Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. (73, 78, 93)
Option 1: (67, 72, 82)
Option 2: (29, 34, 39)
Option 3: (23, 33, 38)
Option 4: (145, 150, 165)
Correct Answer: (145, 150, 165)
Solution : Given: (73, 78, 93)
Add 5 to the first number to get the second number and add 15 to the second number to get the third number – ⇒ (73, 78, 93) → 73 + 5 = 78, 78 + 15 = 93
Question : If $p = 5 + 2\sqrt6$, then $\frac{\sqrt p - 1}{\sqrt p}$ is:
Option 1: $1 + \sqrt2 - \sqrt3$
Option 2: $1 - \sqrt2 + \sqrt3$
Option 3: $ - 1 + \sqrt2 - \sqrt3$
Option 4: $1 - \sqrt2 - \sqrt3$
Correct Answer: $1 + \sqrt2 - \sqrt3$
Solution : $p = 5 + 2\sqrt{6}$ = $(\sqrt{3})^2 + (\sqrt{2})^2 + 2\sqrt{6}$ = $(\sqrt{3} + \sqrt{2})^2 $ Now, $\sqrt{p}=\sqrt{3} + \sqrt{2}$ So, $\frac{1}{\sqrt{p}} = \sqrt{3} - \sqrt{2}$ (by rationalisation) Thus, $\frac{\sqrt{p} - 1}{\sqrt{p}} = \frac{\sqrt{p}}{\sqrt{p}} - \frac{{1}}{\sqrt{p}} = 1 - \frac{{1}}{\sqrt{p}}$ Putting
Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
Question : At a construction site, Raju can paint a wall in 36 hours, while Angad can do the same work in 18 hours. Sumit can paint the same wall in 24 hours. In how much time can they paint the wall if they all work together?
Option 1: 9 hours
Option 2: 12 hours
Option 3: 6 hours
Option 4: 8 hours
Correct Answer: 8 hours
Solution : The rate at which Raju can paint the wall is $\frac{1}{36}$ of the wall per hour. Similarly, the rates for Angad and Sumit are $\frac{1}{18}$ and $\frac{1}{24}$ of the wall per hour, respectively. When they all work together, their combined rate is, $\frac{1}{36} +
Question : The Finance Commission is constituted by the President at the expiration of every ______ year.
Option 1: tenth
Option 2: seventh
Option 3: sixth
Option 4: fifth
Correct Answer: fifth
Solution : The correct option is the fifth
The Finance Commission in India is constituted by the President at the expiration of every five years, or earlier, as per necessity. The Finance Commission is a constitutional body that plays a crucial role in recommending the distribution of
Question : The next term of the sequence $\left (1+\frac{1}{2} \right):\left (1+\frac{1}{2} \right) \left (1+\frac{1}{3} \right): \left (1+\frac{1}{2} \right)\left (1+\frac{1}{3} \right)\left (1+\frac{1}{4} \right): .........$ is:
Option 1: $3$
Option 2: $\left (1+\frac{1}{5} \right)$
Option 3: $5$
Option 4: $\left (1+\frac{1}{2} \right)\left (1+\frac{1}{5} \right)$
Correct Answer: $3$
Solution : Given sequence: $\left (1+\frac{1}{2} \right):\left (1+\frac{1}{2} \right) \left (1+\frac{1}{3} \right): \left (1+\frac{1}{2} \right )\left (1+\frac{1}{3} \right)\left (1+\frac{1}{4} \right): .........$ $T{_1}= 1+\frac{1}{2} = \frac{3}{2}$ $T{_2}= (1+\frac{1}{2})(1+\frac{1}{3}) = \frac{3}{2}\times \frac{4}{3}= 2$ $T{_3}= (1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4}) = \frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}= \frac{5}{2}$ $T{_4}= (1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4})(1+\frac{1}{5}) = \frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}\times \frac{6}{5}= 3$ Hence,
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 21
Option 2: 14
Option 3: 23
Option 4: 72
Correct Answer: 21
Solution : In a column of the given table, find the difference between the second and the third numbers and then multiply the resultant number by the first number to obtain the fourth number.
In the first column→(48 – 28) × 3 = 20 × 3 =
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 90, 110, 132, ?, 182
Option 1: 156
Option 2: 169
Option 3: 148
Option 4: 146
Correct Answer: 156
Solution : Given: 90, 110, 132, ?, 182
Add even numbers, starting from 20 to the previous term to obtain the missing term. 90 + 20 = 110; 110 + 22 = 132; 132 + 24 = 156; 156 + 26 = 182
So, 156 is the
Question : Directions: Which of the following interchange of numbers (not digits) would make the given equation correct? 16 × 5 ÷ 20 + 6 + 50 = 40
Option 1: 40, 50
Option 2: 6, 40
Option 3: 20, 40
Option 4: 5, 40
Correct Answer: 40, 50
Solution : Given: 16 × 5 ÷ 20 + 6 + 50 = 40
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 40, 50 ⇒ 16 × 5 ÷ 20 + 6 + 40
Question : Which of the following pair of plant disease–microorganisms is correct? I. Citrus canker – Virus II. Rust of wheat – Fungi
Option 1: Only II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Only II
Solution : The correct option is Only II
The rust on wheat is indeed caused by fungi. The term "rust" refers to a group of fungal diseases that affect various plants, including wheat. The most common rust affecting wheat is Puccinia graminis. Wheat rusts can lead
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