Staff Selection Commission Combined Graduate Level Exam
Question : Nine students in a class contribute a certain sum of money. Seven of them gave Rs. 50 each, and the other two gave, respectively, Rs. 50 and Rs. 90 more than the average contribution. The average contribution of the class of nine students is:
Option 1: Rs. 70
Option 2: Rs. 50
Option 3: Rs. 100
Option 4: Rs. 120
Correct Answer: Rs. 70
Solution : Let the average contribution of the class of nine students be $x$. $x=\frac{7×50+x+50+x+90}{9}$ ⇒ $9x=2x+490$ ⇒ $7x=490$ $\therefore x=70$ Hence, the correct answer is 70.
Question :
What does the letter ‘e’ denotes in the term ‘e- banking’?
Option 1:
Essential Banking
Option 2:
Economic Banking
Option 3: Electronic Banking
Option 4: Expansion Banking
Correct Answer: Electronic Banking
Solution : The correct option is Electronic Banking
The term "e-banking" tends to refer to the use of computers to conduct financial transactions like cash withdrawals from cash registers or money transfers at points of sale. Alternatively, it is referred to as online or internet banking.
Question : If ABC is an equilateral triangle and D is a point in BC such that AD is perpendicular to BC, then:
Option 1: AB : BD = 1 : 1
Option 2: AB : BD = 1 : 2
Option 3: AB : BD = 2 : 1
Option 4: AB : BD = 3 : 2
Correct Answer: AB : BD = 2 : 1
Solution : In $\triangle$ABC, AD$\perp$BC As $\triangle$ABC is an equilateral triangle, AD is an altitude as well as median on BC, i.e., AD is a perpendicular bisector of BC. ⇒ BD = DC = $\frac{1}{2}$BC Since AB = BC = CA,
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Money does not come from trees, as my grandmother used to say; But seeing it (1)________ from machines would shock her! Slip a card into a machine, press a couple of buttons and find new and fresh notes carrying out of a space this is a standard undertaking today. Today, ATMs, or automated teller machines, can be found in most towns and cities. You are able to withdraw cash at any time, day or night, because they typically (2)__________ around the clock. In 1968, Don Wetzel, along with Tom Barnes and George Chastain, developed the first modern and successful ATM in the United States. Although the ATM concept was first (3)___________ in 1968, a functional prototype was constructed in 1969, and Docutel was granted a patent in 1973. A 'data terminal' is all an ATM is. A point where data can be entered or retrieved via a link to the 'Boss-in-Charge', a large computer known as a host processor, is referred to as a 'data terminal'. Many of these terminals are connected to this host processor, which is spread out (4)__________ the city or country. Usually, the host processor belongs to the bank. If it is a dial-up device, it connects to the various terminals via a modem and telephone line. Alternately, the host processor may establish a 'leased line connection' with all ATMs. This indicates that a modem is not required to dial into a single telephone line that is solely dedicated to the host processor. This line can only be used by you. It is always accessible to the boss-in-charge for his or her exclusive use. These exclusive lines are expensive, but they are useful in areas where daily transactions are extremely high. The host processor connects to the ATMs via either a dial-up or leased line connection, (5)________ on the bank and the number of customers it serves. Select the most appropriate option to fill in blank no. 1.
Option 1: grow
Option 2: discover
Option 3: emerge
Option 4: create
Correct Answer: emerge
Solution : The third option is the correct choice.
Emerge means to become prominent and visible, and it fits correctly in the context of the sentence, as seeing money come out of the machines, that is, become visible. This is the most appropriate choice from the given
Question : Select the most appropriate one-word substitution of the given group of words. Capable of or adapted for turning easily from one to another of various tasks, fields of endeavour, etc. and is able to do many things.
Option 1: Versatile
Option 2: Turncoat
Option 3: Talented
Option 4: Flexible
Correct Answer: Versatile
Solution : The correct answer is the first option.
Versatile means being able to adapt to many different functions or activities. This option is thus the appropriate alternative.
The meanings of the other options are as follows:
Question : Diagonals of a trapezium $ABCD$ with $AB \parallel CD$ intersect each other at the point $O$. If $AB = 2CD$, then the ratio of the areas of $\triangle AOB$ and $\triangle COD$ is:
Option 1: $4:1$
Option 2: $1:16$
Option 3: $1:4$
Option 4: $16:1$
Correct Answer: $4:1$
Solution :
Given: $ABCD$ is a given trapezium in which $AB \parallel CD$ and $AB = 2CD$. In $\triangle AOB$ and $\triangle COD$ $\angle AOB=\angle COD$ (Vertically opposite triangle) $\angle 1=\angle 2$ (Alternate interior angle) $\angle AOB \sim \angle COD$ ( by AA similarity) The ratio of
Question : Directions: The second number in the given number pairs is obtained by performing a 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.
Option 1: (64, 48)
Option 2: (72, 27)
Option 3: (96, 72)
Option 4: (108, 81)
Correct Answer: (72, 27)
Solution : Let's check the options – First option: (64, 48); 16 × 4 = 64 and 16 × 3 = 48 Second option: (72, 27); 18 × 4 = 72 and 18 × 3 = 54 ≠ 27 Third option: (96, 72); 24 × 4
Question : A cylindrical roller made of iron is 1.2 m long, Its internal radius is 24 cm, and the thickness of the iron sheet used in making the roller is 15 cm. What is the mass (in kg) of the roller, if $1 ~cm^3$ of iron has 8g mass?
Option 1: 846.72 $\pi$
Option 2: 845.75 $\pi$
Option 3: 892.8 $\pi$
Option 4: 907.2 $\pi$
Correct Answer: 907.2 $\pi$
Solution : Length of the roller $(h)$ = 1.2 m = 120 cm The internal radius of the cylinder $(r) $= 24 cm The thickness of the cylinder is 15 cm External radius of the cylinder $(R)$ = (24 + 15) = 39 cm The volume
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
He went there ___________.
Option 1: on foot
Option 2: walking on foot
Option 3: by foot
Option 4: with foot
Correct Answer: on foot
Solution : "On foot" means that he traveled by walking, which completes the sentence with the appropriate mode of transportation.
Hence the correct option is "on foot"
Question : Directions: Select the option figure in which the given figure is embedded as its part (rotation is NOT allowed).
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
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