Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair. (NOTE: Operations should be performed on whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying, etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 31 : 215
Option 2: 29 : 201
Option 3: 21 : 145
Option 4: 25 : 177
Correct Answer: 25 : 177
Solution : Let's check the options –
First option: 31 : 215→(31 × 7) – 2 = 217 – 2 = 215 Second option: 29 : 201→(29 × 7) – 2 = 203 – 2 = 201 Third option: 21 : 145→(21 × 7) –
Question : Directions: Select the triad from the below options that have the same analogy as the following triads. (NOTE: Operations should be performed on the whole numbers without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 6 : 36 : 216 17 : 289 : 4913
Option 1: 22 : 440 : 9000
Option 2: 21 : 400 : 9200
Option 3: 21 : 441 : 9261
Option 4: 22 : 400 : 9999
Correct Answer: 21 : 441 : 9261
Solution : Given: (6 : 36 : 216); (17 : 289 : 4913)
In the above-given triads, the second and third numbers are equal to the square and cube of the first number. 6 : 36 : 216→6; (6)2 = 36; (6)
Question : Which type of seeds played an important role in the Green Revolution in India?
Option 1: High Nutritional Variety
Option 2: Low Nutritional Variety
Option 3: High Yielding Variety
Option 4: Low Yielding Variety
Correct Answer: High Yielding Variety
Solution : The correct answer is High Yielding Variety.
During the Green Revolution, which started in the 1960s, mechanised farm equipment, High Yielding Variety (HYV) seeds, fertilisers, irrigation systems, pesticides and fertilisers were used to transform Indian agriculture into a contemporary industrial system.
Question : Which of the following is one of the objectives of the "Swadesh Darshan 2.0 Scheme"?
Option 1: To provide vocational training to youth
Option 2: To enhance the contribution of farming
Option 3: To increase private sector investment in tourism and hospitality
Option 4: To promote local art and culture handicrafts and cuisines etc.
Correct Answer: To increase private sector investment in tourism and hospitality
Solution : The correct option is To increase private sector investment in tourism and hospitality.
One of the objectives of the "Swadesh Darshan 2.0 Scheme" is to increase private sector investment in tourism and hospitality. The scheme aims
Question : A man deposited INR 10,000 at simple interest in a fund. The interest rate on the fund increases by 4% every year. If the interest rate at the time of the amount deposit was 8%, what is the interest earned (in INR) by him after 5 years?
Option 1: 6,000
Option 2: 8,400
Option 3: 5,800
Option 4: 8,000
Correct Answer: 8,000
Solution : Money deposited, $P$ = INR 10,000 Initial rate of interest = 8% The rate of interest increases by 4% every year. Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ For 5 years, simple interest = $\frac{P(r_1+r_2+r_3+r_4+r_5)}{100}$ (where $r_1,r_2,r_3,r_4,$ and $r_5$ are rate of interests for
Question : Our atmosphere is divided into layers.
Option 1: Two
Option 2: Three
Option 3: Four
Option 4: Five
Correct Answer: Five
Solution : The correct answer is Five.
Earth's atmosphere is divided into various layers depending upon temperature changes. It is divided into five layers, which are the troposphere, the stratosphere, the mesosphere, and the thermosphere. The layer which is nearest to the Earth's crust is the
Question : Directions: If the 20th day of the month falls on the 4th day before Monday, then what will be the day of the week on the 1st of that month?
Option 1: Saturday
Option 2: Tuesday
Option 3: Wednesday
Option 4: Friday
Correct Answer: Saturday
Solution : The 20th day of the month falls on the 4th day before Monday. So, the 20th day of the month is Thursday.
Now, remaining days = 19; On dividing 19 by 7, we get 5 as the remainder. Now, subtract 5 days
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
My sister-in-laws (1) / who live in Kolkata (2) / have come to stay with us. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct answer is the first option.
"Sister-in-laws" should be replaced with "sisters-in-law". Sisters-in-law is the correct plural form when referring to sisters of the spouse. Sister-in-law is a compound noun and we pluralise the compound nouns by adding 's' or 'es' to the principal
Question : If $(y-\frac{1}{y})=-9$, what will be the value of $(y^5-\frac{1}{y^5})?$
Option 1: – 62757
Option 2: – 62748
Option 3: – 62739
Option 4: – 59049
Correct Answer: – 62739
Solution : $(y-\frac{1}{y})=-9$ Squaring on both sides, ⇒ $(y-\frac{1}{y})^2=(-9)^2$ ⇒ $y^2+\frac{1}{y^2}-2×y×\frac{1}{y}=(-9)^2$ ⇒ $y^2+\frac{1}{y^2}= 81+2= 83$ Squaring on both sides, $(y^2+\frac{1}{y^2})^2$ = $83^2$ ⇒ $y^4+\frac{1}{y^4}+2 = 6889$ ⇒ $y^4+\frac{1}{y^4} = 6887$ ⇒ $(y-\frac{1}{y})(y^4+\frac{1}{y^4})$ = $(y^5-\frac{1}{y^5}-y^3+\frac{1}{y^3})$ ⇒ $-9×6887 = (y^5-\frac{1}{y^5}-(y^3-\frac{1}{y^3}))$ ⇒ $-9×6887 = [y^5-\frac{1}{y^5}-(y-\frac{1}{y})(y^2+\frac{1}{y^2}+y×\frac{1}{y})]$ ⇒ $-61983 = [y^5-\frac{1}{y^5}-(-9)(83+1)]$
Question : Select the most appropriate meaning of the given idiom. On the straight and narrow
Option 1: The unrefined and complicated
Option 2: The straightforward and ethically acceptable
Option 3: The honest but dubious
Option 4: The unpredictable though genuine
Correct Answer: The straightforward and ethically acceptable
Solution : The correct meaning of the idiom "on the straight and narrow" is the second option.
The straightforward and ethically acceptable: This is the correct meaning of the idiom. It indicates that someone is living an honest and morally upright life, following
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