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25 Views

Question : If the altitude of a triangle is 8 cm and its corresponding base is 12 cm, then the area of the triangle will be:

Option 1: 96 cm2

Option 2: 48 cm2

Option 3: 84 cm2

Option 4: 24 cm2

Team Careers360 20th Jan, 2024

Correct Answer: 48 cm2


Solution : The area of a triangle,
$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
Given that the base of the triangle is 12 cm and the height (or the altitude) is 8 cm.
$\text{Area} = \frac{1}{2} \times 12 \, \text{cm} \times 8 \, \text{cm} =

9 Views

Question : Directions: By interchanging the two signs which of the following equations will not be correct?
+ and ×
I.15 + 5 ÷ 1 – 9 × 4 = 70
II.18 × 17 + 3 – 6 ÷ 2 = 133

Option 1: Neither I nor II

Option 2: Only II

Option 3: Both I and II

Option 4: Only I

Team Careers360 21st Jan, 2024

Correct Answer: Only II


Solution : Given:
+ and × are interchanged.
I.15 + 5 ÷ 1 – 9 × 4 = 70
II.18 × 17 + 3 – 6 ÷ 2 = 133

After interchanging the symbols the equation becomes –
I.15 × 5 ÷ 1 – 9 +

43 Views

Question : An article is listed at Rs. 2375. A man purchases it at two successive discounts of 50% and 25% and spends Rs. 165 on the repair of the article. If he sells the article at a profit of 62.5%, what is the selling price (in rupees) of the article?

Option 1: 1467.6

Option 2: 1492.6

Option 3: 1715.39

Option 4: 1460.6

Team Careers360 22nd Jan, 2024

Correct Answer: 1715.39


Solution : Marked price = Rs. 2375
Price after two successive discounts of 50% and 25%
= Rs. 2375 × $\frac{50}{100}$×$\frac{75}{100}$
= Rs. 890.625
Amount spent on the repair of the article = Rs. 165
So, cost price = Rs. 890.625 + Rs.165 = Rs. 1055.625
Profit

18 Views

Question : Select the most appropriate ANTONYM of the given word.
Profane

Option 1: Perverse

Option 2: Immaterial

Option 3: Divine

Option 4: Barnyard

Team Careers360 25th Jan, 2024

Correct Answer: Divine


Solution : The correct answer is the third option.

The word "profane" refers to showing disrespect or contempt for sacred things, especially religious beliefs or practices. The antonym "divine" represents qualities associated with the divine or sacred, often relating to God or a higher power.

The meanings

12 Views

Question : Select the INCORRECT formula from the following options.

Option 1: $\operatorname{cosec}^2 \theta-\cot ^2 \theta=1$

Option 2: $\sin ^2 \theta+\cos ^2 \theta=1$

Option 3: $\sec ^2 \theta+\cos ^2 \theta=1$

Option 4: $\sec ^2 \theta-\tan ^2 \theta=1$

Team Careers360 25th Jan, 2024

Correct Answer: $\sec ^2 \theta+\cos ^2 \theta=1$


Solution : $\sec^2 \theta = \frac{1}{\cos^2 \theta}$
But, $\sec ^2 \theta+\cos ^2 \theta\neq1$
Hence, the correct answer is $\sec ^2 \theta+\cos ^2 \theta=1$.

9 Views

Question : AJEYA WARRIOR-2020 is a joint military exercise between India and ______.

Option 1: Thailand

Option 2: South Korea

Option 3: UK

Option 4: USA

Team Careers360 24th Jan, 2024

Correct Answer: UK


Solution : The correct answer is the UK.

AJEYA WARRIOR-2020 is a joint military exercise between India and the United Kingdom. It is a bilateral military exercise in which both nations' military forces take part. The 7th edition of this exercise took place in April-May 2023. Konkan

15 Views

Question : $(113^2+ 115^2 + 117^2- 113×115 - 115×117 -117×113)$ is equal:

Option 1: 0

Option 2: 4

Option 3: 8

Option 4: 12

Team Careers360 23rd Jan, 2024

Correct Answer: 12


Solution : Use the formula:
$a^2 + b^2 + c^2 - ab - bc - ca = \frac{1}{2}((a-b)^2 + (b-c)^2 + (c-a)^2)$
Now, $(113^2+ 115^2 + 117^2- 113×115 - 115×117 -117×113)$
$=\frac{1}{2}[(113-115)^2 + (115-117)^2 + (117-113)^2]$
$=\frac{1}{2}[(-2)^2 + (-2)^2 + (4)^2]$
$=\frac{1}{2}(4 + 4 + 16)$
$=\frac{1}{2}(24)$

29 Views

Question : Shri Bismillah Khan was a famous player of musical instrument ______.

Option 1: Tabla

Option 2: Drum

Option 3: Shehnai

Option 4: Veena

Team Careers360 20th Jan, 2024

Correct Answer: Shehnai


Solution : The correct option is Shehnai.

Shri Bismillah Khan was a renowned Indian musician and master player of the shehnai, a traditional wind instrument. He was widely celebrated for his contributions to classical music and received numerous accolades, including the Bharat Ratna (2001), India's highest

34 Views

Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

(P) and the challenges faced in its

(Q) the report discusses

(R) the state of renewable energy

(S) implementation along with potential solution

Option 1: QSRP

Option 2: QRPS

Option 3: RQPS

Option 4: PQRS

Team Careers360 25th Jan, 2024

Correct Answer: QRPS


Solution : The correct choice is the second optionQRPS.

Explanation: The sentence begins with part Q, which introduces the action of the report. Part R logically follows as it provides the topic under discussion. Parts P and S then provide additional information about

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