Staff Selection Commission Combined Graduate Level Exam
Question : A dog saw a cat at a distance of 280 m. The cat started running at the speed of 10 km/h and the dog also ran to catch it at the speed of 24 km/h. How much time will the dog take to catch the cat?
Option 1: 1.4 min
Option 2: 1.5 min
Option 3: 1.2 min
Option 4: 1.3 min
Correct Answer: 1.2 min
Solution : 10 km/h = $\frac{25}{9}$ m/s 24 km/h = $\frac{20}{3}$ m/s Relative speed = $\frac{20}{3}-\frac{25}{9} = \frac{60-25}{9} = \frac{35}{9}$ Now, the time taken to catch the cat by the dog $= \frac{280}{ \frac{35}{9}}$ $= \frac{280 \times 9}{35}$ $=72$ seconds $= \frac{72}{60} = 1.2$ min ∴
Question : If $2x+\frac{1}{2x}=2,$ what is the value of $\sqrt{2\left (\frac{1}{x}\right)^{4}+\left (\frac{1}{x}\right)^{5}}\; ?$
Option 1: 1
Option 2: 2
Option 3: 4
Option 4: 8
Correct Answer: 8
Solution : Given: $2x+\frac{1}{2x}=2$ $⇒4x^{2}-4x+1=0$ $⇒\left (2x-1 \right)^{2}=0$ $⇒x=\frac{1}{2}$ So, $\sqrt{2\left (\frac{1}{x}\right)^{4}+\left (\frac{1}{x}\right)^{5}}\;=\sqrt{2\left (2\right)^{4}+\left (2\right )^{5}}\;=\sqrt{32+32}\;=8$ Hence, the correct answer is 8.
Question : What will be the simple interest on a sum of INR 12,000 at the rate of 15 percent per annum for three years?
Option 1: INR 7,200
Option 2: INR 6,000
Option 3: INR 5,400
Option 4: INR 4,500
Correct Answer: INR 5,400
Solution : Given: A sum of INR 12,000 at the rate of 15 percent per annum for three years. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}=\frac{12000\times 15\times 3}{100}=$ INR 5,400 Hence, the correct answer is INR 5,400.
Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 66 * 6 * 12 * 3 * 15 = 12
Option 1: ÷, −, ×, +
Option 2: +, −, ÷, ×
Option 3: ÷, ×, +, −
Option 4: ×, −, ÷, +
Correct Answer: +, −, ÷, ×
Solution : Given: 66 * 6 * 12 * 3 * 15 = 12
Let's check the options – First option: ÷, −, ×, + ⇒ 66 ÷ 6 – 12 × 3 + 15 = 12 Solving the L.H.S. of the equation –
Question : Which article of the Constitution of India authorises the President to seek the opinion of the Supreme Court in specific categories of matters?
Option 1: Article 144
Option 2: Article 145
Option 3: Article 142
Option 4: Article 143
Correct Answer: Article 143
Solution : The answer is Article 143.
Article 143 of the Constitution of India authorises the President of India to seek the opinion of the Supreme Court on certain matters. This article empowers the President to refer to the Supreme Court about questions of law or
Question : Select the option that expresses the given sentence in direct speech. The judge asked the prisoner if he had anything to say for himself.
Option 1: The judge said to the prisoner, “Does he have anything to say for himself?”
Option 2: The judge said to the prisoner, “If you have anything to say for yourself?”
Option 3: The judge said to the prisoner, “Did he had anything to say for himself?”
Option 4: The judge said to the prisoner, “Do you have anything to say for yourself?”
Correct Answer: The judge said to the prisoner, “Do you have anything to say for yourself?”
Solution : The fourth option is correct.
Indirect speech, also known as reported speech or indirect discourse, is a way of reporting what someone else has said without quoting their exact words. Narration conversion:
Question : Who among the following rulers ruled before Prithviraj Chauhan over Delhi?
Option 1: Ghiyasuddin Balban
Option 2: Anangpal II
Option 3: Jalaluddin Khalji
Option 4: Qutb ud-Din Aibak
Correct Answer: Anangpal II
Solution : The correct option is Anangpal II.
Before Prithviraj Chauhan, the ruler who ruled Delhi was Tomara Rajput ruler Anangpal Tomar. He was one of the early rulers of the Tomara dynasty in the 11th century. Anangpal Tomar is sometimes credited with founding the
Question : Directions: Select the figure that will come in place of the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure – 1. The figure which is at the centre of the box number of corners has been increased by one. 2. The figures in the centre are shaded and unshaded alternatively. 3. As we move from one box to another, it
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.
We must understand that people can process very little information presented orally. So, it is (1)_____, particularly for a teacher, to realise that the students have sometimes listened to three or four teachers (2)_____ you. So, the teacher must have props like notes, handouts, and slides that will make the learning material (3)______ alive for the students and stay that way with them. A visual aid, a little movement or colour will get the students' attention. Another important thing to (4)_____ is that long, complicated sentences spoken fast are simply too difficult for students to understand. It is, therefore, (5)_______ to use short sentences that make sense to them instantly.
Select the most appropriate option to fill in the blank no. 1.
Option 1: urgent
Option 2: immaterial
Option 3: unnecessary
Option 4: important
Correct Answer: important
Solution : The correct choice is the fourth option.
In the context of the passage, it is important for a teacher to realise that students may have listened to multiple teachers, and this recognition informs the need for effective teaching methods. The word important here signifies the
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. 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.) (240, 55, 65) (320, 85, 75)
Option 1: (140, 35, 25)
Option 2: (220, 90, 15)
Option 3: (160, 35, 45)
Option 4: (200, 5, 105)
Correct Answer: (160, 35, 45)
Solution : Given: (240, 55, 65); (320, 85, 75)
Add the second and the third number and multiply the resultant by 2 to get the first number. (240, 55, 65)→55 + 65 = 120; 120 × 2 = 240 (320, 85, 75)→75 + 85 =
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