The difference between the first and the last letter is equal to 3 and the difference between the middle letters is equal to 8.
Second option: UQYR;

14 Views

Question : Find the total surface area of a cube whose volume is 343 m³.

Option 1: 186 m²

Option 2: 294 m²

Option 3: 196 m²

Option 4: 210 m²

Team Careers360 18th Jan, 2024

Correct Answer: 294 m²


Solution : Given: Volume of a cube = 343 m³
Let $a$ be the side of the cube.
So, $a^3$ = 343 m³
⇒ $a$ = $\sqrt[3]{343}$ = 7 m
Now, the total surface area of a cube
= $6a^2$
= $6×7^2$
= 294 m2

13 Views

Question : Directions: In the following question, find out the odd number from the given alternatives.

Option 1: 484

Option 2: 529

Option 3: 625

Option 4: 566

Team Careers360 22nd Jan, 2024

Correct Answer: 566


Solution : Let's check the given options
First option: 484; (22)2 = 484
Second option: 529; (23)2 = 529
Third option: 625; (25)2 = 625
Fourth option: 566; 566 is not a square of any number.

Therefore, 566 is the odd one out as

13 Views

Question : The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at a speed of 12 km/hr completes one round in 8 minutes, then the area of the park is:

Option 1: 1,53,650 sq. metres

Option 2: 1,35,600 sq. metres

Option 3: 1,53,600 sq. metres

Option 4: 1,56,300 sq. metres

Team Careers360 18th Jan, 2024

Correct Answer: 1,53,600 sq. metres


Solution : Given:
The ratio between the length and the breadth of a rectangular park is 3 : 2.
Let length be $3x$, breadth be $2x$.
A man cycling along the boundary of the park at a speed of 12 km/hr completes one round in

11 Views

Question : Which article of the Constitution of India deals with the recognition of the right to education as a fundamental right?

Option 1: Article 300A

Option 2: Article 20

Option 3: Article 33

Option 4: Article 21A

Team Careers360 19th Jan, 2024

Correct Answer: Article 21A


Solution : The correct answer is Article 21A.

The right to education in India is recognised as a fundamental right under Article 21A of the Indian Constitution. This article was inserted by the 86th Amendment Act of 2002 and states that the state shall provide

13 Views

Question : Directions: In the following question, select the one that is different from the other three alternatives.

Option 1: 166

Option 2: 131

Option 3: 137

Option 4: 163

Team Careers360 22nd Jan, 2024

Correct Answer: 166


Solution : Let's check the options –
First option: 166; The number is even.
Second option: 131; The number is odd.
Third option: 137; The number is odd.
Fourth option: 163; The number is odd.

So, the first option differs from the other three options as it

17 Views

Question : The centroid of an equilateral triangle $ABC$ is $G$ and $AB = 10 \:\operatorname{ cm}$. The length of $AG$ is:

Option 1: $3\frac{1}{3} \:\operatorname{ cm}$

Option 2: $\frac{10}{\sqrt3} \:\operatorname{ cm}$

Option 3: $10\sqrt3 \:\operatorname{ cm}$

Option 4: $\frac{1}{\sqrt3} \:\operatorname{ cm}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{10}{\sqrt3} \:\operatorname{ cm}$


Solution :
Given $AB =BC=AC= 10\ \text{cm}$
Let $AD$ be the median and $G$ be the centroid of an equilateral triangle $ABC$.
$G$ divides AD in 2 : 1 ratio.
$⇒AG=\frac{2}{2+1}×AD$
Also, D divides BC into equal parts.
So, $BD=DC=\frac{10}{2}=5\ \text{cm}$
In $\triangle ABD$, from

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