Staff Selection Commission Sub Inspector Exam
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:
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
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
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
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: $\sqrt{3}: 4$
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, $4\pi R^2 = 3\pi r^2$
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: $20$%
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 $20$%.
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
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
Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols. If – denotes divided by, + denotes subtracted from, × denotes added to, and ÷ denotes multiplied by, then 4 ÷ 16 × 5 + 4 – 2 = ?
Option 1: 2
Option 2: 43
Option 3: 22
Option 4: 67
Correct Answer: 67
Solution : Given: 4 ÷ 16 × 5 + 4 – 2 = ?
On replacing the mathematical signs as per the instructions given, we get – = 4 × 16 + 5 – 4 ÷ 2 = 4 × 16 + 5 – 2 = 64
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
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 $\therefore$
Question : Directions: P & Q means P is the daughter of Q P ? Q means P is the son of Q P * Q means P is the sister of Q P = Q means P is the father of Q If D & G * U ? F, how is G related to F?
Option 1: Father's sister
Option 2: Mother's sister
Option 3: Brother
Option 4: Daughter
Correct Answer: Daughter
Solution : Given: P & Q ⇒ P is the daughter of Q P ? Q ⇒ P is the son of Q P * Q ⇒ P is the sister of Q P = Q ⇒ P is the father of Q
As per the given
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
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
Question : Sukhvir purchased some perishable items for sale but 30% of those items could not be sold and went bad. However, Sukhvir managed to sell the rest of the items at a price that helped him earn an overall profit of 19%. At what percentage above the cost price of each item purchased by Sukhvir did he sell each of the items that did not go bad?
Option 1: 49%
Option 2: 70%
Option 3: 63%
Option 4: 75%
Correct Answer: 70%
Solution : Let C as the cost price of each item, S as the selling price of each item that did not go bad and n as the total number of items. From the problem, 30% of the items went bad, so Sukhvir sold 70% of the
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