Staff Selection Commission Combined Higher Secondary Level Exam
Question : The average number of runs scored by a batsman in 7 matches is 49 and in other 9 matches, the average is 27. What are the average runs scored by the batsman in these 16 matches?
Option 1: 35.725
Option 2: 28.475
Option 3: 40.25
Option 4: 36.625
Correct Answer: 36.625
Solution : Average runs scored in 16 innings = $\frac{\text{Runs scored in 9 innings + Runs scored in 7 innings}}{16}$ = $\frac{9 \times 27 + 7 \times 49}{16}$ = $\frac{243 + 343}{16}$ = $\frac{586}{16}$ = 36.625 Hence, the correct answer is 36.625.
Question : How much chicory, costing INR 100/kg, should be added to 40 kg of coffee costing INR 45/kg so that the mixture will be worth INR 60/kg?
Option 1: 12.5 kg
Option 2: 5 kg
Option 3: 17.5 kg
Option 4: 15 kg
Correct Answer: 15 kg
Solution : Given: Cost of chicory = INR 100 Cost of coffee = INR 45 Cost of mixture = INR 60 By using alligation: Ratio of Coffee = Cost of Chicory – Cost of mixture Coffee = 100 – 60 = 40 Ratio of Chicory =
Question : Choose the correctly spelt word.
Option 1: DODGE
Option 2: BRILIANT
Option 3: SIEZE
Option 4: RECEPROCATE
Correct Answer: DODGE
Solution : The correct choice is the first option.
The correctly spelt word is dodge.
The correct spellings of the remaining words are:
Question : Directions: Which of the following four options will replace the question mark (?) in the following series? 12, 36, ?, 102, 100, 300
Option 1: 68
Option 2: 34
Option 3: 52
Option 4: 76
Correct Answer: 34
Solution : Given: 12, 36, ?, 102, 100, 300
Multiply by 3 and subtract 2 alternatively to get the next term of the series – 12 × 3 = 36; 36 – 2 = 34; 34 × 3 = 102; 102 – 2 = 100; 100 ×
Question : The digit in unit's place of the product 49237 × 3995 × 738 × 83 × 9 is:
Option 1: 0
Option 2: 5
Option 3: 6
Option 4: 4
Correct Answer: 0
Solution : The product of unit digits of the 2nd and the 3rd number is (5 × 8) = 40. The unit digit of this product is 0. So the digit in the unit's place of the product 49237 × 3995 × 738 × 83 × 9
Question : Directions: Sales of Books (in thousand numbers) from six Branches - B1, B2, B3, B4, B5 and B6 of a publishing Company in 2000 and 2001. Study the graph and answer the questions.
Find the percentage increase in the sales of books of branch B3 in the year 2001 than the branch B2.
Option 1: 69.2%
Option 2: 50.8%
Option 3: 40.9%
Option 4: 65.7%
Correct Answer: 69.2%
Solution : The sales of books of branch B3 in the year 2001 = 110 thousands The sales of books of branch B2 in the year 2001 = 65 thousands Required percentage = $\frac{110-65}{65}\times 100$ = $\frac{45}{65}\times 100$ = 69.2% Hence, the correct answer is 69.2%.
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
They came here in (1) / the evening and begin making (2) / further arrangements. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Correct Answer: 2
Solution : The correct choice is the second option.
Explanation: The error is in the verb tense. The verb "begin" in the second part should be in the past tense to maintain grammatical consistency with the past tense verb "came" in the first part. Therefore,
Question : Directions: How many rectangles are there in the given figure?
Option 1: 8
Option 2: 9
Option 3: 5
Option 4: 7
Correct Answer: 8
Solution : The given figure can be labelled as follows –
In the above-labelled figure, there are a total of 8 rectangles. They are ABCD, CEFG, FHIY, YJKL, PNMO, GPQS, RSTU, TVWX.
Hence, the first option is correct.
Question : The act of writing new data into register:
Option 1: is possible only when the register is an accumulator
Option 2: is possible only when the register is an accumulator or instruction register
Option 3: erases the previous contents of the register
Option 4: is non - destructive to existing contents
Correct Answer: is possible only when the register is an accumulator or instruction register
Solution : The correct option is is possible only when the register is an accumulator or instruction register.
Writing new data into a register is only feasible if the register is an accumulator or instruction register.
Question : If the uncertainty in position and momentum are equal, the uncertainty in velocity will be:
Option 1: √h/π
Option 2: 1/2m√h/π
Option 3: √h/2π
Option 4: √h/2πm
Correct Answer: 1/2m√h/π
Solution : The correct option is 1/2 m√h/π.
According to Heisenberg's uncertainty principle, ∆x.∆p = h/π; ∆x.m∆v = h/4π. Given ∆x = m∆v; m∆v.m∆v = h/4π; m2∆v2 = h/4π; ∆v = √ h/4π × 1/m; ∆v = 1/2 m × √h/π
According to
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