Staff Selection Commission Combined Higher Secondary Level Exam
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
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
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
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,
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
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
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
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
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)
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,
Question : The world's wettest continent is :
Option 1: Asia
Option 2: Europe
Option 3: North America
Option 4: South America
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.
Question : The main source of Naphthalene is
Option 1: Charcoal
Option 2: Camphor
Option 3: Coal-tar
Option 4: Diesel
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
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: $88\frac{8}{9}$%
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
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
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.
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
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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