Staff Selection Commission Multi Tasking Staff Exam
Question : The Largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere?
Option 1: $\frac{792}{7}$ cm3
Option 2: $\frac{144}{7}$ cm3
Option 3: $\frac{133}{3}$ cm3
Option 4: $\frac{144}{3}$ cm3
Correct Answer: $\frac{792}{7}$ cm3
Solution : Side of cube = diameter of sphere = 6 cm ⇒ Radius, $r$ = 3 cm $\therefore$ The volume of the sphere = $\frac{4}{3} \pi r^3$ = $\frac{4}{3}×\frac{22}{7}×3^3$ = $\frac{792}{7}$ cm3 Hence, the correct answer is $\frac{792}{7}$ cm3.
Question : Directions: In the following question, select the related number from the given alternatives. 8 : 28 :: 27 : ?
Option 1: 8
Option 2: 28
Option 3: 64
Option 4: 65
Correct Answer: 65
Solution : Given: 8 : 28 :: 27 : ?
Like, 8 : 28→23 + 0 = 8 + 0 = 8; 33 + 1 = 27 + 1 = 28 Similarly, for 27 : ?→33 + 0 = 27 + 0 = 27;
Question : The radius of a right circular cylinder is 7 cm. Its height is thrice its radius. What is the curved surface area of the cylinder?
Option 1: 724 cm2
Option 2: 666 cm2
Option 3: 924 cm2
Option 4: 264 cm2
Correct Answer: 924 cm2
Solution : Given: The radius of a right circular cylinder, $r$ = 7 cm Its height, $h$ is thrice its radius = 7 × 3 = 21 cm The curved surface area of the cylinder $=2\pi rh$ $=2\times \frac{22}{7}\times 7\times 21=924$ cm2 Hence, the
Question : Directions: In a certain code language, CENTRE is coded as 982748, and DEVICE is coded as 583098. What is the code for DIRECT in that code language?
Option 1: 506897
Option 2: 694879
Option 3: 504897
Option 4: 564897
Correct Answer: 504897
Solution : Given: CENTRE is coded as 982748, and DEVICE is coded as 583098.
Comparing the letters of CENTRE and DEVICE, we have two E and one C common in both. In the code, 8 is repeated, and 9 is common. Therefore, E = 8 and C
Question : What is the average of the squares of the first five natural numbers?
Option 1: 11.5
Option 2: 10
Option 3: 12.5
Option 4: 11
Correct Answer: 11
Solution : The sum of the square of first $n$ natural numbers = $\frac{n(n+1)(2n+1)}{6}$, where $n$ is the number of numbers. Here, $n = 5$ ⇒ Sum = $\frac{5(5+1)(10+1)}{6}=\frac{5(6)(11)}{6}=55$ $\therefore$ Average $=\frac{55}{5}=11$ Hence, the correct answer is 11.
Question : Suggi is a famous folk dance form of ______ state of India.
Option 1: Karnataka
Option 2: Chhattisgarh
Option 3: Punjab
Option 4: Sikkim
Correct Answer: Karnataka
Solution : The correct answer is Karnataka.
Suggi is a famous folk dance form of the state of Karnataka in India. It is particularly associated with the rural and agricultural communities in Karnataka and is performed during festivals and harvest seasons.
Question : Directions: Find out the wrong number from the given series. 5, 27, 61, 122, 213, 340, 509
Option 1: 27
Option 2: 61
Option 3: 122
Option 4: 509
Correct Answer: 27
Solution : Given: 5, 27, 61, 122, 213, 340, 509
The following pattern is being followed in the given series – (2)3 – 3 = 8 – 3 = 5; (3)3 – 3 = 27 – 3 = 24 ≠ 27; (4)3 – 3
Question : The following table shows the number of trucks of 6 different brands sold from a showroom during a given period of time.
There are 8 tyres on each truck, irrespective of the brand of the truck. What is the average number of tyres per brand?
Option 1: 280
Option 2: 300
Option 3: 260
Option 4: 240
Correct Answer: 280
Solution : Average = $\frac{\text{Sum of Observations}}{\text{Number of Observations}}$ Average = $\frac{8 \times {(45+35+36+44+28+22)}}{6}$ = 280 $\therefore$ The average number of tyres per brand is 280. Hence, the correct answer is 280.
Question : Who wrote "Ain - i - Akbari" the great historical work ?
Option 1: Abul Fazal
Option 2: Amir Khusrau
Option 3: Firoz Shah
Option 4: Abdul Rashid
Correct Answer: Abul Fazal
Solution : Correct Answer is Abul Fazl
Abul Fazl was the younger brother of Faizi, a well-known poet in the court of Akbar, and the son of Sheik Mubarak, a renowned Sufi from Persia. The Ain-i-Akbari, also known as the "Administration of Akbar," was written in
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. Some X are B. II. Some Y are X. Conclusions: I. Some B are Y. II. Some B are X. III. Some X are Y.
Option 1: Only conclusions II and III follow
Option 2: Only conclusion II follows
Option 3: Only conclusion III follows
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusions II and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some B are Y – From the Venn diagram, it is evident that there is no definite relation between B
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