Staff Selection Commission Combined Graduate Level Exam
Question : If $a(x+y)=b(x-y)=2ab$, then the value of $2(x^2+y^2)$ is:
Option 1: $2(a^2-b^2)$
Option 2: $2(a^2+b^2)$
Option 3: $4(a^2-b^2)$
Option 4: $4(a^2+b^2)$
Correct Answer: $4(a^2+b^2)$
Solution : Given: $a(x+y) = b(x-y)=2ab$ $a(x+y) = 2ab$ ⇒ $b = \frac{x+y}{2}$ ⇒ $2b = x+y$ ---(1) From $b(x-y) = 2ab$, same way we get ⇒ $2a = x-y$ ---(2) Solving equations (1) and (2), we get $x = a+b, y = b-a$ So, $2(x^2+y^2)$ =
Question : Select the most appropriate meaning of the given idiom.
To kick the bucket
Option 1: To be ill
Option 2: Be sad
Option 3: Be happy
Option 4: To die
Correct Answer: To die
Solution : The correct choice is the fourth option.
To kick the bucket is an idiom that means to die or to stop living.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side of the figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. According to the information provided, if the mirror is placed on the right side of the figure, the right of the reflected image will appear as the left, and the left will
Question : The following pie chart shows the annual expenditure on different items. What is the minimum angle in the given pie chart?
Option 1: 36°
Option 2: 45°
Option 3: 32°
Option 4: 30°
Correct Answer: 36°
Solution : Sum of angles = 360° The smallest angle will be with the minimum expenditure which is 10% in this case. $\therefore$ Smallest angle = $\frac{360°}{10}$ = 36° Hence, the correct answer is 36°.
Question : Hot, dry winds blowing in the Northern plain in India are known as _______.
Option 1: North Easterly winds
Option 2: Westerlies
Option 3: Loo
Option 4: Norwesters
Correct Answer: Loo
Solution : The correct option is Loo.
Loo is a term used in India to describe strong, hot, and dry winds that typically occur during the summer season, primarily in the northern and northwestern regions of the country. Loo winds can significantly raise the temperature in the
Question : In a triangle, ABC, P, and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 4.5 cm. If the area of $\triangle \mathrm{APQ}$ is 12 cm2, then find the area of BPQC.
Option 1: 192 cm2
Option 2: 182 cm2
Option 3: 190 cm2
Option 4: 180 cm2
Correct Answer: 180 cm2
Solution : Given: AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 4.5 cm AB = AP + PB = 1 + 3 = 4 AC = AQ + CQ = 1.5 + 4.5 = 6 cm In $\triangle
Question : Which one of the following is a good electrical conductor?
Option 1: Graphite
Option 2: Diamond
Option 3: peat
Option 4: charcoal
Correct Answer: Graphite
Solution : The correct option is Graphite.
A good electrical conductor is graphite. Since the carbon atoms are organized in layers, it is possible for electrons to travel freely across the levels. Due to this characteristic, graphite is an ideal material for use in electrodes, electrical connections,
Question : Who wrote "Sarfaroshi Ki Tammana Ab Hamare Dil Mein Hai "?
Option 1: Mohammad Iqbal.
Option 2: Ramparasad Bismil.
Option 3: Kazi Nazrul Islam.
Option 4: Firaq Gorakhapuri.
Correct Answer: Ramparasad Bismil.
Solution : Correct Answer is Ramparasad Bismil.
Sarfaroshi ki Tamanna is a patriotic Urdu poem written in 1921 in Patna by Bismill Azimabadi. The poem is dedicated to the young freedom fighters of India's independence movement. The immortal lines of the poem became India's war cry
Question : Directions: In the following question, select the related number from the given alternatives. 5 : 130 :: 6 : ?
Option 1: 210
Option 2: 212
Option 3: 222
Option 4: 226
Correct Answer: 222
Solution : Given: 5 : 130 :: 6 : ?
Like, 5 : 130→5 + 53 = 5 + 125 = 130 Similarly, 6 : ?→6 + 63 = 6 + 216 = 222
222 is related to 6. Hence, the third option is correct.
Question : Directions: Study the following bar graph carefully and answer the questions. In 1990, how many more students were enrolled at State University than at Central University?
Option 1: 1505 students
Option 2: 1650 students
Option 3: 2000 students
Option 4: 1980 students
Correct Answer: 2000 students
Solution : As per the given graph: The students enrolled at State University in the year 1990 = 14 thousand The students enrolled at Central University in the year 1990 = 12 thousand The difference = 14 – 12 = 2 thousand Hence, the correct answer
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