Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the dice that can be formed by folding the given sheet in the form of a cube.
Option 1: 1 and 4 can be formed
Option 2: Only 3 can be formed
Option 3: Only 2 can be formed
Option 4: None can be formed
Correct Answer: None can be formed
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the
Question : A retailer offers the following discount schemes for buyers on an item. (i) Two successive discounts of 15% (ii) A discount of 20% followed by a discount of 10% (iii) A discount of 30% Under which scheme the selling price will be the maximum?
Option 1: (ii)
Option 2: (ii) and (iii)
Option 3: (i) and (ii)
Option 4: (i)
Correct Answer: (i)
Solution : We know, Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. i) Two successive discounts of 15%: The effective discount, $= 15 + 15 - \frac{15×15}{100} = 27.75$% ii) A discount of 20% followed by a discount of 10%: The effective discount,
Question : Simplify the given expression. $(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)$
Option 1: $2y(x - 3y)$
Option 2: $2y(x + 3y)$
Option 3: $2x(x - 3y)$
Option 4: $2x(x + 3y)$
Correct Answer: $2y(x - 3y)$
Solution : Given expression, $(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)$ = $xy-3x^2-2y^2+6xy+x^2-y^2+2x^2+xy-6xy-3y^2$ = $2xy-6y^2$ = $2y(x-3y)$ Hence, the correct answer is $2y(x-3y)$
Question : The value of $\frac{\sqrt[3]{-2744} \times \sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}}$ is:
Option 1: 164
Option 2: 152
Option 3: 189
Option 4: 156
Correct Answer: 189
Solution : Given expression, $\frac{\sqrt[3]{-2744} \times \sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}}$ = $\frac{\sqrt[3]{-14\times-14\times-14}\times\sqrt[3]{-6\times-6\times-6}}{\sqrt[3]{\frac{4\times4\times4}{9\times9\times9}}}$ = $\frac{-14\times(-6)}{\frac{4}{9}}$ = $\frac{14\times6\times9}{4}$ = 189 Hence, the correct answer is 189.
Question : In India, from June to September, which type of weather prevails?
Option 1: Autumn
Option 2: Winter
Option 3: Spring
Option 4: Monsoon / Rainy season
Correct Answer: Monsoon / Rainy season
Solution : The correct answer is the Monsoon / Rainy season.
In India, from June to September, the prevailing weather is characterised by the monsoon season. During this period, the southwest monsoon brings heavy rainfall to various parts of the country, contributing significantly
Question : Directions: Select the answer figure that is the correct mirror image of the given figure when the mirror is held on the right side.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, close things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure. So, the left side of the reflected image will appear as the right
Question : Why was the 'Tendulkar Committee' constituted?
Option 1: To measure unemployment
Option 2: To measure growth rate
Option 3: To measure poverty
Option 4: To measure agricultural produce
Correct Answer: To measure poverty
Solution : The correct option is To measure poverty.
The Tendulkar Committee was formed to assess poverty and Suresh Tendulkar was the head of the committee. It was formed in 2005. It unveiled a fresh method to measure poverty. It recommends abandoning the calorie-based methodology
Question : Find the value of $a$ in the following equation. (Given $a<10 $) $\frac{(187 \div 17 \times a-3 \times 3)}{\left(8^2-9 \times 7+a^2\right)}=1$
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
Correct Answer: 1
Solution : $\frac{(187 \div 17 \times a-3 \times 3)}{\left(8^2-9 \times 7+a^2\right)}=1$ $⇒\frac{(11a-9)}{\left(a^2+1\right)}=1$ $⇒11a - 9 = a^2 + 1$ $⇒a^2 - 11a + 10 = 0$ $⇒(a - 10)(a - 1) = 0$ $⇒a = 10$ and $a = 1$ Since $a<10$ So, $a = 1$ Hence,
Question : Which of the following activities is also referred to as the "Gold Collar" profession?
Option 1: Secondary
Option 2: Quaternary
Option 3: Primary
Option 4: Quinary
Correct Answer: Quinary
Solution : The correct answer is the Quinary.
Quinary is also referred to as the “Gold Collar” profession. They represent another subdivision of the tertiary sector, which symbolises special and highly paid skills of financial and legal consultants, research assistants, government officials, etc. White Collar profession
Question : When the radius of a sphere is increased by 5 cm, its surface area increases by 704 cm2. The diameter of the original sphere is _________. (Take $\pi=22 / 7$ )
Option 1: 8.2 cm
Option 2: 6.8 cm
Option 3: 5.2 cm
Option 4: 6.2 cm
Correct Answer: 6.2 cm
Solution : Let the radius of the sphere be $r$ cm = 4$\pi r^{2}$. New radius = $r + 5$ According to the question, 4$\pi (r + 5)^{2}$ = 704 ⇒ 4$\pi[(r + 5)^{2} - r^{2}$] = 704 ⇒ 4 × $\frac{22}{7}[r^{2} + 25 + 10r
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