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Staff Selection Commission Sub Inspector Exam

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16 Views

Question : Directions: If + means –, – means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
137 ÷ 56 × 7 – 6 + 31 = ?

Option 1: 149

Option 2: 163

Option 3: 145

Option 4: 154

Team Careers360 15th Jan, 2024

Correct Answer: 154


Solution : Given:
+ means –, – means ×, × means ÷, ÷ means +
137 ÷ 56 × 7 – 6 + 31 = ?

After interchanging the given mathematical signs, we get –
137 + 56 ÷ 7 × 6 – 31
137 + 8

19 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Serene

Option 2: Triumph

Option 3: Comparsion

Option 4: Unveil

Team Careers360 20th Jan, 2024

Correct Answer: Comparsion


Solution : The third option is the correct choice.

The incorrectly spelled word is Comparsion. The correct spelling is comparison. The error lies in the placement of the letters a and I. The correct spelling follows the sequence "compar" followed by ison, whereas the incorrect

387 Views

Question : Find the greatest number which when divided 261, 853, and 1221, leaves a remainder of 5 in each case.

Option 1: 19

Option 2: 18

Option 3: 17

Option 4: 16

Team Careers360 23rd Jan, 2024

Correct Answer: 16


Solution : The greatest number that divides 261, 853, and 1221, leaving a remainder of 5 in each case, is the greatest common divisor (GCD) of (261 – 5), (853 – 5), and (1221 – 5). 
So, we need to find the GCD of 256, 848, and

19 Views

Question : What is the value of the following in terms of trigonometric ratios?
$\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}$

Option 1: $2\operatorname{cosec A}$

Option 2: $2\operatorname{cos A}$

Option 3: $2\operatorname{sec A}$

Option 4: $2\operatorname{sin A}$

Team Careers360 20th Jan, 2024

Correct Answer: $2\operatorname{cosec A}$


Solution : $\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}$
$=\frac{\sin^2 A + (1 + \cos A)^2}{\sin A (1 + \cos A)}$
$=\frac{\sin^2 A +1 + 2\cos A + \cos^2 A}{\sin A (1 + \cos A)}$
$=\frac{2 + 2\cos A}{\sin A (1 + \cos A)}$ [$\because \sin^2 A +

24 Views

Question : The radius of the base of a cylinder is 14 cm and its volume is 6160 cm3. The curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$)

Option 1: 778

Option 2: 880

Option 3: 660

Option 4: 940

Team Careers360 18th Jan, 2024

Correct Answer: 880


Solution : The volume of a cylinder, $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.
⇒ $h = \frac{V}{\pi r^2}$
Given that $V = 6160 \, \text{cm}^3$, $r = 14 \, \text{cm}$, and $\pi = \frac{22}{7}$
$\therefore h = \frac{6160}{\frac{22}{7}

9 Views

Question : As per Article 361 of the Constitution of India, who among the following shall NOT be answerable to any court for the exercise and performance of the powers and duties of his/her office?

Option 1: Chief minister

Option 2: Secretary

Option 3: Prime minister

Option 4: Governor

Team Careers360 20th Jan, 2024

Correct Answer: Governor


Solution : The correct answer is Governor.

According to this article, the President or Governor shall not be answerable to any court for the exercise and performance of the powers and duties of his office or for any act done or supposed to be done by

45 Views

Question : Arun buys one kilogram of apples for Rs. 120 and sells it to Swati gaining 25%. Swati sells it to Divya who again sells it for Rs. 198, making a profit of 10%. What is the profit percentage made by Swati?

Option 1: 25%

Option 2: 20%

Option 3: 16.67%

Option 4: 15%

Team Careers360 19th Jan, 2024

Correct Answer: 20%


Solution : Here SP is the selling price and CP is the cost price.
CP for Arun = Rs. 120
Profit = 25%
SP of apple = $\frac{125}{100}×120$ = Rs. 150
Again, SP by Divya = Rs. 198
Including profit = 10%
CP for Divya = $\frac{100}{110}×198$

87 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
115, 130, 122, 137, 129, ?

Option 1: 144

Option 2: 142

Option 3: 148

Option 4: 150

Team Careers360 24th Jan, 2024

Correct Answer: 144


Solution : Given:
115, 130, 122, 137, 129, ?

Add 15 and subtract 8 alternately from the previous term to obtain the missing term.
115 + 15 = 130; 130 – 8 = 122; 122 + 15 = 137; 137 – 8 = 129; 129 + 15

15 Views

Question : If the perimeter of the circle is 13.2 cm, then the radius of the circle is___________.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

Option 1: 6.6 cm

Option 2: 4.2 cm

Option 3: 2.1 cm

Option 4: 3.3 cm

Team Careers360 21st Jan, 2024

Correct Answer: 2.1 cm


Solution : Let $r$ be the radius of a circle.
The perimeter of the circle = 13.2 cm
$2\pi r = 13.2$
$⇒2 × \frac{22}{7} × r = 13.2$
$\therefore r = \frac{13.2 × 7}{2 × 22}= 2.1$ cm
Hence, the correct answer is 2.1 cm.

16 Views

Question : Directions: Find the odd word from the given responses.

Option 1: Insurance

Option 2: Provident fund

Option 3: Salary

Option 4: Shares

Team Careers360 21st Jan, 2024

Correct Answer: Salary


Solution : All other given words (Insurance, Provident Fund, Shares) except for Salary are the types of investments made.
But salary is the source of income.

Hence, the third option is correct.

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