Staff Selection Commission Combined Graduate Level Exam
Question : What value of $y$ will satisfy the following equation? $\frac{3 y}{1+\frac{1}{1+\frac{y}{1–y}}} = 2$
Option 1: $\frac{2}{3}$
Option 2: $\frac{5}{4}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{3}{2}$
Correct Answer: $\frac{4}{5}$
Solution : Given: $\frac{3 y}{1+\frac{1}{1+\frac{y}{1–y}}} = 2$ ⇒ $\frac{3 y}{1+\frac{1–y}{1}} = 2$ ⇒ $\frac{3 y}{2–y} = 2$ ⇒ $3y = 4–2y$ ⇒ $5y = 4$ ⇒ $y = \frac{4}{5}$ Hence, the correct answer is $\frac{4}{5}$.
Question : Directions: Select the odd group of numbers. (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.)
Option 1: 14 – 193
Option 2: 15 – 220
Option 3: 16 – 251
Option 4: 17 – 284
Correct Answer: 14 – 193
Solution : Let's check the options – First option: 14 – 193; 142 – 5 = 191 ≠ 193 Second option:15 – 220; 152 – 5 = 220 Third option: 16 – 251; 162 – 5 = 251 Fourth option:17
Question : The mass number of potassium is:
Option 1: 39
Option 2: 40
Option 3: 38
Option 4: 37
Correct Answer: 39
Solution : The correct option is 39.
Since potassium (symbol K) has several isotopes, the mass number of potassium can change. Atoms of the same element that differ in their neutron counts but have the same number of protons, which characterises the elements, are called isotopes.
Question : $\triangle$ XYZ is a right-angled triangle and $\angle$Y = 90° If XY = 2.5 cm and YZ = 6 cm, then the circumradius of $\triangle$XYZ is:
Option 1: 6.5 cm
Option 2: 3.25 cm
Option 3: 3 cm
Option 4: 2.5 cm
Correct Answer: 3.25 cm
Solution : Given: XYZ is a right-angled triangle and $\angle$Y = 90°, where XY = 2.5 cm and YZ = 6 cm. Let the hypotenuse of the triangle be $h$ cm. So, $h^2=6^2+(2.5)^2$ ⇒ $h=\sqrt{42.25}$ ⇒ $h=6.5$ cm We know, The circumradius of a right-angled triangle
Question : Which among the following is a folk dance of India ?
Option 1: Mohiniattam .
Option 2: Kathakali .
Option 3: Manipuri.
Option 4: Garba .
Correct Answer: Garba .
Solution : The correct option is - Garba
The Indian folk dance known as garba is frequently performed during festivals and other special events in the state of Gujarat. A common feature of garba performances is singing, which is typically accompanied by the dhol and the
Question : Any six-digit number that is formed by repeating a three-digit number, is always divisible by:
Option 1: 111
Option 2: 1001
Option 3: 19
Option 4: 101
Correct Answer: 1001
Solution : Let the six-digit number be of the form be 'abcabc'. The number can be expressed as: = 100000a + 10000b + 1000c + 100a + 10b + c = 100100a + 10010b + 1001c = 1001(100a + 10b + c) So, 1001 is a factor
Question :
Directions: In the following question, select the related word from the given alternatives. Medicine : Patient :: Education : ?
Option 1: Teacher
Option 2: School
Option 3: Student
Option 4: Tuition
Correct Answer: Student
Solution : Given: Medicine : Patient :: Education : ?
Like, the patient is the recipient of medicine. Similarly, the student is the recipient of education.
Hence, the third option is correct.
Question : The monthly income of a family is Rs. 35,000. The family spends the income on various expenses, viz., food, health, education, entertainment, and rent. After incurring all the expenses, they save 8% every month. The expenditure on health is 50% more than that of food. While food is three times the expenditure on entertainment, the expenditure on health is half of the expenditure on education. The expenditure on rent is one-third of the combined expenditure on food, health, and education. How much expenditure (in Rs.) is incurred on education?
Option 1: Rs. 12,600
Option 2: Rs. 8,400
Option 3: Rs. 13,200
Option 4: Rs. 7,700
Correct Answer: Rs. 12,600
Solution : A family income is Rs 35,000 in a month. 8% is saved every month. So, monthly expenditure $=\frac{35000×92}{100}=32200$ Let's assume they spend 100 on food. So, their health expenditure = (100 + 50) = 150 Their entertainment expenditure = $\frac{100}{3}$ Their education expenditure =
Question : Flywheel is an important part of a steam engine because it?
Option 1: accelerates the speed of the engine
Option 2: helps the engine in keeping the speed uniform
Option 3: decreases the moment of inertia
Option 4: gives strength to the engine
Correct Answer: helps the engine in keeping the speed uniform
Solution : Correct answer is helps the engine in keeping the speed uniform
A flywheel's primary role in a steam engine (or any engine) is to assist maintain a consistent or steady speed. The flywheel accumulates rotating kinetic energy during
Question : The Harappans brought Gold from present-day _______ in India.
Option 1: Telangana
Option 2: Tamil Nadu
Option 3: Karnataka
Option 4: Kerala
Correct Answer: Karnataka
Solution : The correct option is Karnataka.
The raw resources came from many sources for the Harappans. Gold was transported from present-day Karnataka. They most likely obtained copper from Oman and from what is now Rajasthan. Tin was imported from Iran and Afghanistan.
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