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Staff Selection Commission Combined Graduate Level Exam

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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

Team Careers360 2nd Jan, 2024

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

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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

Team Careers360 21st Jan, 2024

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.

12 Views

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

Team Careers360 24th Jan, 2024

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.

37 Views

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: ×, −, ÷, +

Team Careers360 2nd Jan, 2024

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 –

11 Views

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

Team Careers360 15th Jan, 2024

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

17 Views

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 

Team Careers360 25th Jan, 2024

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

12 Views

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:

Team Careers360 18th Jan, 2024

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

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