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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : $O$ is the orthocentre of triangle $ABC$, and if $\angle BOC = 110^\circ$, then $\angle BAC$ will be:

Option 1: $110^\circ$

Option 2: $70^\circ$

Option 3: $100^\circ$

Option 4: $90^\circ$

Team Careers360 16th Jan, 2024

Correct Answer: $70^\circ$


Solution :
Given that $O$ is the orthocentre of triangle $ABC$, and $\angle BOC = 110^\circ$
Join OF, OD, and OE.
In quadrilateral $AFOE,$
$\angle AFO =\angle AEO = 90^\circ$
$\angle FOE =\angle BOC = 110^\circ$ (Vertically opposite angle)
The sum of four angles of a quadrilateral

13 Views

Question : Which one of the following is the most appropriate reason for inequalities in income ?

 

Option 1: Racial factors 

Option 2: Lack of opportunities 

Option 3: Inheritance from family environment 

Option 4: Differences in ability

Team Careers360 13th Jan, 2024

Correct Answer: Lack of opportunities 


Solution : The Correct Answer is-  Lack of opportunities 

There is a current income gap between classes because there was not enough employment created in a timely manner. The economic gap between the wealthy and the poor widens as more people lose their jobs. The

18 Views

Question : Which of the following comes under the Platyhelminthes classification under the Animalia?

Option 1: Sycon

Option 2: Leech

Option 3: Wuchereria

Option 4: Tapeworm

Team Careers360 23rd Jan, 2024

Correct Answer: Tapeworm


Solution : The correct answer is Tapeworm.

Platyhelminthes, commonly known as flatworms, are a group of animals belonging to the Kingdom Animalia. Among them, tapeworms are a specific type classified under the class Cestoda. These creatures are recognised for their flat, ribbon-like bodies.

80 Views

Question : Directions: In a certain code language, HPRM is written as OWYT, and JRTO is written as QYAV, How will ELNJ be written in that language?

Option 1: LTVQ

Option 2: LSUQ

Option 3: LQSP

Option 4: LRTP

Team Careers360 25th Jan, 2024

Correct Answer: LSUQ


Solution : Given:
HPRM is written as OWYT, and JRTO is written as QYAV.

Add 7 to the place value of each letter of HPRM to obtain the required code –
HPRM→H + 7 = O; P + 7 = W; R + 7 = Y; M

22 Views

Question : Which of the following Mughal emperors wrote their autobiographies?

Option 1: Shah Alam and Farrukhsiyar

Option 2: Babur and Jahangir

Option 3: Jahangir and Shah Jahan

Option 4: Akbar and Aurangzeb

Team Careers360 24th Jan, 2024

Correct Answer: Babur and Jahangir


Solution : The correct option is Babur and Jahangir.

Only two Mughal rulers penned autobiographies: Babur, the Mughal Empire's founder and the fourth emperor, Jahangir. The Baburnama, his autobiography, is a chronicle of his life and times. The fourth Mughal emperor, Jahangir

81 Views

Question : The mean high temperature of the first four days of a week is 25°C whereas the mean of the last four days is 25.5°C. If the mean temperature of the whole week is 25.2°C, then the temperature on the 4th day is:

Option 1: 25.5°C

Option 2: 25°C

Option 3: 25.2°C

Option 4: 25.6°C

Team Careers360 12th Jan, 2024

Correct Answer: 25.6°C


Solution : Total temperature for the first four days = 4 × 25°C = 100°C
Total temperature for the last four days = 4 × 25.5°C = 102°C
Total temperature for the week = 7 × 25.2°C = 176.4°C
Total temperature for the first and last four

13 Views

Question : If $x$ = $y$ = $z$, then $\frac{\left (x+y+z \right )^{2}}{x^{2}+y^{2}+z^{2}}$ is equal to:

Option 1: 4

Option 2: 2

Option 3: 3

Option 4: 1

Team Careers360 11th Jan, 2024

Correct Answer: 3


Solution : According to the question, $x$ = $y$ = $z$
We can put $x$ at the place of $y$ and $z$.
Given equation:
$\frac{\left (x+y+z \right )^{2}}{x^{2}+y^{2}+z^{2}}$ = $\frac{(x+x+x)^2}{x^2+x^2+x^2}$
⇒ $\frac{\left (x+y+z \right )^{2}}{x^{2}+y^{2}+z^{2}}$ = $\frac{(3x)^2}{3x^2}$
⇒ $\frac{\left (x+y+z \right )^{2}}{x^{2}+y^{2}+z^{2}}$ = $\frac{9x^2}{3x^2}$
⇒ $\frac{\left (x+y+z

146 Views

Question : Directions: Select the pair of letter clusters that follows the same pattern as that followed by the two sets of the pair of letter clusters given below. Both pairs of letter clusters follow the same pattern.
EKM : DIJ
LPT : KNQ

Option 1: ABC : XYZ

Option 2: PWZ : OUW

Option 3: PJQ : NHO

Option 4: JMR : LOT

Team Careers360 17th Jan, 2024

Correct Answer: PWZ : OUW


Solution : Given:
EKM : DIJ; LPT : KNQ

Subtract 1, 2, and 3 from the place value of the first, second, and third letters respectively, to obtain the second letter clusters.
EKM→E – 1 = D; K – 2 = I; M – 3

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