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13 Views

Question : In a triangle MNO, XA, XB, and XC are perpendicular bisectors on sides MN, ON, and OM respectively intersecting each other at X. If $\angle \mathrm{NMO}=55°$, then what is the value of $\angle \mathrm{NXO}$?

Option 1: 130°

Option 2: 110°

Option 3: 95°

Option 4: 125°

Team Careers360 15th Jan, 2024

Correct Answer: 110°


Solution :

$\angle NXO$ is the angle made at the circumcenter of the triangle.
⇒ $\angle NXO = 2 × ∠NMO$
⇒ $∠NXO = 2 × 55°$
⇒ $∠NXO = 110°$
Hence, the correct answer is 110°.

17 Views

Question : The materials through which things cannot be seen are called _______.

Option 1: translucent materials

Option 2: transparent materials

Option 3: opaque materials

Option 4: pale materials

Team Careers360 19th Jan, 2024

Correct Answer: opaque materials


Solution : The correct option is opaque materials.

The opaque materials are the materials through which you cannot see any light. Concrete, wood and metals are examples of opaque materials. The transparent materials are those materials from which you can see clearly. The translucent materials are

11 Views

Question : In $\Delta$ABC, D is the mid-point of BC and G is the centroid. If GD = 5 cm then the length of AD is:

Option 1: 10 cm

Option 2: 12 cm

Option 3: 15 cm

Option 4: 20 cm

Team Careers360 17th Jan, 2024

Correct Answer: 15 cm


Solution :

In a triangle, the centroid divides the median into two segments in the ratio of 2 : 1.
Given that GD = 5 cm.
⇒ AG : GD = 2 : 1
⇒ AG = 2GD = 2 × 5 cm = 10 cm

43 Views

Question : Directions: In the following question, select the missing number from the given series.
98, 70, 42, 14, ?, – 42

Option 1: –10

Option 2: –14

Option 3: 0

Option 4: –15

Team Careers360 20th Jan, 2024

Correct Answer: –14


Solution : Given:
98, 70, 42, 14, ?, – 42

Subtract 28 from each number to obtain the required missing number in the series.
98 – 28 = 70; 70 – 28 = 42; 42 – 28 = 14; 14 – 28 = –14; –14 – 28

15 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

The earthy / fragrance of soil / after a first rain / is always refreshing.

Option 1: is always refreshing

Option 2: fragrance of soil

Option 3: The earthy

Option 4: after a first rain

Team Careers360 23rd Jan, 2024

Correct Answer: after a first rain


Solution : The error lies in the fourth option.

The sentence contains the wrong use of the article a, as it should be replaced with the to make the sentence grammatically accurate. The definite article the is used to refer to the

127 Views

Question : Study the given pie chart carefully and answer the following question. If the scholarship has to be paid out of the donation fund, then what is the percentage of the donation fund used for this purpose (rounded off to two decimal places)?
The entire fund that the school gets from different sources is equal to Rs. 10 lakh

 

Option 1: 74.29%

Option 2: 72.15%

Option 3: 80.25%

Option 4: 75.25%

Team Careers360 14th Jan, 2024

Correct Answer: 74.29%


Solution : Given:
The entire fund that the school gets from different sources is equal to Rs.10 lakh.
The scholarship has to be paid out of the donation fund.
The donation fund is 35% of the total fund = $1000000×\frac{35}{100}=350000$
For scholarship purposes, 26% of funds are

15 Views

Question : If $x=1-y$ and $x^2=2-y^2$, then what is the value of $xy$?

Option 1: $1$

Option 2: $2$

Option 3: $-\frac{1}{2}$

Option 4: $–1$

Team Careers360 14th Jan, 2024

Correct Answer: $-\frac{1}{2}$


Solution : Given: $x = 1-y$
⇒ $x+y = 1$
Squaring both sides, we get,
⇒ $x^2+y^2+2xy=1$ 
Using $x^2 = 2-y^2$
⇒ $2-y^2+y^2+2xy=1$
⇒ $2+2xy =1$
$\therefore xy = -\frac{1}{2}$
Hence, the correct answer is $-\frac{1}{2}$.

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