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9 Views

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row – 12, 19, 26
Second row – 28, 35, 42
Third row – 39, 46,?

Option 1: 49

Option 2: 63

Option 3: 53

Option 4: 75

Team Careers360 17th Jan, 2024

Correct Answer: 53


Solution : Given:
First row – 12, 19, 26
Second row – 28, 35, 42
Third row – 39, 46,?

In the above-given rows add 7 in the first number to obtain the second number and again add 7 in the second number to obtain the third

18 Views

Question : Let D and E be two points on the side BC of $\triangle ABC$ such that AD = AE and $\angle BAD = \angle EAC$. If AB=(3x+1) cm, BD = 9 cm, AC=34 cm and EC = (y + 1) cm, then the value of (x + y) is:

Option 1: 19

Option 2: 16

Option 3: 17

Option 4: 20

Team Careers360 9th Jan, 2024

Correct Answer: 19


Solution :
If two sides of a triangle are equal, then the angles opposite to these sides are equal.
An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Angle - Angle (AA) property:-
In two triangles, if two pairs

13 Views

Question : What should be the least number of years in which the Simple Interest on Rs. 2600 at $6\frac{2}{3}$% will be an exact number of rupees?

Option 1: 3

Option 2: 2

Option 3: 5

Option 4: 4

Team Careers360 12th Jan, 2024

Correct Answer: 3


Solution : Use the formula below,
Simple Interest = $\frac{\text{Principal×Rate×Time}}{100}$
Let the number of years be $x$.
Simple Interest on Rs. 2600 at the Rate of $6\frac{2}{3}$% interest is,
= $\frac{2600×\frac{20}{3}×x}{100}$
= $\frac{520x}{3}$
= $x$ should be 3, 6, 9..... for the exact number.
So, the least

14 Views

Question : Directions: U, V, W, X, and Y are sitting around a circular table facing away from the centre. U is sitting to the immediate left of W. X sits exactly in between V and Y. W and V are sitting next to each other. Who is sitting to the immediate left of U?

Option 1: X

Option 2: W

Option 3: Y

Option 4: V

Team Careers360 11th Jan, 2024

Correct Answer: Y


Solution : Given:
1. U is sitting to the immediate left of W.
2. X sits exactly in between V and Y.
3. W and V are sitting next to each other.

So, from the final seating arrangement, Y sits immediately left of U. Hence, the third

18 Views

Question : If $a= \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-2}}$, then the value of $(a^{2}-ax)$ is:

Option 1: 1

Option 2: 2

Option 3: –1

Option 4: 0

Team Careers360 18th Jan, 2024

Correct Answer: –1


Solution : To solve $(a^{2}-ax)$, we first need to calculate the value of $a$:
$a= \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-2}} \times \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}+\sqrt{x-2}} = \frac{2x+2\sqrt{x^2-4}}{4}= \frac{x+\sqrt{x^2-4}}{2}$
⇒ $2a=x+\sqrt{x^2-4}$
⇒ $2a-x=\sqrt{x^2-4}$
Squaring both sides, we have,
⇒ $4a^2+x^2-4ax=x^2-4$
⇒ $a^2-ax=-1$
Hence, the correct answer is –1.

4 Views

Question : The Mahabodhi Temple is an ancient Buddhist temple. It is situated in which state of India?

Option 1: Rajasthan

Option 2: Uttar Pradesh

Option 3: Kerala

Option 4: Bihar

Team Careers360 12th Jan, 2024

Correct Answer: Bihar


Solution : The correct answer is Bihar.

The Mahabodhi Temple, an ancient Buddhist temple, is in Bihar, India. Specifically, it is located in Bodh Gaya, a city known for being the place where Gautama Buddha is said to have attained enlightenment under the Bodhi Tree.

10 Views

Question : The slope of the line passing through the point (7, –2) and ($x$, 1) is $-\frac{3}{10}$. Find $x$.

Option 1: 4

Option 2: 2

Option 3: –4

Option 4: –3

Team Careers360 21st Jan, 2024

Correct Answer: –3


Solution : Given: Slope of the line passing through points (7, –2) and ($x$, 1) is $\frac{–3}{10}$.
Slope of the line joining $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by,
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$⇒\frac{-3}{10}=\frac{1-(-2)}{x-7}$
$⇒\frac{-3}{10}=\frac{3}{x-7}$
$⇒–3x+21=30$
$⇒–3x=9$
$⇒x=–3$
Hence, the correct answer is –3.

14 Views

Question : Who is the first Indian to have authored a published English novel?

Option 1: Bankim Chandra Chattopadhyay

Option 2: Jhumpa Lahiri

Option 3: Amitav Ghosh

Option 4: Rabindranath Tagore

Team Careers360 25th Jan, 2024

Correct Answer: Bankim Chandra Chattopadhyay


Solution : The correct option is Bankim Chandra Chattopadhyay.

Bankim Chandra Chattopadhyay, a renowned Indian author and poet, is credited with writing the first major Indian novel in English. His novel "Rajmohan's Wife" was serialized in the Indian Field magazine in 1864, making it the

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