Staff Selection Commission Combined Graduate Level Exam
Question : In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg to earn a profit of 20% by selling the mixture at Rs. 54 per kg?
Option 1: 3 : 5
Option 2: 4 : 7
Option 3: 5 : 8
Option 4: 2 : 3
Correct Answer: 3 : 5
Solution :
The cost price of the mixture $=\frac{100}{100+20}×54=\frac{100}{120}×54=45$ Using the rule of alligation, we get the desired ratio. (48 – 45) : (45 – 40) = 3 : 5 Hence, the correct answer is 3 : 5.
Question : If (a – b) = 1, what is the value of (a3 – b3)?
Option 1: a2 + ab + b2
Option 2: (a + b)2 + 3ab
Option 3: a2 – ab + b2
Option 4: a2 + 2ab + b2
Correct Answer: a2 + ab + b2
Solution : Given: a – b = 1 We know the algebraic identity, a3 – b3 = (a – b)(a2 + ab + b2) Substitute the given value in the above formula and we get, ⇒
Question : If the HCF of xy3, x2 y, and x3 y4 is xy, then their LCM is________.
Option 1: x3 y4
Option 2: x3 y3
Option 3: x4 y3
Option 4: x4 y4
Correct Answer: x3 y4
Solution : In xy3, x2 y, and x3 y4 The highest power of x = 3 The highest power of y = 4 ⇒ LCM = x3 y4 Hence, the correct answer is x3 y4
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
You should learn to adopt (1) / yourself to the (2) / changing circumstances.(3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The reason for the error is the incorrect use of the word "adopt" when it should be "adapt". "Adapt" means to adjust or change according to the changing circumstances, while "adopt" means to take something
Question : Eustachian Tube is located in which part of the human body?
Option 1: Nose
Option 2: Ear
Option 3: Eyes
Option 4: Throat
Correct Answer: Ear
Solution : The correct option is Ear.
The Eustachian tube, also known as the auditory tube, is located in the middle ear of the human body. It connects the middle ear to the nasopharynx, which is the upper part of the throat situated behind the nose. The
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. After a noisy and tumultuous supper. we ______ for the day.
Option 1: retirement
Option 2: retiring
Option 3: retired
Option 4: retire
Correct Answer: retired
Solution : The third option is the correct answer.
Retired: It means ceased working or engaging in activity. The use of the simple past tense (retired) in the sentence indicates that the action of retiring for the day occurred and was completed in the past.
Therefore, the
Question : A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?
Option 1: 16 days
Option 2: 12 days
Option 3: 14 days
Option 4: 10 days
Correct Answer: 12 days
Solution : A can complete a work in 18 days. A's 1 day's work = $\frac{1}{18}$ B can complete it in 12 days. B's 1 day's work = $\frac{1}{12}$ B's 4 days' work = $\frac{1}{12}×4=\frac{1}{3}$ Work left = $1-\frac{1}{3}=\frac{2}{3}$ A will finish the remaining work in
Question : Directions: In the following question, select the related word from the given alternatives. Poor : Destitute :: Rich : ?
Option 1: Powerful
Option 2: Affluent
Option 3: Meagre
Option 4: Strong
Correct Answer: Affluent
Solution : Given: Poor : Destitute :: Rich : ?
Destitute is the synonym of Poor.
Now, check the options for the synonym of rich – First option: Powerful; Powerful is the synonym of strong. Second option: Affluent; Affluent is the synonym of rich. Third option: Meagre;
Question : Which of the following hills is a part of the Western Ghats?
Option 1: Anaimalai Hills
Option 2: Khasi Hills
Option 3: Jaintia Hills
Option 4: Garo Hills
Correct Answer: Anaimalai Hills
Solution : The correct answer is Anaimalai Hills.
The Anaimalai Hills are a mountain range in India's southern Western Ghats that runs through western Tamil Nadu and central Kerala. The name "Anaimalai" is derived from the Tamil word "Yaanai" which means "elephant" or from tribal languages.
Question : The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings to increase his average of runs by 4?
Option 1: 116
Option 2: 114
Option 3: 170
Option 4: 76
Correct Answer: 116
Solution : Given: The average of runs of a cricket player of 20 innings was 32. Total runs in 20 innings $ 20 × 32 = 640$ Let his score in the 21st inning be $x$. According to the question, $(32+4)×21-640=x$ $\therefore x = 756-640 = 116$
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