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6 Views

Question : Directions: How many rectangles are there in the given figure?

Option 1: 9

Option 2: 10

Option 3: 11

Option 4: 12

Team Careers360 21st Jan, 2024

Correct Answer: 11


Solution : The given figure can be labeled as shown below –

There are a total of 11 rectangles in the above figure. They are ABCD, EFGH, IJKL, MFNQ, EMQR, EFNR, QNOD, NJPO, QJPD, RNGH, MFOD.

Hence, the third option is correct.

46 Views

Question : A television and a refrigerator were sold for Rs. 12,000 each. If the television was sold at a loss of 20% of the cost and the refrigerator at a gain of 20% of the cost, the entire transaction resulted in:

Option 1: no loss or gain

Option 2: loss of Rs. 1000

Option 3: gain of Rs. 1,000

Option 4: loss of Rs. 2,000

Team Careers360 22nd Jan, 2024

Correct Answer: loss of Rs. 1000


Solution : Let the cost price of the television be $x$ and the cost price of the refrigerator be $y$.
Given that the television was sold at a loss of 20% of the cost.
$⇒12000 = x - 0.20x = 0.80x$
$⇒x = \frac{12000}{0.80}

34 Views

Question : Select the incorrect statement about Gymnosperms.

Option 1: Gymnosperms are found as woody shrubs, trees or lianas and include no true aquatics and few epiphytes.

Option 2: Gymnosperms are seedless flowering plants.

Option 3: Gymnosperms are typically slow in terms of reproduction; up to a year may pass between pollination and fertilisation and seed maturation may require 3 years.

Option 4: Gymnosperms exhibit cones or strobili and naked seeds, but not flowers.

Team Careers360 15th Jan, 2024

Correct Answer: Gymnosperms are seedless flowering plants.


Solution : The correct answer is Gymnosperms are seedless flowering plants.

  • They consist of woody shrubs, trees, or lianas, with very few epiphytes and no true aquatics. The tallest, largest, and longest-living individual plants on Earth are within the gymnosperm family, which
12 Views

Question : Select the most appropriate option to fill in the blank.

Our breathing rate can change almost instantaneously in response to stress or ______.

Option 1: arousal

Option 2: fund

Option 3: difference

Option 4: attention

Team Careers360 21st Jan, 2024

Correct Answer: arousal


Solution : The correct choice is the first option.

Explanation: In the context of the sentence, the word "arousal" fits best. The sentence discusses changes in breathing rate in response to stress or arousal. Arousal refers to the state of being excited, stimulated, or activated, and

106 Views

Question : What is the smallest perfect square number that is completely divisible by 4, 6, 9, 12, and 15?

Option 1: 784

Option 2: 900

Option 3: 961

Option 4: 841

Team Careers360 24th Jan, 2024

Correct Answer: 900


Solution : Given numbers = 4, 6, 9, 12, and 15
LCM of 4, 6, 9, 12, and 15 = 180
From the above-given numbers: 784, 900, 961, 841, only 900 is divisible by 180.
Hence, the correct answer is 900.

269 Views

Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
5 : 21 :: ? : 252 :: 27 : 725

Option 1: 26

Option 2: 10

Option 3: 16

Option 4: 12

Team Careers360 18th Jan, 2024

Correct Answer: 16


Solution : Given:
5 : 21 :: ? : 252 :: 27 : 725

Subtract 4 from the square of the given number to obtain the missing number –
Like, 5 : 21→52 – 4 = 25 – 4 = 21
And, 27 : 725→272

23 Views

Question : If $\sin \theta \cos \theta=\frac{\sqrt{2}}{3}$,then the value of $\left(\sin ^6 \theta+\cos ^6 \theta\right)$ is:

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

Option 2: $\frac{4}{3}$

Option 3: $\frac{2}{3}$

Option 4: $\frac{5}{3}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{1}{3}$


Solution : Given: $\sin \theta \cos \theta=\frac{\sqrt{2}}{3}$
$\left(\sin ^6 \theta+\cos ^6 \theta\right)=(\sin^2 \theta +\cos^2 \theta)(\sin^4 \theta + \cos^4 \theta-\sin^2 \theta\cos^2 \theta)$
⇒ $\left(\sin ^6 \theta+\cos ^6 \theta\right)=(\sin^2 \theta +\cos^2 \theta)((\sin^2 \theta + \cos^2 \theta)^2-3\sin^2 \theta\cos^2 \theta)$
⇒ $\left(\sin ^6 \theta+\cos ^6 \theta\right)=(1)((1)^2-3(\frac{\sqrt{2}}{3})^2)$
⇒ $\left(\sin ^6 \theta+\cos ^6

13 Views

Question : Which of the following states has become India's first carbon-free state?

Option 1: Himachal Pradesh

Option 2: Madhya Pradesh

Option 3: Uttar Pradesh

Option 4: Maharashtra

Team Careers360 25th Jan, 2024

Correct Answer: Himachal Pradesh


Solution : The correct answer is Himachal Pradesh.

A city must use only renewable energy and eliminate all other non-renewable energy sources to achieve zero carbon emissions; thus, a zero-carbon city is one with a renewable energy economy. Himachal Pradesh wants to be the second carbon-free

16 Views

Question : What is the value of $\frac{49}{8} \times \frac{2}{3} \div \frac{98}{16} \times \frac{12}{4}$?

Option 1: 7

Option 2: 2

Option 3: 1

Option 4: 9

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : $\frac{49}{8} \times \frac{2}{3} \div \frac{98}{16} \times \frac{12}{4}$
$=\frac{49}{8} \times \frac{2}{3} \times \frac{16}{98} \times \frac{12}{4}$
$=2$
Hence, the correct answer is 2.

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