Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if they are seen to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements: 1. All dawns are day. 2. No day is night. Conclusions: I. No night is day. II. Some dawns are night.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both I and II follow
Option 4: Neither I nor II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No night is day – From the diagram, we can see that circles representing night and day have a negative relation between
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. ABCD, FVJV, KPQN, PJXF, ?
Option 1: UDQE
Option 2: RQTS
Option 3: UDEX
Option 4: EQRT
Correct Answer: UDEX
Solution : Given: ABCD, FVJV, KPQN, PJXF, ?
Add 5 and 7 in the place value of the first and the third letters and subtract 6 and 8 from the place value of the second and fourth letters of the previous term to obtain the next term.
Question : The lengths of the three medians of a triangle are $9\;\mathrm{cm}$, $12\;\mathrm{cm}$, and $15\;\mathrm{cm}$. The area (in $\mathrm{cm^2}$) of the triangle is:
Option 1: $24$
Option 2: $72$
Option 3: $48$
Option 4: $144$
Correct Answer: $72$
Solution : The area of a triangle in terms of its medians, Area $=\frac{4}{3} \sqrt{s(s - m_1)(s - m_2)(s - m_3)}$ where $m_1$, $m_2$ and $m_3$ are the lengths of the medians, and $s$ is the semi-perimeter of the medians, which is $s = \frac{m_1 + m_2
Question : Select the most appropriate meaning of the given idiom.
Get into a scrape
Option 1: Creating a problem
Option 2: Solving a problem
Option 3: Explaining a problem
Option 4: Involved in a problem
Correct Answer: Involved in a problem
Solution : The correct answer is the fourth option.
Get into a scrape: This expression means to become involved in a difficult or unpleasant situation, typically one that is a minor problem or conflict.
The phrase implies encountering a problematic or challenging situation rather
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
The duo's network was made to learn identify true signals using previously vetted signals; they then studied the weaker signals.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
This alternative uses the correct infinitive form (to learn to identify). When we express purpose, the infinitive form of the verb is often used after made to or designed to followed by the base form of
Question : Find the "odd one out".
Option 1: Linux
Option 2: Windows 98
Option 3: C++
Option 4: Windows 7
Correct Answer: C++
Solution : The correct answer is C++.
Operating systems include Linux, Windows 98 and Windows 7. The computer programming language is C++. Operating systems are pieces of software that manage computer hardware and software resources while also providing common services to computer programs. Programming languages are used
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? AZBY, BYCX, CXDW, ?, EVFU
Option 1: DWEV
Option 2: DVEW
Option 3: DWFV
Option 4: DVEU
Correct Answer: DWEV
Solution : Given: AZBY, BYCX, CXDW, ?, EVFU
Add 1 to the place value of the first and the third letters and subtract 1 from the place value of the second and fourth letters of the previous term to obtain the next term. AZBY→A + 1 =
Question : Who were made the permanent members of the U. N. Security Council?
Option 1: One representative from each continent
Option 2: Five major powers of the Allied Forces in the Second World War
Option 3: Five members elected by the U.N. General Assembly at the intial Consititution
Option 4: funding members of the U.N.
Correct Answer: Five major powers of the Allied Forces in the Second World War
Solution : The correct option is - Five major powers of the Allied Forces in the Second World War
The five sovereign states who were given a permanent seat on the UN Security Council by the
Question : Select the most appropriate option for the given group of words.
Substance used for killing troublesome small animals like insects, mice etc.
Option 1: Homicide
Option 2: Infanticide
Option 3: Fungicide
Option 4: Pesticide
Correct Answer: Pesticide
Solution : The fourth option is the correct choice.
In this context, the substance used for killing troublesome small animals like insects and mice is referred to as a pesticide. It is specifically designed to control or eliminate pests that can damage crops or cause other issues.
Question : If $x^2-8 x-1=0$, what is the value of $x^2+\frac{1}{x^2}?$
Option 1: 68
Option 2: 62
Option 3: 64
Option 4: 66
Correct Answer: 66
Solution : $x^2-8 x-1=0$ ⇒ $x^2 -1 = 8x$ Dividing both sides by $x$ $x-\frac{1}{x} = 8$ Squaring both sides, $(x-\frac{1}{x})^2 = 8^2$ ⇒ $x^2 + \frac{1}{x^2} - 2×x×\frac{1}{x} = 64$ $\therefore$ $x^2 + \frac{1}{x^2} = 64+2=66$ Hence, the correct answer is 66.
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