Staff Selection Commission Combined Graduate Level Exam
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 –
Question : In the case of test tube babies
Option 1: egg is fertilized in the uterus
Option 2: embryo completes its development in a test tube.
Option 3: embryo is placed in uterus after 2 months
Option 4: egg is fertilized outside mother's body
Correct Answer: egg is fertilized outside mother's body
Solution : The correct option is - egg is fertilized outside mother's body
When an egg is fertilized using a medical procedure called in-vitro fertilization, or IVF therapy, it is referred to as a test tube baby.The fertilized egg is subsequently placed
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.) (2, 125, 3) (1, 64, 3)
Option 1: (2, 100, 8)
Option 2: (5, 512, 3)
Option 3: (12, 50, 13)
Option 4: (4, 341, 3)
Correct Answer: (5, 512, 3)
Solution : Given: (2, 125, 3); (1, 64, 3)
Here, (2, 125, 3); (2 + 3)3 = (5)3 = 125 (1, 64, 3); (1 + 3)3 = (4)3 = 64
Let's check the options – First option: (2, 100, 8); (2
Question : During the reign of which dynasty was the Great Wall of China constructed?
Option 1: Sung
Option 2: Tang
Option 3: Han
Option 4: Chin
Correct Answer: Chin
Solution : The correct answer is Chin.
Emperor Qin Shi Huang began building the Great Wall of China to guard its borders. The Great Wall of China is 21,196 km long. The Great Wall of China was included in the list of UNESCO World Heritage Sites
Question : Find the remainder when 88 + 6 is divided by 7.
Option 1: 0
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 0
Solution : To find the remainder of $8^{8} + 6$ when divided by 7, When 88 is divided by 7, the remainder = $\frac{8^8}{7}→R=1^8=1$ (where R is the remainder) ⇒ $8^{8} + 6→R(1+6)→R(7)$ When 7 is divided by 7, there is no remainder. Hence, the remainder
Question : Which of the following festivals is celebrated in August–September?
Option 1: Makar Sankranti
Option 2: Kite Festival
Option 3: Bikaner Festival
Option 4: Onam
Correct Answer: Onam
Solution : The correct option is Onam.
Onam is a traditional harvest festival celebrated in the Indian state of Kerala. It is one of the most important festivals in the region and is marked by various cultural events, feasts, and activities. Onam usually falls in the
Question : What is $\tan \frac{\theta}{2}$?
Option 1: $\frac{\cos \theta}{1-\sin \theta}$
Option 2: $\frac{\sin \theta}{1-\cos \theta}$
Option 3: $\frac{\cos \theta}{1-\cos \theta}$
Option 4: $\frac{\sin \theta}{1+\cos \theta}$
Correct Answer: $\frac{\sin \theta}{1+\cos \theta}$
Solution : Given: $\tan\frac{\theta}{2}$ = $\frac{\sin\frac{\theta}{2}}{\cos\frac{\theta}{2}}$ = $\frac{2\sin\frac{\theta}{2}\cos\frac{\theta}{2}}{2\cos^2\frac{\theta}{2}}$ = $\frac{2\sin\frac{\theta}{2}\cos\frac{\theta}{2}}{2\cos^2\frac{\theta}{2}-1 + 1 }$ = $\frac{\sin\theta}{\cos\theta + 1}$ Hence, the correct answer is $\frac{\sin \theta}{\cos\theta + 1}$.
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 5, 11, 17, 25, 33, 43, ?
Option 1: 49
Option 2: 51
Option 3: 52
Option 4: 53
Correct Answer: 53
Solution : Given: 5, 11, 17, 25, 33, 43, ?
Add the consecutive even numbers starting from 6 to every two terms – 5 + 6 = 11; 11 + 6 = 17; 17 + 8 = 25; 25 + 8 = 33; 33 + 10 =
Question : Select the option that expresses the given sentence in direct speech. I told you that I had bought a new book for you the day before.
Option 1: I told to you, “I have bought a new book for you yesterday.”
Option 2: I said to you, “I have bought a new book for you the day before.”
Option 3: I said to you, “I bought a new book for you yesterday.”
Option 4: I said to you, “You have bought a new book for me the day before.”
Correct Answer: I said to you, “I bought a new book for you yesterday.”
Solution : The third option is correct.
Explanation: Direct speech, also known as quoted speech or direct discourse, refers to the representation of someone's words or statements exactly as they were spoken. Narration conversion:
The Question containing Inaapropriate or Abusive Words
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