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Staff Selection Commission Sub Inspector Exam

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10 Views

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

Team Careers360 19th Jan, 2024

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

9 Views

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)

Team Careers360 20th Jan, 2024

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,

13 Views

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: $2x(x + 3y)$

Team Careers360 18th Jan, 2024

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 $2y(x-3y)$

10 Views

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

Team Careers360 20th Jan, 2024

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.

17 Views

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

Team Careers360 22nd Jan, 2024

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

18 Views

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:

Team Careers360 24th Jan, 2024

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

10 Views

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

Team Careers360 22nd Jan, 2024

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

10 Views

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

Team Careers360 20th Jan, 2024

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,

41 Views

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

Team Careers360 20th Jan, 2024

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

16 Views

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

Team Careers360 20th Jan, 2024

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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