Staff Selection Commission Sub Inspector Exam
Question : The largest six-digit number is divisible by 198, if the digits are rearranged, even then the number will be divisible by:
Option 1: 3
Option 2: 6
Option 3: 2
Option 4: 66
Correct Answer: 3
Solution : Largest six-digit number = 999999 Dividing by 198, we get: Quotient = 5050 Remainder = 99 $\therefore$ The largest six-digit number divisible by 198 = 999999 – 99 = 999900 If the digits are rearranged, Sum of all digits of the number = 0 +
Question : What will be the amount received on Rs. 25000 at the rate of 20% per annum compounded yearly for 4 years?
Option 1: Rs. 51840
Option 2: Rs. 50350
Option 3: Rs. 53550
Option 4: Rs. 48750
Correct Answer: Rs. 51840
Solution : Given: Principal, P = Rs. 25000 Rate of interest, $R$ = 20% Time, $T$ = 4 years Now, A = P$(1+\frac{R}{100})^T$, where P is principal, $R$ is the rate of interest compounded annually for $T$ years. ⇒ A = 25000$(1+\frac{20}{100})^4$ = 25000$(\frac{6}{5})^4$ = 25000$×\frac{6}{5}×\frac{6}{5}×\frac{6}{5}×\frac{6}{5}$
Question : Directions: If ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, then what will come in place of the question mark (?) in the following equation?
124 × 4 ÷ 13 – 3 + 36 = ?
Option 1: 31
Option 2: 34
Option 3: 45
Option 4: 42
Correct Answer: 34
Solution : Given ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’ 124 × 4 ÷ 13 – 3 + 36 = ?
After interchanging the mathematical operations the equation becomes – 124 ÷ 4 + 13 x 3 – 36 = ? 31
Question : Select the most appropriate ANTONYM of the given word. Malice
Option 1: Torsion
Option 2: Haughtiness
Option 3: Kindness
Option 4: Tremor
Correct Answer: Kindness
Solution : The third option is the correct answer.
Malice refers to the intention or desire to do evil, harm, or injury to someone. It involves harbouring ill will or spite. On the other hand, kindness is characterised by a benevolent and compassionate disposition, involving goodwill, generosity,
Question : Directions: In a certain code language, VACCINE is written as WCFGNTL and SYRINGE is written as TAUMSML. How will NEEDLE be written in that language?
Option 1: OGHHRK
Option 2: OFHHQK
Option 3: OGHJQK
Option 4: OGHHQK
Correct Answer: OGHHQK
Solution : Given: VACCINE is written as WCFGNTL. SYRINGE is written as TAUMSML.
Add consecutive natural numbers to the place value of the letters of the given word to get its code. VACCINE→V + 1 = W; A + 2 = C; C + 3 = F;
Question : Which of the following statements about Ganymede is not correct?
Option 1: It is the only moon known to have its own internally generated magnetic field.
Option 2: It is the largest natural satellite in our solar system.
Option 3: It is bigger than Mercury.
Option 4: It revolves around Saturn.
Correct Answer: It revolves around Saturn.
Solution : The correct answer is It revolves around Saturn.
Ganymede is a satellite of the planet Jupiter, and it is the largest satellite in the Solar System. It was discovered by Galileo and Marius in 1610. The statement "It revolves around
Question : The product of two numbers is 726 and their HCF is 11, then their LCM is:
Option 1: 58
Option 2: 68
Option 3: 66
Option 4: 76
Correct Answer: 66
Solution : Product of two numbers = HCF × LCM According to the question ⇒ LCM = $\frac{726}{11}$ = 66 Hence, the correct answer is 66.
Question : Directions: Raman remembers that the examination is after the 15th of May but before the 18th of May, while Deep remembers that the examination is before the 21st of May but after the 16th of May. On which date of May is the examination?
Option 1: 17th
Option 2: 18th
Option 3: 19th
Option 4: 20th
Correct Answer: 17th
Solution : Raman remembers that the examination is after 15th May but before 18th May. Hence, the possible dates are 16th May and 17th May. Deep remembers that the examination is before 21st May but after 16th May. Hence, the possible dates are 17th May, 18th May,
Question : Comprehension: Read the given passage carefully and answer the questions that follow.
The world of social media is a strange and wondrous place. It's a world where you can connect with people from all over the globe, share your thoughts and opinions, and maybe even go viral if you're lucky. But let's be real, it's also a world filled with endless cat videos, oversharing, and drama. One of the most interesting things about social media is the way it's changed the way we communicate. We've gone from long, thoughtful emails to quick, abbreviated messages with emojis and acronyms. And don't even get me started on the whole hashtag phenomenon. It's like we're all speaking a different language now. But there are also some downsides to this constant connection. It's easy to get sucked into the world of social media and forget about the real world around us. We're so busy scrolling through our feeds that we forget to enjoy the little moments in life. And let's not forget about the pressure to present the perfect life online. It's like we're all in a competition to see who can be the most popular, the most successful, the most enviable. Despite all of this, I have to admit, I'm still a fan of social media. It's a great way to stay connected with friends and family, and I've even made some new friends through various online communities. Plus, let's face it, sometimes you just need a good laugh at a ridiculous meme. Question: What is one of the downsides of social media mentioned in the passage?
Option 1: It can help connect with people all over the globe.
Option 2: It's a great way to stay connected with friends and family.
Option 3: It encourages people to enjoy the little moments in life.
Option 4: It can lead to pressure to present a perfect life online.
Correct Answer: It can lead to pressure to present a perfect life online.
Solution : The correct choice is the fourth option.
Explanation: In the passage, it's mentioned that social media can create pressure to showcase an idealised version of one's life. This leads to a feeling of
Question : Two numbers are more than the third number by 20% and 80%, respectively. The first number is what percentage of the second number?
Option 1: 75%
Option 2: 50%
Option 3: 66.66%
Option 4: 150%
Correct Answer: 66.66%
Solution : Let the 3rd number be 100 units. Then, 1st number = 20% more than 100 = 120 and 2nd number = 80% more than 100 = 180 So, the required percentage $=\frac{\text{First number}}{\text{Second number}} × 100 = \frac{120}{180} × 100 = 66.66$%
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