Questions 1 to 10 Solutions

Q1.The untimely loss of life is a cause of serious global concern as thousands of people get killed ___accidents every year while many other die ___diseases like cardio vascular disease, cancer, etc.

(A)in, of

(B)from, of

(C)during, from

(D)from, from

ANS:-(A)in, of

Solution: The option (a) is suitable in the given blanks. Here the in, of are used as preposition.

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Q2.He was not only accused of theft——–  of conspiracy.

(A)  rather

(B) but also

(C) but even

(D) rather than

ANS:-(B) but also

Solution: The option (b) is correct because generally with not only phrase but also comes. They both are corelative conjunction.

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Q3.Select the word that fits the analogy:

Explicit: Implicit :: Express:

(A)Impress

(B)Repress

(C)Compress

(D)Suppress

ANS:-(B)Repress

Solution: As antonym of implicit is explicit and antonym of Express is Repress. So, option (b) is the correct answer.

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Q.No. 4 The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting 15 seconds, as opposed to informal 5 second messages in French.

The French-speaking couple were upset at __.

(A)the in-flight announcements being made in English

(B)the English announcements being clearer than the French ones.

(C)the English announcements being longer than the French ones.

(D)equal importance being given to English and French.

ANS:-(C)the English announcements being longer than the French ones.

Solution: OPtion (c) is the correct answer. From the given paragraph we can say that option (c) correctly matches the scenario.

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Q5. A superadditive function f(x) satisfies the following property

f(x1 + x2) ≥ f(x1) + f(x2)

Which of the following functions is a superadditive function for x > 1?

(A)e^x

(B)√x

(C)1/x

(D)e^-x

ANS:-(A)e^x

Solution:- By checking option one by one

Let us consider option (a) ,

e^x1+x2 > e^x1+e^x2

e¹⁺² > e¹+e²

20.085 > 2.718 + 7.389

This equation satisfies the property.

So, option (a) is the correct answer.

While checking other options,

Consider option (b)

Here, \frac{1}{x_{1}+x_{2}}>\frac{1}{x_{1}}+\frac{1}{x_{2}}

\frac{1}{2+3}>\frac{1}{2}+\frac{1}{3} \frac{1}{5}>\frac{1}{2}+\frac{1}{3}

0.2 > 0.8

So, This is wrong.

Therefore, option (a) is the correct answer.

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Q6.The global financial crisis in 2008 is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in USA in 2007. The subprime lending crisis led to the banking crisis in 2008 with the collapse of Lehman Brothers in 2008. The sub-prime lending refers to the provision of loans to those borrowers who may have difficulties in repaying loans, and it arises because of excess liquidity following the East Asian crisis.

Which one of the following sequences shows the correct precedence as per the given passge?

A)East Asian crisis subprime lending crisis banking crisis global financial crisis.

(B)Subprime lending crisis global financial crisis banking crisis East Asian crisis.

(C)Banking crisis subprime lending crisis global financial crisis → East Asian crisis.

(D)Global financial crisis → East Asian crisis banking crisis → subprime lending crisis.

ANS:-(A)East Asian crisis subprime lending crisis banking crisis global financial crisis.

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Q.7 It is quarter past three in your watch. The angle between the hour hand and the minute hand is

(A)0

(B)7.5°

(C)15°

(D)22.5°

ANS:-(B)7.5°

Solution: Option (B) is the correct answer. As the given time is 03 :15

So, angle between hands \theta =30h-\frac{11m}{2}

Here, h=3 and m=15

\theta =30\times3-\frac{11\times15}{2} = 7.5^o

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Q8. A circle with centre O is shown in the figure. A rectangle PQRS of maximum possible area. is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion

(A) πa²-a²

(B)πa² -√2a

(C)πa²-2a²

(D)πa²-3a²

ANS:-(C)πa²-2a²

Solution: WE can see that the given diagram, is the combination of circle and rectangle. The Area of shaded portion = Area of Circle – Area of rectangle.

In general, the are of rectangle is maximum when it becomes a square.

Diagonal = 2a

Area of square = \frac{1}{2} x (diagonal)² = 2a²

So, Area of shaded portion = Area of Circle – Area of square

Area of shaded portion = πa²-2a²

So, option (c) is correct.

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Q9. a, b, c are real numbers. The quadratic equation ax² – bx +c = 0 has equal roots, which is ß, then

(A)β = b/a

(B)β² = ac

(C)β³ = bc/(2a²)

(D)β² ≠ 4ac

ANS-(C)β³ = bc/(2a²)

Solution: Given that the a,b,c are real numbers . ax²+bx+c is the given quadratic equation and it has equal roots .

The value of root is β.

We know that sum of roots = β + β = \frac{b}{a} = 2β = \frac{b}{a}–(i)

The product of roots = β* β = \frac{c}{a} = \frac{c}{a} —(ii)

From eq. (i) and (ii)

(2β) (β)²= \frac{b}{a} \frac{c}{a}

2β³= \frac{bc}{a^2}

β³ = bc/2a

So, option (c) is the correct answer.

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Q10.The following figure shows the data of students enrolled in 5 years (2014 to 2018) for two schools P and Q. During this period, the ratio of the average number of the students enrolled in school P to the average of the difference of the number of students enrolled in schools P and O is

 (A) 8:23

(B)23:8

(C)23:31

(D)31:23

ANS:-(B)23:8

Solution: Given graph shows the data of students enrolled in 5 years for two schools P and Q.

Let us firstly calculate the average number of students enrolled in school P in 5 years

= \frac{3000+5000+5000+6000+4000}{5}= 4600

Similarly we will calculate of school Q.

Average number of students enrolled in school Q in 5 years = = \frac{4000+7000+8000+7000+5000}{5}= 6200

Now, the average difference of the number of students in school P and Q is = Average of students enrolled in school Q – Average no. of students enrolled in school P

Q= 6200-4600 = 1600

Therefore the desired ratio is \frac{4600}{1600}=\frac{23}{8}

So, the 23:8 is the desired ratio.

Therefore, option (b) is the correct answer.