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Staff Selection Commission Combined Higher Secondary Level Exam

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13 Views

Question : If $a^4+\frac{1}{a^4}=194$, then what is the value of $a^3+\frac{1}{a^3} ?$

Option 1: 44

Option 2: 52

Option 3: 48

Option 4: 50

Team Careers360 25th Jan, 2024

Correct Answer: 52


Solution : Given: $a^4+\frac{1}{a^4}=194$
Adding 2 both sides, we get:
⇒ $a^4+\frac{1}{a^4}+2=194+2$
Now,
⇒ $(a^2+\frac{1}{a^2})^2=14^2$
⇒ $(a^2+\frac{1}{a^2})=14$
Again, adding 2 both sides, we get:
⇒ $a^2+\frac{1}{a^2}+2=14+2$
⇒ $(a+\frac{1}{a})^2=4^2$
⇒ $a+\frac{1}{a}=4$
Now, cubing both sides, we get:
$a^3+\frac{1}{a^3}+3×a×\frac{1}{a}(a+\frac{1}{a})=64$
⇒ $a^3+\frac{1}{a}^3+3\times 4 = 64$
⇒ $a^3+\frac{1}{a^3}=52$
Hence, the correct

43 Views

Question : Directions: In a certain code language, LRUP is written as RXAV and CILG is written as IORM. How will HNQL be written in that language?

Option 1: MSVP

Option 2: NTWR

Option 3: NSVR

Option 4: NTVR

Team Careers360 25th Jan, 2024

Correct Answer: NTWR


Solution : Given:
LRUP is written as RXAV –

Add 6 to the positional value of each letter of LRUP to obtain the required code –
L + 6 = R; R + 6 = X; U + 6 = A; P + 6 = V
Thus,

29 Views

Question : Two trains that are 125 m and 99 m in length, respectively, are running in opposite directions at the speeds of 40 km/h and 32 km/hr, respectively. In how much time will they be completely clear of each other from the moment they meet?

Option 1: 10.2 sec

Option 2: 11.2 sec

Option 3: 9.2 sec

Option 4: 12.2 sec

Team Careers360 25th Jan, 2024

Correct Answer: 11.2 sec


Solution : The total distance to be covered = 125 m + 99 m = 224 m
The relative speed of the two trains when they are moving in opposite directions is the sum of their speeds.
The relative speed = 40 km/h + 32 km/h

11 Views

Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.

Three Indian ad agencies have __ awards at the international competition.

Option 1: obtained

Option 2: attained

Option 3: bagged

Option 4: procured

Team Careers360 25th Jan, 2024

Correct Answer: bagged


Solution : The correct choice is the third option.

Other words may seem synonymous with "won" or "received" in the context of awards, but "bagged" is a commonly used term in this context that conveys that Indian ad agencies have successfully secured the awards.

Therefore, the complete

17 Views

Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.

The conversation (1) / we are having is completely (2) / out of the main topic. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 25th Jan, 2024

Correct Answer: (3)


Solution : The error lies in the third part of the sentence.

The phrase "out of" should be replaced with "off". "Off-topic" means something which is not related to the matter being discussed, and "off the main topic" is the correct usage in this sentence.

Therefore,

29 Views

Question : The world's wettest continent is :

Option 1: Asia

Option 2: Europe

Option 3: North America

Option 4: South America

Team Careers360 25th Jan, 2024

Correct Answer: South America


Solution : The correct answer is South America. 

South America is the wettest and Australia is the driest continent in the world. A low pressure region is formed between the Northern and Southern Hemisphere because of the convergence of the trade winds of the both hemispheres.

15 Views

Question : The main source of Naphthalene is 

Option 1: Charcoal

Option 2: Camphor

Option 3: Coal-tar

Option 4: Diesel

Team Careers360 25th Jan, 2024

Correct Answer: Coal-tar


Solution : The correct option is - Coal-tar

Either petroleum distillation or the extraction of coal tar yield naphthalene.  It serves as a pest deterrent and pesticide. Additionally, it is employed in the production of fuels, dyes, resins, and polymers. In 1948, naphthalene was approved for use

9 Views

Question : Directions: Study the following histogram of marks in mathematics (out of 50) of students in a class and answer the following question.

The percentage of number of passed students is (31 is the pass marks):

Option 1: $85\frac{8}{9}$%

Option 2: $86\frac{8}{9}$%

Option 3: $87\frac{8}{9}$%

Option 4: $88\frac{8}{9}$%

Team Careers360 25th Jan, 2024

Correct Answer: $88\frac{8}{9}$%


Solution : The total number of students in the class = 15 + 20 + 40 + 50 + 10 = 135
The number of the successful students = 20 + 40 + 50 + 10 = 120
$\therefore$ The percentage of the number of passed students

4 Views

Question : Directions: Study the double bar graph given below and answer the question.

The class having the maximum number of participants in the exhibition is:

Option 1: Class IX

Option 2: Class VIII

Option 3: Class VII

Option 4: Class VI

Team Careers360 25th Jan, 2024

Correct Answer: Class IX


Solution : As per the given graph,
Class IX has the maximum number of participants in the exhibition with 75 students.
Hence, the correct answer is Class IX.

11 Views

Question : Directions: If H is the daughter of R, R is the father of S, S is the son of T, and T is the daughter of N, how is H related to N?

Option 1: Daughter's daughter

Option 2: Niece

Option 3: Daughter

Option 4: Daughter-in-law

Team Careers360 25th Jan, 2024

Correct Answer: Daughter's daughter


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, H is N's daughter's daughter (granddaughter). Hence, the first

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