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13 Views

Question : Which National Waterway runs from Haldia to Prayagraj?

Option 1: National Waterway 2

Option 2: National Waterway 1

Option 3: National Waterway 3

Option 4: National Waterway 4

Team Careers360 20th Jan, 2024

Correct Answer: National Waterway 1


Solution : The correct answer is National Waterway 1.

In 1986, the river system comprising the Ganga, Bhagirathi, and Hooghly between Haldia (Sagar) and Prayagraj was designated as a National Waterway-1 (NW-1). With a length of 1620 km, National Waterway 1 is the longest

4 Views

Question : Directions: From the given option figures, select the one in which the question figure is embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The question figure is embedded only in the fourth option figure.

Hence, the fourth option is

27 Views

Question : AB is a chord of a circle having a radius of 1.7 cm. If the distance of this chord AB from the centre of the circle is 0.8 cm, then what is the length (in cm) of the chord AB?

Option 1: 4

Option 2: 1

Option 3: 3

Option 4: 2

Team Careers360 21st Jan, 2024

Correct Answer: 3


Solution :
OB = 1.7 cm
OC = 0.8 cm
In $\triangle$ OCB,
$OB^2 = OC^2 + CB^2$
⇒ $1.7^2 = 0.8^2 + CB^2$
⇒ $2.89 = 0.64 + CB^2$
⇒ $CB^2 = 2.89 – 0.64 = 2.25$
$\therefore$ $CB = 1.5$ cm
AB = 2 ×

14 Views

Question : The area of triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:

Option 1: 8 sq. units

Option 2: 13 sq. units

Option 3: 20 sq. units

Option 4: 40 sq. units

Team Careers360 25th Jan, 2024

Correct Answer: 20 sq. units


Solution : Let (x1, y1) = (0, 8)
(x2, y2) = (0, 0)
(x3, y3) = (5, 0)
Area of a triangle with vertices (x1, y1), (x2, y2),

9 Views

Question : Simplify the following expression.
12 + 2.5 + (1.5 of 4) – 2.6

Option 1: 17.9

Option 2: 18.9

Option 3: 18.1

Option 4: 17.1

Team Careers360 21st Jan, 2024

Correct Answer: 17.9


Solution : 12 + 2.5 + (1.5 of 4) – 2.6
= 12 + (6) - 0.1
= 18 - 0.1
= 17.9
Hence, the correct answer is 17.9.

32 Views

Question : A sum of Rs. 600 becomes Rs. 840 at simple interest in 4 years. In how many years will the sum of Rs. 1500 amount to Rs. 2100 at the same rate of simple interest?

Option 1: 5 years

Option 2: 4 years

Option 3: 2 years

Option 4: 3 years

Team Careers360 19th Jan, 2024

Correct Answer: 4 years


Solution : Given,
P = Rs. 600, A = Rs. 840, and T = 4 years,
Simple interest, SI = Amount – Principal
we can find the rate of interest (R):
⇒ R = $\frac{SI×100}{P×T}$​
⇒ R = $\frac{840−600​}{600×4}×100$
⇒ R = $\frac{240​}{2400}×100$
⇒ R =

18 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error."

Kalidas is (1) / a Shakespeare (2) / of India. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 19th Jan, 2024

Correct Answer: (2)


Solution : The error lies in the second part of the sentence.

Explanation: The article "a" should be replaced with "the" in the sentence, after the noun, that is, Shakespeare, a well-known personality in English literature. So, the definite article "the" should be used here to

18 Views

Question : If $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$, and $x>1$, what is the value of $\left(x^6-\frac{1}{x^6}\right) ?$

Option 1: $22970 \sqrt{23}$

Option 2: $23030 \sqrt{23}$

Option 3: $23060 \sqrt{23}$

Option 4: $22960 \sqrt{23}$

Team Careers360 17th Jan, 2024

Correct Answer: $23030 \sqrt{23}$


Solution : Given, $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$
Squaring both sides, we get,
$\left(x+\frac{1}{x}\right)^2=(5 \sqrt{2})^2$
⇒ $x^2+\frac{1}{x^2}+2\times x\times \frac{1}{x}=25\times 2$
⇒ $x^2+\frac{1}{x^2}+2=50$
⇒ $x^2+\frac{1}{x^2}=50-2$
⇒ $x^2+\frac{1}{x^2}=48$
Subtracting 2 from both sides, we get,
⇒ $(x-\frac{1}{x})^2=48-2$
⇒ $(x-\frac{1}{x})^2=46$
⇒ $(x-\frac{1}{x})=\sqrt{46}$
Now consider, $\left(x^6-\frac{1}{x^6}\right)$
We know, $a^2-b^2=(a-b)(a+b)$
$=(x^3+\frac{1}{x^3})(x^3-\frac{1}{x^3})$
Also, $a^3+b^3=(a+b)(a^2-ab+b^2)$ and

6 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

The scientific study of the behaviour, structure, physiology, classification and distribution of animals.

Option 1: Zoology

Option 2: Archaeology

Option 3: Petrology

Option 4: Ecology

Team Careers360 20th Jan, 2024

Correct Answer: Zoology


Solution : The correct choice is the first option.

Explanation:

The given group of words refers to the systematic study of animals, encompassing various aspects such as behaviour, structure, physiology, classification, and distribution. The term that precisely encapsulates this scientific discipline is zoology. It is the

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