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Staff Selection Commission Sub Inspector Exam

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Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side of the figure.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer 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

38 Views

Question : The weight of Mr. Gupta and Mrs. Gupta are in the ratio 7 : 8 and their total weight is 120 kg. After taking a dieting course, Mr. Gupta reduced by 6 kg and the ratio between their weights changed to 5 : 6. So Mrs. Gupta has reduced by:

Option 1: 2 kg

Option 2: 4 kg

Option 3: 3 kg

Option 4: 5 kg

Team Careers360 22nd Jan, 2024

Correct Answer: 4 kg


Solution : Initial ratio = 7 : 8
Initial total weight = 120 kg
Initial weight of Mr. Gupta = $\frac{7×120}{7+8}$ = 56 kg
Initial weight of Mrs. Gupta = $\frac{8×120}{7+8}$ = 64 kg
Reduced weight of Mr. Gupta = 56 – 6 = 50 kg

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Question : A sphere and another solid hemisphere have the same surface area. The ratio of their volumes is:

Option 1: $2 \sqrt{3}: 8$

Option 2: $3 \sqrt{3}: 8$

Option 3: $3 \sqrt{3}: 4$

Option 4: $\sqrt{3}: 4$

Team Careers360 24th Jan, 2024

Correct Answer: $3 \sqrt{3}: 4$


Solution : Let $R$ and $r$ be the radius of the solid sphere and the solid hemisphere respectively.
Now the surface area of the solid sphere and the solid hemisphere are $4\pi R^2$ and $3\pi r^2$
According to the problem,
$4\pi R^2 = 3\pi r^2$

97 Views

Question : Mita's income is 25% more than that of Sita. What percentage is Sita's income less than that of Mita?

Option 1: $25$%

Option 2: $24$%

Option 3: $22\frac{1}{2}$%

Option 4: $20$%

Team Careers360 7th Jan, 2024

Correct Answer: $20$%


Solution : Given: Mita's income is 25% more than that of Sita.
Let Sita's income be 100 units.
Then, Mita's income = $(100+100×\frac{25}{100})=125$ units
So, Sita's income is less than Mita's income by
= $\frac{(125–100)}{125}×100=20$%.
Hence, the correct answer is $20$%.

106 Views

Question : Hydroscope is an instrument that shows changes in:

Option 1: sound underwater

Option 2: atmospheric humidity

Option 3: pressure fluctuations

Option 4: elevation of land

Team Careers360 25th Jan, 2024

Correct Answer: pressure fluctuations


Solution : The correct option is pressure fluctuations.

A Hydroscope is a device that displays changes in water level, or pressure. It measures changes in water depth or level in a specific region, such as a river, lake, or reservoir. They give essential information for

469 Views

Question : In a 1200 m race, Rakesh reaches the final point in 36 seconds and Rajesh reaches in 40 sec. By how much distance does Rakesh beat Rajesh?

Option 1: 130 m

Option 2: 120 m

Option 3: 140 m

Option 4: 150 m

Team Careers360 23rd Jan, 2024

Correct Answer: 120 m


Solution : Given,
In a 1200 m race, Rakesh reaches the final point in 36 seconds and Rajesh reaches in 40 sec
According to the question,
Rakesh beats Rajesh by (40 – 36) seconds = 4 seconds
⇒ Speed of Rajesh = $\frac{1200}{40}= 30$ m/s
$\therefore$

87 Views

Question : The heights of two cones are in the ratio 7 : 5 and their diameters are in the ratio 10 : 21.
What is the ratio of their volumes? (Where $\pi=\frac{22}{7}$)

Option 1: 26 : 47

Option 2: 14 : 19

Option 3: 20 : 63

Option 4: 17 : 21

Team Careers360 24th Jan, 2024

Correct Answer: 20 : 63


Solution : Ratio of heights, $h_1:h_2 =\frac{h_1}{h_2} = \frac{7}{5}$
Ratio of diameters, $d_1 : d_2 = \frac{d_1}{d_2} = \frac{10}{21}$
⇒ Ratio of radii, $r_1 : r_2 = \frac{r_1}{r_2} = \frac{10}{21}$
Ratio of volumes of cones, $V_1 : V_2 = \frac{\frac{1}{3} \pi r_1^2 h_1}{\frac{1}{3} \pi r_2^2

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