Staff Selection Commission Multi Tasking Staff Exam
Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?
Option 1: 5 : 7
Option 2: 3 : 4
Option 3: 5 : 9
Option 4: 4 : 5
Correct Answer: 5 : 7
Solution : According to the question, $\frac{V_1}{V_2}$ = $\frac{7}{5}$ and, $\frac{h1}{h2}$ = $\frac{5}{7}$ Now, $\frac{V_1}{V_2}$ = $\frac{πr_1^{2}h_1}{πr_2^{2}h_2}$ ⇒ $\frac{7}{5}$ = $\frac{5×r_1^{2}}{7×r_2^{2}}$ ⇒ 49 × $r_1^{2}$ = 25 × $r_2^{2}$ ⇒ $\frac{r_1}{r_2}$ = $\frac{\sqrt{25}}{\sqrt{49}}$ = $\frac{5}{7}$ Hence, the correct answer is 5 : 7.
Question : Which among the following states does not produce coal in India?
Option 1: Chhattisgarh
Option 2: Odisha
Option 3: Gujarat
Option 4: Jharkhand
Correct Answer: Gujarat
Solution : The correct option is Gujarat.
Gujarat is not a major coal-producing state in India. While it has some reserves, the coal production in Gujarat is relatively limited compared to states like Jharkhand, Chhattisgarh, Odisha and others. The significant coal-producing states in India are primarily
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. HP : DT :: RX : ?
Option 1: MB
Option 2: MC
Option 3: NC
Option 4: NB
Correct Answer: NB
Solution : Given: HP : DT :: RX : ?
Subtract 4 from the positional value of the first alphabet and add 4 to the positional value of the second alphabet – Like, HP : DT→H – 4 = D; P + 4 = T Similarly, for
Question : The marked price of one pen is Rs. 'x'. The selling price of one packet of 'x' pens, after a discount of 15%, is Rs.1,360. What is the value of 'x'?
Option 1: 20
Option 2: 40
Option 3: 30
Option 4: 45
Correct Answer: 40
Solution : Given, The marked price of one pen is Rs. x Discount is given: 15% Selling price of one packet of 'x' pens after discount: Rs. 1,360 We know, Selling price = Marked price - Discount Now, the marked price of x pens = x2
Question : Directions: If a mirror is placed on line AB, then which of the answer figures is the right image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed at the bottom of the figure (on line AB). So, the top of the reflected image will appear as its bottom
Question : As per Schedule 8 of the Indian Constitution, how many official languages are there in India?
Option 1: 22
Option 2: 12
Option 3: 42
Option 4: 32
Correct Answer: 22
Solution : The correct answer is 22.
Articles 343 to Article 351 of the Indian Constitution contain language-related requirements. The Indian Constitution's 8th Schedule comprises 22 languages.
The 21st Amendment Act of 1967 added Sindhi; the 71st Amendment Act of 1992 added Konkani, Manipuri, and Nepali;
Question : The ratio of the total surface areas of the two cubes is 49 : 81. What is the ratio of their volumes?
Option 1: 343 : 729
Option 2: 294 : 486
Option 3: 7 : 9
Option 4: 49 : 121
Correct Answer: 343 : 729
Solution : Given: The ratio of the total surface areas of the two cubes is 49 : 81. The volume of the cube = $x^3$, The total surface area of the cube = $6x^2$ where $x$ is the side of the cube. Let the sides
Question : Simone Biles is associated with which sports?
Option 1: Swimming
Option 2: Badminton
Option 3: Gymnastics
Option 4: Table tennis
Correct Answer: Gymnastics
Solution : The correct option is gymnastics.
Simone Biles is associated with gymnastics. She is an American artistic gymnast widely regarded as one of the greatest gymnasts of all time, known for her incredible athleticism and numerous achievements in the sport. With a record-breaking 30 Olympic and
Question : By selling an article for INR 600, a person made a profit of 50%. What was the cost price of this article?
Option 1: INR 300
Option 2: INR 450
Option 3: INR 400
Option 4: INR 350
Correct Answer: INR 400
Solution : Given: By selling an article for INR 600, a person made a profit of 50%. We know, Profit percentage = $\frac{\text{Selling Price - Cost Price}}{\text{Cost Price}}\times 100$ Let the cost price of the article be $x$. ⇒ $\frac{600−x}{x}×100=50$ ⇒ $60000−100x=50x$ ⇒ $x=\frac{60000}{150}$ ⇒ $x=400$
Question : The time taken by boat to cover a distance of x km in upstream is 3 hours more than the time taken by the boat to cover the same distance in downstream. The speed of the boat in upstream is 8 km/hr. Which of the following statement(s) is/are correct? I. If the value of x is 48 km, then the speed of the boat in downstream is 16 km/hr. II. If the speed of the boat in downstream is 12 km/hr, then the value of x is 48 km.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Only I
Solution : Let the speed of the boat downstream as $d$ km/hr. The time taken by the boat to cover $x$ km in downstream = $\frac{x}{d}$ hours Upstream = $\frac{x}{8}$ hours According to the question, $\frac{x}{8} = \frac{x}{d} + 3$ Now check the statements: I. If
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