Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the set in which the numbers are NOT related in the same way as the numbers of the following set. (8, 13, 21); (13, 18, 31) (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed).
Option 1: (14, 19, 33)
Option 2: (8, 3, 11)
Option 3: (11, 16, 29)
Option 4: (17, 12, 29)
Correct Answer: (11, 16, 29)
Solution : Given: (8, 13, 21); (13, 18, 31)
In the given sets, add the first and second numbers to get the third number. (8, 13, 21) ⇒ 8 + 13 = 21 (13, 18, 31) ⇒ 13 + 18 = 31 Let's check the
Question : Direction: In the following question, select the one which is different from the other three alternatives.
Option 1: 41, 4
Option 2: 83, 6
Option 3: 74, 7
Option 4: 97, 9
Correct Answer: 83, 6
Solution : Let's check the options —
First option: 41, 4; The second number is 4 which is equal to the first digit of 41.
Second option: 83, 6; The second number is 6 which is not equal to the first digit of 83. This option
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".
The other day, my sister told me (1)/ that she will be moving (2)/ to her new apartment very soon. (3)/ No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
Here, will in the future continuous tense should be changed to would as per the rule of reported speech. Thus, that she will be moving should be replaced with that she would be moving to make it
Question : A person lent Rs. 23000 to B for 3 years and Rs.19000 to C for 4 years on simple interest at the same rate of interest and received Rs. 3625 in all from both of them as interest. What is the annual rate of interest?
Option 1: 1.5%
Option 2: 3%
Option 3: 2.5%
Option 4: 4%
Correct Answer: 2.5%
Solution : Let the rate be $r\%$. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ From the question, Interest from B $= \frac{(23000 × 3 × r)}{100}$ Interest from C = $\frac{(19000 × 4 × r)}{100}$ According to the question, ⇒ $3625 = \frac{(23000 ×
Question : A's salary is 50% more than that of B. Then B's salary is less than that of A by:
Option 1: $50$%
Option 2: $33\frac{1}{3}$%
Option 3: $33\frac{1}{4}$%
Option 4: $44\frac{1}{4}$%
Correct Answer: $33\frac{1}{3}$%
Solution : Let B's salary be Rs. 100. A's salary is 50% more than that of B. So, A's salary = (100 + 50% of 100) = Rs. 150 Now, B gets (150 – 100) = Rs. 50 less than that of A. So, the required Percentage
Question : Direction: In the following question, select the one which is different from other three alternatives.
Option 1: BADC
Option 2: XWZY
Option 3: VUST
Option 4: NMPO
Correct Answer: VUST
Solution : Split the given letter clusters in the group of 2 and then swap the letters of each group –
First option: BADC
BADC → BA DC → AB CD
Both the letter groups are consecutive alphabets.
Second option: XWZY
XWZY → XW ZY → WX
Question : In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm then what is BD : BC ?
Option 1: 5 : 3
Option 2: 7 : 5
Option 3: 5 : 2
Option 4: 5 : 7
Correct Answer: 5 : 7
Solution : The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle. According to the concept, $\frac{AB}{AC} = \frac{BD}{DC}$ ⇒ $\frac{10}{14} = \frac{BD}{DC}$ ⇒ $\frac{5}{7} = \frac{BD}{DC}$ $\therefore BD:DC=5:7$ Hence, the correct answer
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (7, 5, 16) (12, 10, 36)
Option 1: (10, 9, 144)
Option 2: (9, 8, 12)
Option 3: (8, 7, 59)
Option 4: (8, 7, 7)
Correct Answer: (8, 7, 7)
Solution : Given: (7, 5, 16); (12, 10, 36)
Here, (7, 5, 16)→((7)2 – (5)2) – 8 = (49 – 25) – 8 = 24 – 8 = 16 (12, 10, 36)→((12)2 – (10)2) – 8 = (144 –
Question : Appointments for all India Services are made by
Option 1: Union Public Service Commission
Option 2: President
Option 3: Prime Minister
Option 4: Parliament
Correct Answer: President
Solution : The correct answer is President.
A wide range of appointments must be made by the President. The President of India appoints all members of the All India Civil Services. According to Article 312 of the Indian Constitution, Parliament may establish a new All India Service
Question : The pie chart given below shows the number of trucks sold by 8 different companies. The total number of trucks sold by all these 8 companies is 4000. The number of trucks sold by a particular company is shown as a percent of the total number of trucks sold by all these 8 companies. The number of trucks sold by B, C, F, and H is how much percent less than the number of trucks sold by all these 8 companies?
Option 1: 46%
Option 2: 22%
Option 3: 34%
Option 4: 14%
Correct Answer: 34%
Solution : Given: The total number of trucks sold by all these 8 companies is 4000. Total percentage of trucks sold in B, C, F, and H = 27 + 18 + 7 + 14 = 66% $\therefore$ The difference in the percentage of trucks sold in
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