Staff Selection Commission Combined Graduate Level Exam
Question : A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work?
Option 1: 10 days
Option 2: 8 days
Option 3: 9 days
Option 4: 7 days
Correct Answer: 8 days
Solution : Work done by A in 1 day $= \frac{1}{20}$ part of the work Work done by B in 1 day $= \frac{1}{15}$ part of the work So, work done by A in 9 days $= \frac{9}{15}$ part of the work So, Remaining work =
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
National development is defined as an improvement in people's daily arrangements, the provision of fundamental necessities to citizens such as food, education, social services, medical help, and so on, as well as an increase in per capita income.
Option 1: diving techniques
Option 2: dining categories
Option 3: existing calamities
Option 4: living conditions
Correct Answer: living conditions
Solution : The correct choice is the fourth option.
Explanation: The underlined segment refers to the improvement in people's daily lives and the provision of fundamental necessities. "Living conditions" accurately captures this meaning.
So, the correct sentence is: National development is defined as an improvement in
Question : Which of the following is one of the Open Market Operations of the Reserve Bank of India?
Option 1: Buying and selling of bonds issued by the Government in the open market
Option 2: Buying and selling of bonds issued by commercial banks in the open market
Option 3: Only buying of bonds issued by the Government in the open market
Option 4: Only selling of bonds issued by the Government in the open market
Correct Answer: Buying and selling of bonds issued by the Government in the open market
Solution : The correct option is Buying and selling bonds issued by the Government in the open market.
Open Market Operations (OMO) refers to the buying and selling of government securities by a central
Question : Study the given pie chart carefully and answer the following question. What is the total amount (in Rs.) that the school uses for payments?
Option 1: 1,20,000
Option 2: 3,10,000
Option 3: 1,10,000
Option 4: 2,10,000
Correct Answer: 1,10,000
Solution : Given: The entire fund the school gets is Rs. 10,00,000. It is funded by different sources represented by the pie chart as (35 + 15 + 12 + 38) = 100% Then, 1% equal to $\frac{10,00,000}{100}$ = Rs. 10,000 The funds used by the school
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'U' can be represented by 01,12, etc,. and 'L' can be represented by 56, 67, etc. Similarly, you have to identify the set for the word.
'SPARE'
Option 1: 22, 41, 85, 32, 14
Option 2: 12, 24, 21, 68, 14
Option 3: 44, 78, 67, 32, 42
Option 4: 33, 30, 43, 40, 43
Correct Answer: 22, 41, 85, 32, 14
Solution : Given: SPARE
Number representations of each letter: S → 00, 11, 22, 33, 44 P → 30, 41, 02, 13, 24 A → 85, 96, 57, 68, 79 R → 10, 21, 32, 43, 04 E → 20, 31, 42, 03,
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
It is (all but same) to me whether I am transferred to Mumbai or Kolkata.
(1) all or same
(2) all the same
(3) all one
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
The phrase "all the same" means makes no difference and is the appropriate choice for this sentence. The rest of the options are incorrect as they are not phrases in the standard English language.
Therefore, the
Question : Directions: Which of the following interchange of signs would make the given equation correct? 5 + 3 × 8 – 12 ÷ 4 = 3
Option 1: – and ÷
Option 2: + and ×
Option 3: + and ÷
Option 4: + and –
Correct Answer: – and ÷
Solution : Given: 5 + 3 × 8 – 12 ÷ 4 = 3
Replace the given signs in the options one by one with those in the given equation. First option: – and ÷ = 5 + 3 × 8 ÷ 12 – 4
Question : The ratio of the length of each equal side and the third side of an isosceles triangle is 3 : 5. If the area of the triangle is $30 \sqrt{11}$ cm2, then the length of the third side (in cm) is:
Option 1: $10\sqrt{6}$
Option 2: $5\sqrt{6}$
Option 3: $13\sqrt{6}$
Option 4: $11\sqrt{6}$
Correct Answer: $10\sqrt{6}$
Solution : Let the equal sides be $3x$ cm and the third side be $5x$ cm. By heron's formula, Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$ Where, $s=\frac{a+b+c}{2}$ Here, $s=\frac{3x+3x+5x}{2}$ ⇒ $s=\frac{11x}2$ So, $\sqrt{\frac{11x}2(\frac{11x}2-3x)(\frac{11x}2-3x)(\frac{11x}2-5x)} = 30\sqrt{11}$ ⇒ $\sqrt{\frac{11x}2(\frac{5x}2)(\frac{5x}2)(\frac{1x}2)} = 30\sqrt{11}$ ⇒ $\frac{5}{4}\sqrt{11}x^2 = 30\sqrt{11}$ ⇒ $x^2 = 24$ ⇒
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
While provisions on equality and non-discrimination (1) / would promote equal opportunity, (2) / in the process, reservations at jobs should not be denied. (3) / No Error (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
In this context, when referring to job reservations, it is more appropriate to use "in" to indicate that reservations are related to jobs. "At" is less suitable in this context, as it defines specification.
So, the correct
Question : What is the value of $\left(27 x^3-58 x^2 y+31 x y^2-8 y^3\right)$, when $x=-5$ and $y=-7?$
Option 1: 1924
Option 2: – 1924
Option 3: – 1926
Option 4: 1926
Correct Answer: 1924
Solution : Given: $x=-5$ and $y=-7$ $\left(27 x^3-58 x^2 y+31 x y^2-8 y^3\right)$ $= (3x)^3-3×(3x)^2×2y+3×3x×(2y)^2-(2y)^3-4x^2y-5xy^2$ $= (3x-2y)^3-xy(4x+5y)$ $= (3×(-5)-2×(-7))^3-(-5×(-7))(4×(-5)+5×(-7))$ $=-1-35(-20-35)$ $= -1-35(-55)$ $= -1+1925$ $= 1924$ Hence, the correct answer is 1924.
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