Staff Selection Commission Combined Higher Secondary Level Exam
Question : An elephant of length 4 m is at one corner of a rectangle cage of size (16m × 30m) and faces towards the diagonally opposite corner. If the elephant starts moving towards the diagonally opposite corner, it takes 15 seconds to reach this corner. Find the speed of the elephant.
Option 1: 1 m/sec
Option 2: 2 m/sec
Option 3: 1.87 m/sec
Option 4: 1.5 m/sec
Correct Answer: 2 m/sec
Solution : Given: Length of rectangular cage = 16 metre Breadth = 30 meter Time = 15 seconds Now, $AC = \sqrt{AB^2+BC^2}$ $= \sqrt{30^2+16^2}$ $= \sqrt{900+256} = \sqrt{1156} = 34$ metre Distance travelled by elephant = $AC$ - length of the elephant = 34 – 4
Question : Which radioactive isotope has a half-life of 5770 years, commonly used to estimate the age of organic materials such as paper and parchment?
Option 1: 9C
Option 2: 12C
Option 3: 14C
Option 4: 17C
Correct Answer: 14C
Solution : The correct option is 14C.
Carbon-14 (C-14) has a half-life of approximately 5,770 years and is commonly used in radiocarbon dating to estimate the age of organic materials. Carbon-14 is used in radiocarbon dating because it undergoes radioactive decay, providing a reliable
Question : The value of $\frac{1}{1+\sqrt{2}+\sqrt{3}}+\frac{1}{1-\sqrt{2}+\sqrt{3}}$ is:
Option 1: $\sqrt{2}$
Option 2: $\sqrt{3}$
Option 3: $1$
Option 4: $4(\sqrt{3}+\sqrt{2})$
Correct Answer: $1$
Solution : $\frac{1}{1+\sqrt{2}+\sqrt{3}}+\frac{1}{1-\sqrt{2}+\sqrt{3}}$ $= \frac{1}{(1+\sqrt{3})+\sqrt{2}}+\frac{1}{(1+\sqrt{3})-\sqrt{2}}$ $= \frac{1+\sqrt{3}-\sqrt{2}+1+\sqrt{3}+\sqrt{2}}{[(1+\sqrt{3})+\sqrt{2}][(1+\sqrt{3})-\sqrt{2}]}$ $= \frac{2\sqrt{3}+2}{(1+\sqrt{3})^{2}-(\sqrt{2})^{2}}$ $= \frac{2\sqrt{3}+2}{1+3+2\sqrt{3}-2}$ $= \frac{2\sqrt{3}+2}{2\sqrt{3}+2}$ $=1$ Hence, the correct answer is $1$.
Question : Select the most appropriate meaning of the given idiom.
Wear your heart on your sleeve.
Option 1: To openly display one's emotions.
Option 2: To suspect a trick.
Option 3: To understand.
Option 4: To go through a heart break.
Correct Answer: To openly display one's emotions.
Solution : The correct choice is the first option.
The idiom wear your heart on your sleeve means to openly show or display one's emotions, feelings, or affections without trying to hide them. It refers to someone who doesn't conceal their emotions
Question : The pie chart given below shows the runs scored by 5 batsmen in a cricket match. The total runs scored by these batsmen are 400. Runs scored by a batsman are shown as a percentage of runs scored by all these five batsmen:
What is the ratio of runs scored by D to the runs scored by H?
Option 1: 4 : 1
Option 2: 1 : 5
Option 3: 3 : 1
Option 4: 1 : 3
Correct Answer: 3 : 1
Solution : Total Runs scored = 400 Runs scored by the batsman D = 15% of 400 = $\frac{15}{100}\times400=60$ Runs scored by the batsman H = 5% of 400 = $\frac{5}{100}\times400=20$ Required ratio = 60 : 20 = 3 : 1 Hence, the correct answer
Question : Select the INCORRECTLY spelt word. The Special Task Force will conduct a thorough probe in the land scam case which has Mr. Lakhan Lal as the prime akused.
Option 1: Scam
Option 2: Prime
Option 3: Thorough
Option 4: Akused
Correct Answer: Akused
Solution : The incorrectly spelt word is the fourth option.
The correct spelling is "accused".
"Accused" refers to a person officially charged with a crime or wrongdoing. In the context provided, it refers to Mr Lakhan Lal being the primary suspect in the land scam case.
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operations(s) on the first number. The same operation(s) is/are followed in all the number pairs except one. Find that odd number pair.
Option 1: 14 : 77
Option 2: 25 : 86
Option 3: 31 : 94
Option 4: 22 : 85
Correct Answer: 25 : 86
Solution : Let's check the options – First option: 14 : 77; 77 – 14 = 63 Second option: 25 : 86; 86 – 25 = 61 ≠ 63 Third option: 31 : 94; 94 – 31 = 63 Fourth option: 22 : 85; 85
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
When Mayank came, / I shall go / with him to / the circus.
Option 1: with him to
Option 2: When Mayank came
Option 3: I shall go
Option 4: the circus.
Correct Answer: When Mayank came
Solution : The second option is the correct choice.
Came is in the past tense, but we are talking about a future event, i.e., Mayank's arrival, so came should be changed to comes as per the first conditional. According to the first conditional, if the
Question : Ashima borrowed INR 75,000 from a nationalised bank on 26th March 2022 at the rate of 9% per annum simple interest. If she cleared the account on 7th June of the same year, then what amount did she pay?
Option 1: INR 75,000
Option 2: INR 76,350
Option 3: INR 71,350
Option 4: INR 75,350
Correct Answer: INR 76,350
Solution : Principle = INR 75,000 Rate = 9% Time = 73 days = $\frac{73}{365}$ years Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ Simple interest = $\frac{75000\times9\times\frac{73}{365}}{100}$ ⇒ Simple interest = $\frac{750\times9\times 73}{365}$ ⇒ Simple interest = INR 1350 Now, Amount = Simple Interest
Question : Directions: What should come in place of the question mark (?) in the given series? 254, 251, 245, 236, 224, ?
Option 1: 212
Option 2: 209
Option 3: 210
Option 4: 206
Correct Answer: 209
Solution : Given: 254, 251, 245, 236, 224, ?
Subtract the consecutive multiples of 3 from the previous number to obtain the next number of the series. 254 – 3 = 251; 251 – 6 = 245; 245 – 9 = 236; 236 – 12 = 224;
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