Staff Selection Commission Combined Graduate Level Exam
Question : Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Option 1: $42 + 7\pi\ \text{cm}$
Option 2: $21\pi + 14\ \text{cm}$
Option 3: $42 + 14\pi\ \text{cm}$
Option 4: $7 + 14\pi\ \text{cm}$
Correct Answer: $42 + 14\pi\ \text{cm}$
Solution : Given: The radius of the circles($r$) = 7 cm Length of the string not in contact with circle = $2r+2r+2r= 6r = 42\ \text{cm}$ By symmetry, the angles swiped by a string on one circle = $120°$ Length of string touching the
Question : If Rs.126.50 is divided among A, B and C in the ratio of 2 : 5 : 4 the share of B exceeds that of A by:
Option 1: Rs. 36.50
Option 2: Rs. 35.50
Option 3: Rs. 34.50
Option 4: Rs. 33.50
Correct Answer: Rs. 34.50
Solution : Given: Rs. 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4. So, they will get shares according to the ratio. A's share = ($\frac{2}{2+5+4})$ × 126.50 = $\frac{2}{11}$ × 126.50 = Rs. 23 B's share =
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error The strain caused by / the difficulties and anxieties / were more than / she could bear.
Option 1: the difficulties and anxieties
Option 2: were more than
Option 3: she could bear
Option 4: The strain caused by
Correct Answer: were more than
Solution : The error lies in the second option.
The error lies in the subject-verb agreement. In this case, the noun strain is singular so the verb should also be singular. However, the verb were is plural, which should be replaced with was.
Therefore,
Question : Who was the Guru of Shivaji ?
Option 1: Namdev
Option 2: Ramdas
Option 3: Eknath
Option 4: Tukaram
Correct Answer: Ramdas
Solution : Correct Answer is Ramdas
He lived during the reigns of Chatrapati Shivaji Maharaj and Chatrapati Sambhaji Maharaj, two Maratha kings. He was a Hindu saint from India who was also a philosopher, poet, author, and spiritual guide. Guru Ram Das was renowned for his piety,
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at 1, 2, and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is 4.
She was completely nonplussed by the erratic behaviour of her father.
(1) completely plussed
(2) completely no-nonplussed
(3) entirely not nonplussed
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct choice is the fourth option.
The original phrase "completely nonplussed" is already correct and clear in expressing the sense of being completely bewildered or confused.
Therefore, the given sentence requires no improvement.
Question : Direction: From the given alternative select the word which cannot be formed using the letters of the given word.
PRESUMPTION
Option 1: TIER
Option 2: POMPOUS
Option 3: PUMP
Option 4: RUIN
Correct Answer: POMPOUS
Solution : Given:
First option: TIER; All the letters of TIER are present in the word PRESUMPTION.
Second option: POMPOUS; The letter O in the word POMPOUS is not present in the word PRESUMPTION.
Third option: PUMP; All the letters of PUMP are present
Question : The "Nalacharitham" play is associated with which Indian dance form?
Option 1: Kathak
Option 2: Kathakali
Option 3: Sattriya
Option 4: Odissi
Correct Answer: Kathakali
Solution : The correct option is Kathakali.
Nalacharitham, a renowned Sanskrit play, is intricately linked with the Indian dance form known as Kathakali. Hailing from Kerala, Kathakali is a traditional dance-drama that draws upon classical Indian literature, with "Nalacharitham" being a prominent choice for its performances. The
Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I. Some poems are horses. II. All horses are toys. III. All toys are ships. Conclusions: I. All toys being poems is a possibility. II. Some horses are ships.
Option 1: Both conclusions I and II follow
Option 2: Either conclusion I or II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All toys being poems is a possibility – It is a possibility that the circle representing toys is completely overlapped
Question : A sum of Rs. 2800 is divided into two parts in such a way that the interest on both parts is equal. If the first part is lent at 9% p.a. for 5 years and the second part is for 6 years at 10% p.a., find the two sums.
Option 1: Rs.1800, Rs.1000
Option 2: Rs.1600, Rs.1200
Option 3: Rs.1400, Rs.1400
Option 4: Rs.1300, Rs.1500
Correct Answer: Rs.1600, Rs.1200
Solution : Let the first part be $y$. ∴ Second part = Rs.$(2800 – y)$ According to the question, Simple interest = $\frac{\text{Principal×Rate×Time}}{100}$ ∴$\frac{y×5×9}{100}=\frac{(2800-y)×6×10}{100}$ ⇒ $3y = 4 × 2800 – 4y$ ⇒ $7y = 4 × 2800$ ⇒ $y = \frac{4 × 2800}{7}$ ⇒ $y
Question : Directions: If in a certain code language TEACHER is coded as QBXZEBO, then how is STUDENT coded in the same language?
Option 1: PQRBAQK
Option 2: PQRABKQ
Option 3: PQRKBAQ
Option 4: PRKQBAQ
Correct Answer: PQRABKQ
Solution : Given: TEACHER is coded as QBXZEBO.
Subtract 3 from the place value of each letter of TEACHER, to obtain the required code – T – 3 = Q, E – 3 = B, A – 3 = X, C – 3 = Z, H –
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