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Q:

What is the India’s rank in the 2017 global Multi-dimensional Poverty Index (MPI) ?

A) 38th	B) 37th
C) 36th	D) 35th

Answer & Explanation Answer: B) 37th

Explanation:

India has been ranked 37th out of 103 nations in the 2017 global Multi-dimensional Poverty Index (MPI), according to a new report by the Oxford Poverty & Human Development Initiative. The OPHI is an economic research centre at the Oxford University, led by Professor Sabina Alkire. The 2017 global MPI has covered 76% of the world’s population, living in 103 countries. The index measures the nature and intensity of poverty, based on the profile of overlapping deprivations each poor person experiences. It aggregates these into meaningful indexes that can be used to inform targeting and resource allocation and to design policies that tackle the interlinked dimensions of poverty together.

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Filed Under: General Awareness
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Q:

Find the quadratic equations whose roots are the reciprocals of the roots of $2 x^{2} + 5 x + 3$ ?

A) $3 x^{2} + 5 x + 2 = 0$

B) $5 x^{2} + 3 x + 2 = 0$

C) $3 x^{2} - 5 x - 2 = 0$

D) None

A) A	B) B
C) C	D) D

Answer & Explanation Answer: A) A

Explanation:

The quadratic equation whose roots are reciprocal of $2 x^{2} + 5 x + 3 = 0$ can be obtained by replacing x by 1/x.

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

=> $3 x^{2} + 5 x + 2 = 0$

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Filed Under: Mathematical Operations
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Q:

The construction of world’s largest optical telescope has started in which country ?

A) China	B) Russia
C) Chile	D) India

Answer & Explanation Answer: C) Chile

Explanation:

The construction of the world’s largest optical telescope has started in northern Chile, which is expected to begin operating in 2024. The Extremely Large Telescope (ELT) is being built by the European Southern Observatory (ESO) and will have a main mirror that is 39m in diameter. The telescope will be positioned on top of Cerro Armazones – a 3046-metre long mountain Chile. It will tackle a wide range of scientific challenges, including probing Earth-like exoplanets for signs of life, studying the nature of dark energy and dark matter, and observing the universe’s early stages to explore humans’ origins.

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Filed Under: Longest, Shortest, Deepest
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Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ?

A) x > y < z	B) x < y < z
C) x > y > z	D) z < x < y

Answer & Explanation Answer: D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

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Filed Under: Arithmetical Reasoning
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Q:

45% of 750 - 25% of 480 = ?

A) 337.50	B) 217.50
C) 376.21	D) 120

Answer & Explanation Answer: B) 217.50

Explanation:

Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50

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Filed Under: Percentage
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Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

A) 18 : 24 : 11	B) 9 : 15 : 1
C) 20 : 15 : 9	D) 21 : 7 : 3

Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

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Filed Under: Ratios and Proportions
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Q:

I. $a^{2} - 7 a + 12 = 0$ ,

II. $b^{2} - 3 b + 2 = 0$

Solve both the equations to find the values of a and b ?

A) if a > b	B) if a < b
C) if the relationship between a and b cannot be established.	D) if a ≤ b

Answer & Explanation Answer: A) if a > b

Explanation:

I. (a - 3)(a - 4) = 0

=> a = 3, 4

II. (b - 2)(b - 1) = 0

=> b = 1, 2

=> a > b

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Filed Under: Statement and Conclusions
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Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
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