Staff Selection Commission Sub Inspector Exam
Question : For a triangle ABC, D and E are two points on AB and AC such that $\mathrm{AD}=\frac{1}{6} \mathrm{AB}$, $\mathrm{AE}=\frac{1}{6} \mathrm{AC}$. If BC = 22 cm, then DE is _______. (Consider up to two decimals)
Option 1: 1.33 cm
Option 2: 1.67 cm
Option 3: 3.67 cm
Option 4: 3.33 cm
Correct Answer: 3.67 cm
Solution : D is a point on AB such that AD = $\frac{1}{6}$AB and E is a point on AC such that AE = $\frac{1}{6}$AC DE is joined. BC = 22 cm In triangle ADE and triangle ABC, $\frac{AD}{AB}=\frac{AE}{EC}$ In a similar triangle, the ratio of
Question : Which of the following is an autobiography of the international tennis player Andre Agassi?
Option 1: Open: An Autobiography
Option 2: Becoming
Option 3: Too Many Reasons to Live
Option 4: Me
Correct Answer: Open: An Autobiography
Solution : The correct answer is Open: An autobiography.
Andre Agassi is an American former World number 1 tennis player. He is widely considered one of the greatest tennis players. He is an eight-time major champion and an Olympic gold medalist. Agassi was
Question : A person can save 25% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his expenditure is _____.
Option 1: $26 \frac{2}{3}$
Option 2: $24$
Option 3: $25 \frac{1}{3}$
Option 4: $25$
Correct Answer: $26 \frac{2}{3}$
Solution : Let the income of the person be 100 Savings of the person = $100 × \frac{25}{100}$ = 25 Expenditure of the person = 100 – 25 = 75 The new income of the person = $100 × \frac{120}{100}$ = 120 New expenditure of the
Question : Select the most appropriate one-word substitution for the given group of words.
Irresistible impulse to steal
Option 1: kleptomania
Option 2: plunder
Option 3: sabotage
Option 4: megalomania
Correct Answer: kleptomania
Solution : The correct choice is the first option.
Kleptomania is a mental disorder in which there is an irresistible urge or impulse to steal things, often items that are not needed for personal use or monetary value. It represents a recurrent inability to resist the
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} $
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