Staff Selection Commission Sub Inspector Exam
Question : The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is:
Option 1: 15
Option 2: 18
Option 3: 20
Option 4: 12
Correct Answer: 18
Solution : Given: The batting average of a cricket player for 30 innings is 40 runs. Total runs in 30 innings = 30 × 40 = 1200 Let the lowest and the highest scores be $x$ and $(100+x)$, respectively. The average score of the remaining 28 innings
Question : The Indian judicial system is based on:
Option 1: both integrated and dual system
Option 2: dual court system
Option 3: multiple court system
Option 4: single integrated system
Correct Answer: single integrated system
Solution : The correct answer is a single integrated system.
India's Constitution establishes a single, autonomous, and integrated judicial system. The Supreme Court is the highest in the country.
States do, however, have various courts. The state judicial system's highest court is known as
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? AXFN, GCJQ, MHNT, ?, YRVZ
Option 1: SWMR
Option 2: QRLV
Option 3: RLQV
Option 4: SMRW
Correct Answer: SMRW
Solution : Given: AXFN, GCJQ, MHNT, ?, YRVZ
In the above-given series, add consecutive natural numbers in decreasing order to the letters of the previous term to obtain the next term. AXFN→A + 6 = G; X + 5 = C; F + 4 = J; N
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 5 – 30
Option 2: 12 – 84
Option 3: 11 – 66
Option 4: 8 – 48
Correct Answer: 12 – 84
Solution : Let's check the options – First option: 5 – 30; 30 ÷ 5 = 6 Second option: 12 – 84; 84 ÷ 12 = 7 Third option: 11 – 66; 66 ÷ 11 = 6 Fourth option: 8 – 48; 48 ÷ 8
Question : The President may resign from his office by writing under his hand addressed to the:
Option 1: Vice president
Option 2: Prime Minister of India
Option 3: Speaker of the Lok Sabha
Option 4: Chief Election Commissioner
Correct Answer: Vice president
Solution : The correct option is Vice president.
The Indian President may step down from office by turning in a resignation letter in person. The Vice president of India is the recipient of this formal resignation. In addition to serving as the President's deputy, the
Question : Evaluate $\frac{0.04}{0.05}$ of $\frac{\left(3 \frac{1}{3}-2 \frac{1}{2}\right) \div \frac{1}{2} \text { of } 1 \frac{1}{4}}{\frac{1}{3}+\frac{1}{5} \text { of } \frac{1}{9}}$
Option 1: 0.3
Option 2: 5
Option 3: 3
Option 4: 0.03
Correct Answer: 3
Solution : Given expression, $\frac{0.04}{0.05}$ of $\frac{\left(3 \frac{1}{3}-2 \frac{1}{2}\right) \div \frac{1}{2} \text { of } 1 \frac{1}{4}}{\frac{1}{3}+\frac{1}{5} \text { of } \frac{1}{9}}$ = $\frac45\times\frac{(\frac{10}{3}-\frac{5}{2})\div\frac12\times\frac54}{\frac13+\frac15\times\frac19}$ Using the BODMAS rule, = $\frac45\times\frac{(\frac{20-15}{6})\div\frac12\times\frac54}{\frac13+\frac{1}{45}}$ = $\frac45\times\frac{(\frac{20-15}{6})\div\frac58}{\frac13+\frac{1}{45}}$ = $\frac45\times\frac{\frac56\times\frac85}{\frac{15+1}{45}}$ = $\frac45\times\frac{\frac43}{\frac{15+1}{45}}$ = $\frac45\times\frac{4\times 45}{3\times 16}$ = $\frac{4\times 15}{5\times 4}$ = 3 Hence,
Question : Directions: In the following question, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. AMV, FQX, KUZ, __?
Option 1: PYB
Option 2: OXA
Option 3: NYB
Option 4: MYB
Correct Answer: PYB
Solution : Given: AMV, FQX, KUZ, __?
In the given series, add 5, 4, and 2 to the place value of the first, second, and third letters of each term to get the next term – AMV→A + 5 = F, M + 4 = Q, V
Question : Solve the following. $\frac{24 \div \frac{3}{8} \text { of }(8+2 \times \overline{7-3})+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div \overline{15-7}+75 \div(6+15 \div 3+4)} $
Option 1: $\frac{23}{27}$
Option 2: $\frac{9}{2}$
Option 3: $\frac{11}{18}$
Option 4: $\frac{15}{19}$
Correct Answer: $\frac{11}{18}$
Solution : $⇒\frac{24 \div \frac{3}{8} \text { of }(8+2 \times \overline{7-3})+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div \overline{15-7}+75 \div(6+15 \div 3+4)}$ First, we have to solve Vinculum, $⇒\frac{24 \div \frac{3}{8} \text { of }(8+2 \times 4)+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div 8+75 \div(6+15 \div 3+4)}$ Now, we have to solve Brackets $⇒\frac{24
Question : Which of the following poems is not written by Sarojini Naidu?
Option 1: A Love Song from the North
Option 2: My Dead Dream
Option 3: In the Forest
Option 4: The Banyan Tree
Correct Answer: The Banyan Tree
Solution : The correct answer is The Banyan Tree
"The Banyan Tree" stands as a literary creation by Rabindranath Tagore, while the verses of "A Love Song from the North," "My Dead Dream," and "In the Forest" are attributed to Sarojini Naidu. Not only a
Question : The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.
Option 1: 5 : 6
Option 2: 10 : 9
Option 3: 6 : 5
Option 4: 9 : 10
Correct Answer: 10 : 9
Solution : The area of a triangle is given by the formula $\frac{1}{2} \times \text{base} \times \text{height}$. Given that the areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. $\frac{\frac{1}{2} \times \text{base}_1
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