Staff Selection Commission Combined Graduate Level Exam
Question : Rajnish borrowed INR 1,500 from a bank and repaid the entire amount with interest in two equal annual instalments, the first instalment being paid a year after Rajnish borrowed from the bank. If the rate of interest was 40% per annum, compounded annually, then what was the value (in INR) of each instalment paid by Rajnish?
Option 1: 1125
Option 2: 1470
Option 3: 1225
Option 4: 1350
Correct Answer: 1225
Solution : Let the two equal instalments be $P_1$ and $P_2$ Given: $P_1 + P_2 = 1500$ and rate of interest $(R)= 40 \%$ Since annual instalments are equal, So, $P_1(1+\frac{R}{100})=P_2(1+\frac{R}{100})(1+\frac{R}{100})$ ⇒ $\frac{P_1}{P_2}=1+\frac{R}{100}=1+\frac{40}{100}=1+\frac{2}{5}=\frac{7}{5}$ ⇒ $P_2 = \frac{5P_1}{7}$ Now, $P_1 + P_2 = 1500$ ⇒ $P_1+\frac{5P_1}{7}= 1500$ ⇒
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.) (14, 378, 9) (18, 432, 8)
Option 1: (5, 125, 8)
Option 2: (15, 405, 9)
Option 3: (15, 305, 7)
Option 4: (11, 265, 8)
Correct Answer: (15, 405, 9)
Solution : Given: (14, 378, 9); (18, 432, 8)
In the given set of numbers, multiply the first and third numbers by 3 to get the second number. (14, 378, 9)→14 × 9 × 3 = 378 (18, 432, 8)→18 × 8 × 3 =
Question : Select the most appropriate option to fill in the blank and complete the collocation. Happiness can be spread by being grateful or____________ compliments to someone.
Option 1: giving
Option 2: paying
Option 3: accepting
Option 4: sharing
Correct Answer: paying
Solution : The second option is correct.
Paying compliments is a gerund phrase functioning as a noun. It acts as the object of the preposition by in the sentence. The phrase "paying compliments" indicates the action of expressing admiration or kind words towards someone. In the sentence,
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
In ancient times, Hieun Tsang, a Chinese traveller came to India during the (1)______ of King Harsha. He praised the Indians (2)______ 'people with pure moral principles’. In 2014, India (3)______ 85th in the corruption perception index of the Transparency International. What (4)______ downfall! Isn’t it ironical that we Indians (5)______ by the ideals of honesty and integrity, self-denial and (6)______ but in practice willingly resort to the (7) ______ forms of corruption to promote our interests? The (8)______ of corruption is eating into the (9) ______ of our society and we have become helpless (10)______ of our own degradation.
Question:
Select the most appropriate option to fill in the blank no. 10.
Option 1: onlookers
Option 2: visionaries
Option 3: sorcerers
Option 4: performers
Correct Answer: onlookers
Solution : The correct choice is the first option.
Onlookers mean a non-participating observer; a spectator. It helps convey the intended meaning corruption is eating away the society and we have become a helpless audience of our own degradation.
Question : Directions: If 6 @ 4 @ 7 = 101 and 2 @ 5 @ 11 = 150, then what is the value of A in A @ 8 @ 9 = 289?
Option 1: 5
Option 2: 8
Option 3: 12
Option 4: 17
Correct Answer: 12
Solution : Given: 6 @ 4 @ 7 = 101, 2 @ 5 @ 11 = 150
Use the following operations in place of the given symbols @. Like, 6 @ 4 @ 7 = 101 i = 62 + 42 + 72 =
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’. Scores given by the members are to be consolidated and sent in the head office immediately.
Option 1: No substitution
Option 2: after the head office
Option 3: at the head office
Option 4: to the head office
Correct Answer: to the head office
Solution : The correct option is the fourth option.
Explanation: In the context of sending something to a particular location, the preposition "to" is commonly used to indicate the destination. Therefore, the correct preposition to use in this sentence is "to" when referring
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
If I would have known the truth I would have admitted it.
(1) had known
(2) have known
(3) know
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option "had known".
This option is the correct choice because it correctly follows the rules of the third conditional. It uses the past perfect tense in the first part, followed by modal + have + V3
Question : Directions: In a certain code language, EACH is written as 97, and EASY is written as 64. How will ECHO be written in that language?
Option 1: 85
Option 2: 82
Option 3: 83
Option 4: 86
Correct Answer: 83
Solution : Given: EACH is written as 97, and EASY is written as 64.
Add 6 to the sum of the position values of the opposite letter pairs of the word EACH to get the required code –
Question : Which of the following is not a tributary of the Godavari River?
Option 1: Mahi
Option 2: Pranhita
Option 3: Manjira
Option 4: Purna
Correct Answer: Mahi
Solution : The correct option is Mahi.
The Mahi River, located in western India, flows through the states of Madhya Pradesh, Rajasthan, and Gujarat. It is not a tributary of the Godavari River. The Pranhita River is a significant tributary of the Godavari. The Manjira River
Question :
Directions: In the following question, select the related word from the given alternatives. Sanitation : Illness :: Care : ?
Option 1: Rest
Option 2: Ignore
Option 3: Accident
Option 4: Suggestion
Correct Answer: Accident
Solution : Given: Sanitation : Illness :: Care : ?
Sanitation, if done regularly, can prevent illness. Similarly, accidents can be prevented if traffic rules are taken care of.
Hence, the third option is correct.
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