Staff Selection Commission Multi Tasking Staff Exam
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. All X are B. II. All N are X. Conclusions: I. All N are B. II. Some B are X.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All N are B – From the Venn diagram, it is evident that the circle representing N is completely overlapped
Question : Select the most appropriate synonym to substitute the bracketed word in the given sentence. Spreading from the ports, Formosan termites began a (subterranean) colonisation of the country.
Option 1: Terrestrial
Option 2: Underground
Option 3: Overt
Option 4: Subcutaneous
Correct Answer: Underground
Solution : The correct option is the second option.
Subterranean means underground or beneath the earth's surface. In the context of the sentence, it refers to the Formosan termites' colonisation underground, emphasising their activity beneath the surface. Underground refers to being beneath the surface of the earth,
Question : The radius of two spheres is in the ratio of 1 : 5. What is the ratio of the volume of the two spheres?
Option 1: 8 : 27
Option 2: 1 : 25
Option 3: 1 : 125
Option 4: 1 : 64
Correct Answer: 1 : 125
Solution : Let the radii r1 = $k$ and r2 = 5$k$ According to the question, ⇒ Volume of sphere 1 (V1) = $\frac{4}{3}\pi k^{3}$ ⇒ Volume of sphere 2 (V2) = $\frac{4}{3}\pi (5k)^{3}$ = $\frac{4}{3}\pi (125)k^{3}$ ⇒ Ratio of volumes = $\frac{V1}{V2}$
Question : Two vessels of equal capacity, and both completely filled, contain mixtures of milk and water in the ratio of 5 : 1 and 6 : 5, respectively. Both the mixtures are now mixed thoroughly. What is the ratio of milk to water in the new mixture so obtained?
Option 1: 105 : 67
Option 2: 57 : 41
Option 3: 91 : 41
Option 4: 28 : 43
Correct Answer: 91 : 41
Solution : Given: Ratio of milk and water in 1st vessel = 5 :1 The ratio of milk and water in 2nd vessel = 6 : 5 Let both the vessels have $x$ litres of mixtures. Total quantity of milk = $\frac{5x}{6}+ \frac{6x}{11}=\frac{91x}{66}$ Total quantity
Question : If the LCM of two numbers 260 and 390 is 780, then find the HCF.
Option 1: 140
Option 2: 133
Option 3: 130
Option 4: 120
Correct Answer: 130
Solution : Given numbers = 260 and 390 LCM = 780 We know, Multiplication of two numbers = HCF × LCM ⇒ 260 × 390 = 780 × HCF ⇒ HCF = 130 Hence, the correct answer is 130.
Question : Which of the following states has a bicameral Legislature as of March 2022?
Option 1: Odisha
Option 2: Gujarat
Option 3: Karnataka
Option 4: Kerala
Correct Answer: Karnataka
Solution : The correct answer is Karnataka.
The upper house of the Karnataka state legislature is called the Karnataka Legislative Council, formerly known as the Mysore Legislative Council.
The lower house of the bicameral legislature in India is called the Legislative Assembly, and Karnataka is one
Question : The following bar graph shows the number of girls in a school over 5 years. Find the percentage decrease in the number of girls from the year 2012 to the year 2013.
Option 1: 50%
Option 2: 40%
Option 3: 20%
Option 4: 30%
Correct Answer: 50%
Solution : According to the question, Initial Value (2012) = 28 Final Value (2013) = 14 $\therefore$ Percentage Decrease $=\frac{\text{ Initial Value – Final Value}}{\text{ Initial Value }} × 100 = \frac{ 28 – 14}{ 28} ×100 = \frac{ 14}{ 28}×100 = 50\%$ Hence, the correct answer
Question : What is the value of 1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465?
Option 1: 8
Option 2: 7.5
Option 3: 4
Option 4: 5.5
Correct Answer: 8
Solution : 1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465 = (1.65)3 + (0.35)3 + 3 × 1.65 × 0.35 × (1.65 + 0.35) Using $(a + b)^3 = a^3+b^3 + 3ab (a+b)$ = (1.65 + 0.35)3 = 2
Question : Select the INCORRECTLY spelt word.
Option 1: Accede
Option 2: Accost
Option 3: Abstruce
Option 4: Abnegation
Correct Answer: Abstruce
Solution : The incorrectly spelt word among the options is the third option.
Explanation:
To determine the correct spelling, it is essential to be familiar with the correct form of the word.
The term abstruse refers to something difficult to understand or comprehend. There should be a
Question : Anil alone takes 2 hrs 40 mins to complete a work and Sumit alone can complete the same work in half time of Anil. How much time will be taken by Sumit to complete the work?
Option 1: 70 mins
Option 2: 90 mins
Option 3: 75 mins
Option 4: 80 mins
Correct Answer: 80 mins
Solution : Given: Anil alone takes 2 hrs 40 mins to complete a work and Sumit alone can complete the same work in half the time of Anil. 2 hrs 40 mins = (2 × 60) + 40 = 160 mins. So, the time taken Sumit
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