Staff Selection Commission Combined Graduate Level Exam
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.
Question : Directions: Among four books, Book 1 is twice as heavy as Book 2. Book 3's weight is half of Book 2's weight. Book 4 is 60 grams more as compared to Book 2, but 60 grams less as compared to Book 1. Which book is the heaviest?
Option 1: Book 1
Option 2: Book 2
Option 3: Book 3
Option 4: Book 4
Correct Answer: Book 1
Solution : Given: Let W1 be the weight of Book 1, W2 be the weight of Book 2, W3 be the weight of Book 3 and W4 be the weight of Book 4.
I. Book 1 is twice as heavy as Book 2. W1 > W2.
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 1 : 7 :: 3 : 215 :: 4 : ?
Option 1: 453
Option 2: 342
Option 3: 511
Option 4: 363
Correct Answer: 511
Solution : Given: 1 : 7 :: 3 : 215 :: 4 : ?
In the given pairs, multiply the first number by 2, then find the cube of that number, and then subtract 1 from the resultant, to get the second number. Like, 1 : 7→1
Question : In the given figure, $PQRS$ is a rectangle and a semicircle with $SR$ as the diameter is drawn. A circle is drawn as shown in the figure. If $QR=7\;\mathrm{cm}$, then what is the radius (in $\mathrm{cm}$) of the small circle?
Option 1: $21+14\sqrt{2}$
Option 2: $21-14\sqrt{2}$
Option 3: both $21+14\sqrt{2}$ and $21-14\sqrt{2}$
Option 4: None of these
Correct Answer: $21-14\sqrt{2}$
Solution :
We have $PQRS$ as a rectangle and a semicircle with $SR$ as diameter and $QR = 7\;\mathrm{cm}$. Construction: Draw a line from $Q$ on line $ST$ (where $T$ is the centre of the semicircle) and pass through point $U$ (where $U$ is the point of
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. 'G' can be represented by 01, and 'P' can be represented by 10, 44, etc. Similarly, you have to identify the set for the word.
'BARK'
Option 1: 32, 55, 69, 24
Option 2: 32, 03, 66, 57
Option 3: 67, 42, 66, 00
Option 4: 23, 30, 66, 97
Correct Answer: 67, 42, 66, 00
Solution : Given: BARK
Number representations of each letter: B → 32, 67, 78 A → 42, 03, 55 R → 13, 23, 66 K → 00, 24
First option: 32, 55, 69, 24 R cannot be represented by 69. Hence, it's incorrect.
Second
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