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28 Views

Question : The average of a set of 15 consecutive even numbers is 64. What is the difference between the largest and the smallest numbers belonging to this set?

Option 1: 26

Option 2: 27

Option 3: 25

Option 4: 28

Team Careers360 23rd Jan, 2024

Correct Answer: 28


Solution : Use : 
an = a + (n - 1)d, where
an = nth term of largest term of A.P
a = first term, n = number of terms, d = common difference
According to the question
n = 15 and  d =

10 Views

Question : The sum of a non-zero number and twice its reciprocal is $\frac{33}{4}$. Find the number.

Option 1: 9

Option 2: 10

Option 3: 11

Option 4: 8

Team Careers360 23rd Jan, 2024

Correct Answer: 8


Solution : Let the non-zero integer be $x$.
Given: The sum of a non-zero number and twice its reciprocal is $\frac{33}{4}$.
$\Rightarrow x+\frac{2}{x}=\frac{33}{4}$
$\Rightarrow 4x^2-33x+8=0$
$\Rightarrow 4x^2-32x-x+8=0$
$\Rightarrow 4x(x-8)-(x-8)=0$
$\Rightarrow (4x-1)(x-8)=0$
$\Rightarrow (4x-1)=0 \;or\;(x-8)=0$
$\therefore x=8, \frac{1}{4}$
Hence, the correct answer is 8.

11 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as

24 Views

Question : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$ can be expressed as:

Option 1: $(x+y)^4-x^4$

Option 2: $(x+y)^4-y^4$

Option 3: $(x-y)^4-x^4$

Option 4: $x^4-(x-y)^4$

Team Careers360 24th Jan, 2024

Correct Answer: $x^4-(x-y)^4$


Solution : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$
$=2xy^3 + 2xy^3 - 2x^2y^2 - 4x^2y^2 + 4x^3y- y^4 $
$=2xy^3 - 2x^2y^2 - y^4 + 4x^3y + 2xy^3 - 4x^2y^2$
$=-y^2(-2xy + 2x^2 + y^2) + 2xy (2x^2 + y^2 - 2xy)$
$=(2xy - y^2) (2x^2

56 Views

Question : The value of (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13) is:

Option 1: 6

Option 2: 0

Option 3: –3

Option 4: 3

Team Careers360 25th Jan, 2024

Correct Answer: 0


Solution : Given: (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13)
Using the BODMAS rule we get,
= 30 ÷ 2 – 12 + 16 × 4 – 28 + 13 (–3)
= 15 – 12 +

330 Views

Question : From the top of an upright pole $24 \sqrt{3}$ feet high, the angle of elevation of the top of an upright tower was $60^{\circ}$. If the foot of the pole was 60 feet away from the foot of the tower, how tall (in feet) was the tower?

Option 1: $84 \sqrt{3}$

Option 2: $36\sqrt{3}$

Option 3: $44\sqrt{3}$

Option 4: $60\sqrt{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $84 \sqrt{3}$


Solution :
Here, AB = $24\sqrt3$ feet = PQ
Distance, AP = 60 feet
Here, AP = BQ = 60 feet
In $\triangle$BQR,
$\tan 60° = \frac{RQ}{BQ}$
⇒ $\sqrt3=\frac{RQ}{60}$
$\therefore RQ = 60\sqrt3$
Height of the tower = RP = RQ + PQ = $60\sqrt3+24\sqrt3=84\sqrt3$ feet

9 Views

Question : Select the correct passive form of the given sentence.

What action will you take in the present circumstances?

Option 1: What action can be taken by you in the present circumstances?

Option 2: What action will be took by you in the present circumstances?

Option 3: What action may be taken by you in the present circumstances?

Option 4: What action will be taken by you in the present circumstances?

Team Careers360 25th Jan, 2024

Correct Answer: What action will be taken by you in the present circumstances?


Solution : The correct answer is the fourth option.

Explanation:

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence

23 Views

Question : Six tables and twelve chairs were bought for Rs. 7,800. If the average price of a table is Rs. 750, then the average price of a chair would be:

Option 1: Rs. 250

Option 2: Rs. 275

Option 3: Rs. 150

Option 4: Rs. 175

Team Careers360 22nd Jan, 2024

Correct Answer: Rs. 275


Solution : Average price of a table = Rs. 750
Price of six tables = 750 × 6 = Rs. 4500
Money spent on chair = Total money spent – Money spent on table
Money spent on chair = 7800 – 4500 = Rs. 3300
Thus,

7 Views

Question : Directions: Which answer figure will complete the pattern in the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the first option is correct.

528 Views

Question : Who among the following performing artists bagged the Best Actress award for Mena Gurjari?

Option 1: Sonal Mansingh

Option 2: Sitara Devi

Option 3: Shovana Narayana

Option 4: Mallika Sarabhai

Team Careers360 24th Jan, 2024

Correct Answer: Mallika Sarabhai


Solution : The correct answer is Mallika Sarabhai.

Mallika Sarabhai is an Indian classical dancer, choreographer, actor, writer, and social activist best known for her advocacy of the arts as a means of social change. While completing her schooling, Sarabhai became a performing artist and gained

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