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22 Views

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

Option 1: 22

Option 2: 21

Option 3: 16

Option 4: 24

Team Careers360 27th Jan, 2024

Correct Answer: 22


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

In the above-labelled figure, there are a total of 22 triangles. They are AKM, ADH, HNM, HEA, HNO, HEF, HMO, HAF, FOP, FHI, FPQ, FIJ, FOQ, FHJ, JRQ, JGF, JRS, JGB, JQS, JFB, BSL, BJC.

17 Views

Question : The Finance Commission:

Option 1: draws up five-year plans 

Option 2: formulates monetary policy

Option 3: recommends pay revision of central government employees

Option 4: adjudicates on the sharing of resources between the centre and states

Team Careers360 27th Jan, 2024

Correct Answer: recommends pay revision of central government employees


Solution : The correct option is to recommend pay revision for central government employees.

A constitutional authority in India called the Finance Commission is in charge of advising how tax income should be split between the Union and state governments.

11 Views

Question : In which of the following states in Jog Falls located?

Option 1: Orissa

Option 2: Kerela

Option 3: Andhra Pradesh

Option 4: Karnataka

Team Careers360 26th Jan, 2024

Correct Answer: Karnataka


Solution : The correct option is - Karnataka

In the Shimoga district of Karnataka's Western Ghats, Jog Falls is a waterfall on the Sharavathi River. It is India's second-highest plunge waterfall. It is a segmented waterfall that changes its form depending on the time of year and

9 Views

Question : Which among the following is India’s first indigenously developed COVID-19 vaccine?

Option 1: Sputnik V

Option 2: Covishield

Option 3: COVAXIN

Option 4: Novavax

Team Careers360 26th Jan, 2024

Correct Answer: COVAXIN


Solution : The correct option is COVAXIN.

India's first indigenously developed COVID-19 vaccine is Covaxin. It was developed by Bharat Biotech in collaboration with the Indian Council of Medical Research (ICMR) and the National Institute of Virology (NIV). Covaxin received emergency use authorisation in India and played

11 Views

Question : Directions: Which of the following pieces will fit in the figure given below?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 26th Jan, 2024

Correct Answer:


Solution : Because there is no restriction on the rotation of the figure, we will check all possible orientations of the option figures to determine which one may fit in the question figure. By comparison of all the option figures, only the fourth option figure is embedded in

69 Views

Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?

Option 1: 2 : 15

Option 2: 5 : 16

Option 3: 3 : 16

Option 4: 4 : 15

Team Careers360 27th Jan, 2024

Correct Answer: 3 : 16


Solution : Mean proportion of 1.6 and 3.6
$=\sqrt{ab}=\sqrt{1.6\times 3.6}=2.4$
Now, the third proportion of 5 and 8
$=\frac{b^2}{a}=\frac{8^2}{5}=\frac{64}{5}$
$\therefore$ Ratio of mean proportion to third proportion = $2.4:\frac{64}{5}$ = 12 : 64 = 3 : 16
Hence, the correct answer is 3 : 16.

20 Views

Question : 42 boys can complete a piece of work in 20 days working 8 hours per day. In how many days can 14 boys complete the same work, each boy working 12 hours per day?

Option 1: 39 days

Option 2: 40 days

Option 3: 41 days

Option 4: 42 days

Team Careers360 27th Jan, 2024

Correct Answer: 40 days


Solution : Let the number of days be $D$ for 14 boys working 12 hours per day.
Use the formula: $M_1D_1H_1= M_2D_2H_2$
Where $M_1$ and $M_2$ are persons, $D_1$ and $D_2$ are days and $H_1, H_2$ are hours per day.
⇒ 42 × 20 × 8

17 Views

Question : The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [Use $\pi=\frac{22}{7}$]

Option 1: 112 m2

Option 2: 154 m2

Option 3: 122 m2

Option 4: 176 m2

Team Careers360 27th Jan, 2024

Correct Answer: 176 m2


Solution : Given:
Original length of rope = 9 m
The new length of rope = 5 m
(Length of rope taken as the radius of the circle)
So,
Old area = $\pi (9^{2}) = 81\pi $
New area =  $\pi (5^{2}) = 25\pi $

40 Views

Question : DE is tangent to the circumcircle of $\triangle$ABC at the vertex A such that $DE \parallel BC$. If AB = 17 cm, then the length of AC is equal to:

Option 1: 16 cm

Option 2: 16.8 cm

Option 3: 17.3 cm

Option 4: 17 cm

Team Careers360 27th Jan, 2024

Correct Answer: 17 cm


Solution :
Given: DE || BC and AB = 17 cm.
From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB
Also, $\angle$DAB = $\angle$ABC (Alternate angle)
So, $\angle$ACB = $\angle$ABC
⇒ AB = AC = 17 cm
Hence, the correct answer is 17 cm.

48 Views

Question : Directions: Six regular hexagons of side 5 cm are joined together to form the figure given below. What is the perimeter of the figure?

Option 1: 210

Option 2: 180

Option 3: 120

Option 4: 240

Team Careers360 26th Jan, 2024

Correct Answer: 120


Solution : Given:
The side of a regular hexagon is 5cm.

The perimeter of a given figure(P) = (Total length of the external boundary) + (Total length of the internal boundary)
P = (AB + BC + CD + DE + EF + FG + GH +

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