Staff Selection Commission Combined Graduate Level Exam
Question : In which of the following states of India is the “MANAS” biosphere reserve located?
Option 1: Tripura
Option 2: Manipur
Option 3: Meghalaya
Option 4: Assam
Correct Answer: Assam
Solution : The correct answer is Assam.
Manas Biosphere Reserve is located in the state of Assam in northeastern India. It also shares a border with the Royal Manas National Park in Bhutan. Manas Biosphere Reserve is a UNESCO World Heritage Site. It is home to a
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 36 * 12 * 6 * 12 * 3 = 63
Option 1: ×, ÷, –, +
Option 2: ÷, –, +, ×
Option 3: +, +, –, ×
Option 4: +, ÷, ×, –
Correct Answer: ×, ÷, –, +
Solution : Given: 36 * 12 * 6 * 12 * 3 = 63
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: ×, ÷, –, + ⇒ 36 ×
Question : Select the most appropriate meaning of the given idiom.
Hit the jackpot.
Option 1: Found a piece of gold
Option 2: Harm the opportunity
Option 3: Receiving a reward
Option 4: Gaining a big success
Correct Answer: Gaining a big success
Solution : The fourth option is the correct choice.
A jackpot is a large cash prize in a game or lottery. To hit the jackpot means to have great or unexpected success, especially in making a lot of money quickly.
The other options do
Question : In what least number of complete years does a sum of money become more than four times itself at the rate of 50% per annum on simple interest?
Option 1: 9 years
Option 2: 7 years
Option 3: 6 years
Option 4: 5 years
Correct Answer: 7 years
Solution : Let's suppose, in $Q$ years a sum of money, say $P$ becomes four times itself at the rate of 50% per annum on simple interest. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ According to the question, $P+\frac{P(50)(Q)}{100}=4P$ ⇒ $\frac{PQ}{2}=4P - P$
Question : The table given below shows the expenditure of two companies in different years.
$J_1$ = The total expenditure of Company L in all 5 years. $J_2$ = The total expenditure of company M in all 5 years. What is the value of ($J_1:J_2$)?
Option 1: 27 : 23
Option 2: 21 : 29
Option 3: 23 : 27
Option 4: 29 : 23
Correct Answer: 23 : 27
Solution : $J_1$ = The total expenditure of Company L in all 5 years = 200 + 150 + 300 + 100 + 400 = 1150 $J_2$ = The total expenditure of company M in all 5 years = 500 + 350 + 250 +
Question : An example of protein which acts as a hormone is :
Option 1: Trypsin
Option 2: Oxytocin
Option 3: Keratin
Option 4: Casein
Correct Answer: Oxytocin
Solution : The correct answer is oxytocin.
Hormones are the chemical which are released in blood in small quantities and carry messages to the target organs. They control various vital body functions. Various hormones are protein based like oxytocin, insulin, somatotropin, glucagon, insulin, parathyroid hormone etc. Insulin
Question : If $x + y = 1$, then what is the value of $x^3+ 3xy + y^3$?
Option 1: –1
Option 2: 1
Option 3: 0
Option 4: 2
Correct Answer: 1
Solution : Given: $x + y = 1$------------------ (equation 1) We know the algebraic identity, $(x+y)^3=x^3 + y^3+3xy(x+y)$. Substitute the value from equation (1) in the above formula, $(1)^3=x^3 + y^3+3xy\times(1)$ ⇒ $x^3 + y^3+3xy=1$ Hence, the correct answer is 1.
Question : Given is a line graph showing the number of accidents in a city during the first 6 months of 1999. The decrease percentage of accidents from May to June is:
Option 1: $15\frac{3}{8}$%
Option 2: $15\frac{1}{8}$%
Option 3: $15\frac{5}{8}$%
Option 4: $15\frac{7}{8}$%
Correct Answer: $15\frac{5}{8}$%
Solution : Number of accidents in May = 32 Number of accidents in June = 27 Required percentage decrease = $\frac{32-27}{32}×100$ = $\frac{5×100}{32}$ = $\frac{125}{8}$ = $15\frac{5}{8}$% Hence, the correct answer is $15\frac{5}{8}$%.
Question : The graphs of the linear equations $3x-2y=8$ and $4x+3y=5$ intersect at the point ${P}( \alpha, \beta)$. What is the value of $(2 \alpha-\beta)$?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 5
Correct Answer: 5
Solution : $3x-2y=8$ ------------(1) $4x+3y=5$ ---------------------(2) Solve this system of equations. Rearranging the first equation, $⇒y = \frac{3}{2}x - 4$ Substituting this into the second equation, $⇒4x + 3(\frac{3}{2}x - 4) = 5$ $⇒4x +\frac{9}{2}x - 12 = 5$ $⇒17x-24=10$ $⇒17x=34$ $⇒x = 2$ Substituting $x =
Question : The average weight of the first 11 people among 12 people is 95 kg. The weight of the 12th person is 33 kg more than the average weight of all 12 people. The weight of the 12th person is:
Option 1: 128.75 kg
Option 2: 128 kg
Option 3: 131 kg
Option 4: 97.45 kg
Correct Answer: 131 kg
Solution : Let the average weight of the 12 people be $x$. Then, the weight of the 12th person is $(x+33)$. Total weight of all 12 people = $(11×95) + x +33$ Average weight of all 12 people = $\frac{(11×95)+x+33}{12}$ It is given that: ⇒ $x
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