Staff Selection Commission Sub Inspector Exam
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? $\frac{1}{121}, \frac{1}{11}, 1, ?, 121$
Option 1: 11
Option 2: 12
Option 3: 21
Option 4: 1
Correct Answer: 11
Solution : Given: $\frac{1}{121}, \frac{1}{11}, 1, ?, 121$
Multiply the previous term by 11 to obtain the next term. $\frac{1}{121}×11=\frac{1}{11}; \frac{1}{11}×11=1; 1×11=11; 11×11=121$
So, 11 is the missing term in the series. Hence, the first option is correct.
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. Q can be represented by 12, 43, etc, and M can be represented by 67, 99, etc. Similarly, you have to identify the set for the word PRICE.
Option 1: 23, 03, 55, 66, 99
Option 2: 42, 24, 88, 56, 66
Option 3: 11, 10, 96, 97, 85
Option 4: 04, 41, 69, 75, 57
Correct Answer: 04, 41, 69, 75, 57
Solution : Given: PRICE
Number representations of each letter – P→04, 11, 23, 30, 42 R→03, 10, 24, 32, 41 I→55, 69, 77, 88, 96 C→58, 66, 75, 89, 97 E→57, 65, 79, 86, 98
First option: 23, 03, 55, 66, 99; E
Question : As of September 2019, the distinction of being the youngest Indian Grandmaster was held by:
Option 1: Parimarjan Negi
Option 2: D Gukesh
Option 3: R Praggnanandhaa
Option 4: Raunak Sadhwani
Correct Answer: D Gukesh
Solution : The correct answer is D Gukesh.
D Gukesh is from Chennai, Tamil Nadu and became India's youngest Grandmaster at the age of 12 years & 7 months. Gukesh Dommaraju has also won an individual gold in the chess Olympiad. He also became the youngest
Question : The difference between a discount of 30% on Rs. 2,000 and two successive discounts of 25% and 5% on the same amount is:
Option 1: Rs. 30
Option 2: Rs. 35
Option 3: Rs. 25
Option 4: Rs. 40
Correct Answer: Rs. 25
Solution : Amount = Rs. 2,000 If discount = 30%, final amount = $\frac{70}{100}$ × 2000 = Rs. 1,400 If two successive discounts of 25% and 5%, final amount = $\frac{75}{100}$ × $\frac{95}{100}$ × 2000 = Rs. 1,425 $\therefore$ Difference = 1425 – 1400 = Rs.
Question : Directions: If P denotes multiplication, Q denotes subtraction, S denotes addition and R denotes division, which of the following equations must be true?
Option 1: 7 S 56 P 2 R 28 = 11
Option 2: 36 R 6 P 2 S 4 = 19
Option 3: 64 R 8 P 3 S 6 = 72
Option 4: 36 R 9 S 4 P 2 = 14
Correct Answer: 7 S 56 P 2 R 28 = 11
Solution : Let's check the options – First option: 7 S 56 P 2 R 28 = 11 ⇒ 7 + 56 × 2 ÷ 28 = 11 Solving the L.H.S. of the equation – = 7 + 56
Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:
Option 1: $2 \frac{3}{20}$
Option 2: $1\frac{2}{20}$
Option 3: $1 \frac{3}{20}$
Option 4: $1 \frac{7}{20}$
Correct Answer: $1 \frac{3}{20}$
Solution : $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ $=\frac{\frac{5}{2}-\frac{3}{7} \times \frac{9}{5} \div \frac{27}{7}}{\frac{3}{2}+ \frac{7}{5} \div \frac{7}{2} \times \frac{5}{4}}$ $=\frac{\frac{5}{2}-\frac{3}{7} \times \frac{9}{5} \times \frac{7}{27}}{\frac{3}{2}+ \frac{7}{5} \times \frac{2}{7} \times \frac{5}{4}}$ $=\frac{\frac{5}{2}-\frac{9}{5} \times \frac{1}{9}}{\frac{3}{2}+ \frac{1}{2}}$ $=\frac{\frac{5}{2}-\frac{1}{5} }{2}$ $=\frac{\frac{23}{10} }{2}$ $=\frac{23}{20} $
Question : In the context of the Convention on Biological Diversities, the eleventh meeting of the Conference of the Parties was held in October 2012 at:
Option 1: Shanghai
Option 2: Dhaka
Option 3: Kandy
Option 4: Hyderabad
Correct Answer: Hyderabad
Solution : The correct answer is Hyderabad.
The Conference of the Parties to the UN Convention on Biological Diversity, known as COP11, took place in Hyderabad, India, in 2012. Attended by environment and forest ministers from around 194 countries, the conference drew participation from international organisations,
Question : Which of the following metals has the lowest density?
Option 1: Lithium
Option 2: Iron
Option 3: Gold
Option 4: Vanadium
Correct Answer: Lithium
Solution : The correct option is Lithium.
Lithium is an alkali metal and is known for its very low density compared to other common metals. Because its atoms are relatively small and contain fewer protons and neutrons in the nucleus than other elements, lithium is the
Question : Study the given graph and answer the question that follows.
The number of workers whose age is 36 years or more but less than 48 years is what percentage more than the number of workers whose age is less than 28 years (correct to one decimal point)?
Option 1: 60.7%
Option 2: 61.2%
Option 3: 62.8%
Option 4: 59.4%
Correct Answer: 60.7%
Solution : The number of workers whose age is 36 years or more but less than 48 years is = 70 + 75 + 80 = 225 Number of workers whose age is less than 28 years = 65 + 75 = 140 Required percentage = $\frac{(225\
Question : Study the given table and answer the question that follows. The table shows the number of employees in five different organisations A, B, C, D and E in different departments.
Which organisation has the minimum number of employees?
Option 1: C
Option 2: B
Option 3: D
Option 4: E
Correct Answer: C
Solution : Total number of employees in organisation A = 5825 Total number of employees in organisation B = 5703 Total number of employees in organisation C = 5424 Total number of employees in organisation D = 5613 Total number of employees in organisation E = 5625
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