Staff Selection Commission Multi Tasking Staff Exam
Question : If $(3x+y):(3 x-y)=4: 3$, then what is the value of $x: y$?
Option 1: 5 : 3
Option 2: 7 : 3
Option 3: 5 : 2
Option 4: 7 : 4
Correct Answer: 7 : 3
Solution : $(3x+y):(3x-y) = 4:3$ $⇒\frac{3x+y}{3x-y} = \frac{4}{3}$ $⇒9x+3y = 12x-4y$ $⇒3x=7y$ $\therefore x:y=7:3$ Hence, the correct answer is 7 : 3.
Question : Directions: In a certain code language, FAN is written as 21. How will TORCH be written in that language?
Option 1: 64
Option 2: 74
Option 3: 53
Option 4: 23
Correct Answer: 64
Solution : Given: FAN is written as 21.
Add the positional value of the letters FAN, to obtain the required code – F→6; A→1; N→14 6 + 1 + 14 = 21 Thus, FAN is coded as 21. Similarly, follow the same pattern for TORCH – T→20;
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
When it's your idea, you want to (1) ______ about it all the time. I've had this problem on more than a few occasions now. I know there shouldn't be any shame in (2) ______ your work, but it's such a task to draw the line. In my case, since my work is all things related to social media, this problem gets even (3) ______ convoluted. Long story short, I hate that I (4) ______ have to worry about when it's okay to promote, and when it's (5) ______
Question: Select the most appropriate option to fill in the blank number 5.
Option 1: not
Option 2: none
Option 3: nothing
Option 4: no
Correct Answer: not
Solution : The correct choice is the first option.
The word not in this context adds a sense of contrast. The speaker is expressing frustration about having to constantly worry about when it's appropriate to promote his work, and the use of "not" emphasises the times when
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part. (Rotation is not allowed.)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the first option figure.
Question : A car travels from A to B at 44 km/hr and returns from B to A at 66 km/hr. Find its average speed during the whole journey.
Option 1: 63.3 km/hr
Option 2: 52.8 km/hr
Option 3: 68.2 km/hr
Option 4: 55.4 km/hr
Correct Answer: 52.8 km/hr
Solution : $S_1$ = 66 km/hr $S_2$ = 44 km/hr Average speed = $\frac{2S_1S_2}{S_1+S_2}$ = $\frac{2×66×44}{66 + 44}$ = $\frac{2×66×44}{110}$ = $\frac{264}{5}$ = 52.8 km/hr Hence, the correct answer is 52.8 km/hr.
Question : The cost price of a watch is Rs. 750. If the loss percentage is 40 percent, then what is the value of loss?
Option 1: Rs. 300
Option 2: Rs. 280
Option 3: Rs. 420
Option 4: Rs. 220
Correct Answer: Rs. 300
Solution : Given, Cost Price = Rs. 750 Loss % = 40% $\therefore$ Value of the loss = $750\times\frac{40}{100}$ = Rs. 300 Hence, the correct answer is Rs. 300.
Question : Directions: Which two numbers must be interchanged to correct the following equation? 27 − 8 × 4 − 3 ÷ 2 = 1
Option 1: 2 and 8
Option 2: 2 and 3
Option 3: 3 and 4
Option 4: 8 and 4
Correct Answer: 3 and 4
Solution : Given: 27 − 8 × 4 − 3 ÷ 2 = 1
Let's check the options – First options: 2 and 8 27 − 2 × 4 − 3 ÷ 8 = 1 On solving the L.H.S. of the given equation – =
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No Error'. The Gryffindors trooped back up / to the castle, none of them talking; / it have been another long day.
Option 1: No Error
Option 2: The Gryffindors trooped back up
Option 3: It have been another long day
Option 4: To the castle, none of them talking
Correct Answer: It have been another long day
Solution : The correct choice is the third option.
The error lies in the use of the present tense "have" instead of the past tense "had". The correct sentence should convey that it "had been" another long day, indicating the past tense.
Question : When was the Gandhi-Irwin pact signed?
Option 1: 1928
Option 2: 1935
Option 3: 1929
Option 4: 1931
Correct Answer: 1931
Solution : The correct option is 1931.
The Gandhi-Irwin Pact is the name given to a political agreement concluded by Mahatma Gandhi and Lord Irwin, the then Viceroy of British India. This pact was signed before the second round table conference, which was to be held
Question : 15% of the marked price of an item is equal to 25% of its cost price. If a discount of 25% is given on the sale of the item, then what will be the profit percentage?
Option 1: 22.5%
Option 2: 20%
Option 3: 17.5%
Option 4: 25%
Correct Answer: 25%
Solution : Given: 15% of the marked price of an item is equal to 25% of its cost price. ⇒ $0.15\ MP = 0.25\ CP$ ⇒ $\frac{MP}{CP} = \frac{25}{15}$ ⇒ $\frac{MP}{CP} = \frac{5}{3}$ Use the formula, $\frac{CP}{MP}=\frac{100– D}{100+P}$ where $CP$, $MP$, $D$, and $P$ are the cost
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