Staff Selection Commission Multi Tasking Staff Exam
Question : The element with highest first ionisation energy is:
Option 1: Hydrogen
Option 2: Helium
Option 3: Lithium
Option 4: Sodium
Correct Answer: Helium
Solution : The correct option is Helium.
Ionisation energy is the energy required to remove an electron from a neutral atom, forming a positively charged ion. Helium has the highest ionisation energy because it has the smallest atomic size among all the elements and a full electron shell (1s²), making it very stable and resistant to losing its electrons. This results in a high energy requirement to remove an electron from a helium atom.
Question : At what rate percent per annum will a sum of money triples in 20 years on simple interest?
Option 1: 10%
Option 2: 12%
Option 3: 18%
Option 4: 20%
Correct Answer: 10%
Solution : Let $P$ be the principal sum. Total amount = $3P$ Simple interest = $3P- P$ = $2P$ Term, $n$ = 20 years Let $R$ be the rate of interest. Simple interest, SI = $\frac{PnR}{100}$ ⇒ $2P = \frac{P×20×R}{100}$ ⇒ $R= \frac{200}{20}= 10$% Hence, the correct answer is 10%.
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : Directions: In a certain code language, HEG is coded as 840, and JFD is coded as 720. What is the code for JDK in that code language?
Option 1: 1380
Option 2: 1320
Option 3: 1280
Option 4: 1400
Correct Answer: 1320
Solution : Given: HEG is coded as 840, JFD is coded as 720.
Multiply the positional values of the letters of HEG, and then the resultant is multiplied by 3, to obtain the required code – H→8; E→5; G→7 (8 × 5 × 7) × 3 = 840 Thus, HEG is coded as 840. And, JFD is coded as 720 – J→10; F→6; D→4 (10 × 6 × 4) × 3 = 720 Similarly, follow the same pattern for JDK→ J→10; D→4; K→11 (10 × 4 × 11) × 3 = 1320
So, JDK is coded as 1320. Hence, the second option is correct.
Question : Successive discounts of 33% and 30% are equivalent to what single discount?
Option 1: 60.4%
Option 2: 50.5%
Option 3: 45.9%
Option 4: 53.1%
Correct Answer: 53.1%
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. Here $a$ = 33% and $b$ = 30% So, Single equivalent discount $= 33+30 - \frac{33×30 }{ 100}=63-9.9 = 53.1$% Hence, the correct answer is 53.1%.
Question : A man bought an old printer for Rs. 2200 and spent Rs. 800 on its repair. He sold it for Rs. 3600. Find his profit percentage.
Option 1: 30%
Option 2: 20%
Option 3: 15%
Option 4: 25%
Correct Answer: 20%
Solution : Given: A man bought an old printer for Rs. 2200 and spent Rs. 800 on its repair. He sold it for Rs. 3600. The total cost of the printer (CP) = (2200 + 800) = Rs. 3000 The selling price (SP) = Rs. 3600 Profit percentage = $\frac{SP-CP}{CP}×100$ = $\frac{3600-3000}{3000}×100$ = 20% Hence, the correct answer is 20%.
Question : Directions: In the following question, select the missing number of the given series. 108, 129, 104, ?, 100, 137, 96
Option 1: 138
Option 2: 135
Option 3: 133
Option 4: 140
Correct Answer: 133
Solution : Given: 108, 129, 104, ?, 100, 137, 96
Add and subtract alternatively starting with 21 in each number with a difference of 4, to get the required missing number – 108 + 21 = 129; 129 – 25 = 104; 104 + 29 = 133; 133 – 33 = 100; 100 + 37 = 137; 137 – 41 = 96
So, 133 is the required missing number of the series. Hence, the third option is correct.
Question : When a sum of money was equally distributed among 50 children, each child received INR 80. If the same amount is equally distributed among another group of children such that each child gets INR 50, then what is the number of children in the second group?
Option 1: 50
Option 2: 80
Option 3: 60
Option 4: 40
Correct Answer: 80
Solution : Let the number of the second group be $x$. According to the question, $x$ × 50 = 50 × 80 ⇒ $x$ = $\frac{50 × 80}{50}$ $\therefore x$ = 80 Hence, the correct answer is 80.
Question : The simple interest on a certain sum of money for 2 years at 7% per annum is double the compound interest on INR 1,000 for 2 years at 10% per annum, compounded annually. What is the sum placed on simple interest?
Option 1: INR 1,000
Option 2: INR 2,000
Option 3: INR 3,000
Option 4: INR 4,000
Correct Answer: INR 3,000
Solution : Simple interest on a certain sum of money for 2 years at 7% per annum = 2 × compound interest on INR 1,000 for 2 years at 10% per annum According to the question, $\frac{P_1nR}{100}= 2 × [P_2(1+\frac{R}{100})^n - P_2]$ Here $P_1$ is the principal for simple interest and $P_2$ is the principal for compound interest. So,$\frac{P_1×2×7}{100}= 2 × [1000(1+\frac{10}{100})^2 - 1000]$ ⇒ $\frac{14P_1}{100}= 2 × [1000(\frac{11}{10})^2 - 1000]$ ⇒ $\frac{14P_1}{100}= 2 × 1000×(\frac{121}{100}-1)$ ⇒ $\frac{14P_1}{100}= 2 × 1000×\frac{21}{100}$ ⇒ $P_1 = \frac{42000}{14}=3000$ Hence, the correct answer is INR 3,000.
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
An ‘occupational disease’ is any disease (1)______ primarily by exposure at work (2)______ a physical, organisational, chemical or biological risk (3)______ or to a combination of these factors. Occupational diseases are (4)______ those listed in national legislation as resulting from exposure to risk factors at (5)______.
Select the most appropriate option to fill in the blank number 2.
Option 1: in
Option 2: on
Option 3: of
Option 4: to
Correct Answer: to
Solution : The fourth option is correct.
Example: "I am going to the store."
Hence, the correct option is to.
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