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GPSC (Goa) Exam  >  GPSC (Goa) Tests  >  Goa PCS Pre-Screening Mock Test- 6 - GPSC (Goa) MCQ

Goa PCS Pre-Screening Mock Test- 6 - GPSC (Goa) MCQ


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30 Questions MCQ Test - Goa PCS Pre-Screening Mock Test- 6

Goa PCS Pre-Screening Mock Test- 6 for GPSC (Goa) 2024 is part of GPSC (Goa) preparation. The Goa PCS Pre-Screening Mock Test- 6 questions and answers have been prepared according to the GPSC (Goa) exam syllabus.The Goa PCS Pre-Screening Mock Test- 6 MCQs are made for GPSC (Goa) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Goa PCS Pre-Screening Mock Test- 6 below.
Solutions of Goa PCS Pre-Screening Mock Test- 6 questions in English are available as part of our course for GPSC (Goa) & Goa PCS Pre-Screening Mock Test- 6 solutions in Hindi for GPSC (Goa) course. Download more important topics, notes, lectures and mock test series for GPSC (Goa) Exam by signing up for free. Attempt Goa PCS Pre-Screening Mock Test- 6 | 60 questions in 75 minutes | Mock test for GPSC (Goa) preparation | Free important questions MCQ to study for GPSC (Goa) Exam | Download free PDF with solutions
Goa PCS Pre-Screening Mock Test- 6 - Question 1
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Directions : Study the following information carefully and answer the questions given below: 

Eight friends A, B, C, D, E, F, G and H are sitting around a circular table, but not necessarily in the same order all are seated at equal distance, all are facing in same direction. All of them have a lucky number i.e. 141, 242, 324, 384, 427, 835, 844, and 960 but not necessarily in the same order.
E’s lucky number is 2.5 times of D’s lucky number. D is not an immediate neighbor of C and the one whose lucky number is 835. There is an angle of 1800 degree between H and G who is not an immediate neighbor of D. The one whose lucky number is 844 and the one whose lucky number is an odd number as well as not divisible by 7 sit opposite to each other. There is an angle of 135 ̊ between F and the one whose lucky number is 141. C sits at 900 degree clockwise direction of A. F’s lucky number is 7th highest and is not an immediate neighbor of C. Lucky number of the one, who sits 2nd to right of C is an odd palindrome number. G’s lucky number is perfect square. There is an angle of 90 ̊ between A and B. C’s lucky number is 7th lowest number. 

Q. How many persons sit between E and the one, whose lucky number is 242?

Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 1

Goa PCS Pre-Screening Mock Test- 6 - Question 2
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Directions : Study the following information carefully and answer the questions given below: 

Eight friends A, B, C, D, E, F, G and H are sitting around a circular table, but not necessarily in the same order all are seated at equal distance, all are facing in same direction. All of them have a lucky number i.e. 141, 242, 324, 384, 427, 835, 844, and 960 but not necessarily in the same order.
E’s lucky number is 2.5 times of D’s lucky number. D is not an immediate neighbor of C and the one whose lucky number is 835. There is an angle of 1800 degree between H and G who is not an immediate neighbor of D. The one whose lucky number is 844 and the one whose lucky number is an odd number as well as not divisible by 7 sit opposite to each other. There is an angle of 135 ̊ between F and the one whose lucky number is 141. C sits at 900 degree clockwise direction of A. F’s lucky number is 7th highest and is not an immediate neighbor of C. Lucky number of the one, who sits 2nd to right of C is an odd palindrome number. G’s lucky number is perfect square. There is an angle of 90 ̊ between A and B. C’s lucky number is 7th lowest number. 

Q. Who among the followings sits immediate left of the one who is 3rd to the left of H?

Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 2

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Goa PCS Pre-Screening Mock Test- 6 - Question 3
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Directions : Study the following information carefully and answer the questions given below: 

Eight friends A, B, C, D, E, F, G and H are sitting around a circular table, but not necessarily in the same order all are seated at equal distance, all are facing in same direction. All of them have a lucky number i.e. 141, 242, 324, 384, 427, 835, 844, and 960 but not necessarily in the same order.
E’s lucky number is 2.5 times of D’s lucky number. D is not an immediate neighbor of C and the one whose lucky number is 835. There is an angle of 1800 degree between H and G who is not an immediate neighbor of D. The one whose lucky number is 844 and the one whose lucky number is an odd number as well as not divisible by 7 sit opposite to each other. There is an angle of 135 ̊ between F and the one whose lucky number is 141. C sits at 900 degree clockwise direction of A. F’s lucky number is 7th highest and is not an immediate neighbor of C. Lucky number of the one, who sits 2nd to right of C is an odd palindrome number. G’s lucky number is perfect square. There is an angle of 90 ̊ between A and B. C’s lucky number is 7th lowest number. 

Q. What is the lucky number of E?

Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 3

Goa PCS Pre-Screening Mock Test- 6 - Question 4
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Directions : Study the following information carefully and answer the questions given below: 

Eight friends A, B, C, D, E, F, G and H are sitting around a circular table, but not necessarily in the same order all are seated at equal distance, all are facing in same direction. All of them have a lucky number i.e. 141, 242, 324, 384, 427, 835, 844, and 960 but not necessarily in the same order.
E’s lucky number is 2.5 times of D’s lucky number. D is not an immediate neighbor of C and the one whose lucky number is 835. There is an angle of 1800 degree between H and G who is not an immediate neighbor of D. The one whose lucky number is 844 and the one whose lucky number is an odd number as well as not divisible by 7 sit opposite to each other. There is an angle of 135 ̊ between F and the one whose lucky number is 141. C sits at 900 degree clockwise direction of A. F’s lucky number is 7th highest and is not an immediate neighbor of C. Lucky number of the one, who sits 2nd to right of C is an odd palindrome number. G’s lucky number is perfect square. There is an angle of 90 ̊ between A and B. C’s lucky number is 7th lowest number. 

Q. Who sits immediate left of C?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 4

Goa PCS Pre-Screening Mock Test- 6 - Question 5
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Directions : Study the following information carefully and answer the questions given below: 

Eight friends A, B, C, D, E, F, G and H are sitting around a circular table, but not necessarily in the same order all are seated at equal distance, all are facing in same direction. All of them have a lucky number i.e. 141, 242, 324, 384, 427, 835, 844, and 960 but not necessarily in the same order.
E’s lucky number is 2.5 times of D’s lucky number. D is not an immediate neighbor of C and the one whose lucky number is 835. There is an angle of 1800 degree between H and G who is not an immediate neighbor of D. The one whose lucky number is 844 and the one whose lucky number is an odd number as well as not divisible by 7 sit opposite to each other. There is an angle of 135 ̊ between F and the one whose lucky number is 141. C sits at 900 degree clockwise direction of A. F’s lucky number is 7th highest and is not an immediate neighbor of C. Lucky number of the one, who sits 2nd to right of C is an odd palindrome number. G’s lucky number is perfect square. There is an angle of 90 ̊ between A and B. C’s lucky number is 7th lowest number. 

Q. What is the lucky number of the one who sits 2nd right of F?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 5

Goa PCS Pre-Screening Mock Test- 6 - Question 6
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Directions: In the given questions, assuming the given statements to be true. Find which of the given four conclusions numbered I, II, III and IV is/are definitely true and give your answer accordingly.

Q. Statement: S > M ≥ D > H ≤ R ≤ T < W

Conclusions: 

I. S > H 

II. W > H 

III. R < W 

IV. M > T
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 6

Conclusions:

I. S > H (  True)

II. W > H(  True)

III. R < W(  True)

IV. M > T( Not True)

Goa PCS Pre-Screening Mock Test- 6 - Question 7
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Directions: In the given questions, assuming the given statements to be true. Find which of the given four conclusions numbered I, II, III and IV is/are definitely true and give your answer accordingly.

Q. Statement: M > U > L ≤ N; L ≥ Y > A

Conclusions: 

I. Y < N 

II. M>N 

III. N = Y 

IV. M > A
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 7

Conclusions:

I. Y < N ( Not True)

II. M>N( Not True)

III. N = Y( Not True)

IV. M > A(  True)

Goa PCS Pre-Screening Mock Test- 6 - Question 8
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Directions: In the given questions, assuming the given statements to be true. Find which of the given four conclusions numbered I, II, III and IV is/are definitely true and give your answer accordingly.

Q. Statement: J ≥ A > D = E; L < A < M

Conclusions: 

I. M < J 

II. J > L 

III. D > L 

IV. E < M
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 8

Conclusions:

I. M < J ( Not True)

II. J > L(  True)

III. D > L( Not True)

IV. E < M(  True)

Goa PCS Pre-Screening Mock Test- 6 - Question 9
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Directions: In the given questions, assuming the given statements to be true. Find which of the given four conclusions numbered I, II, III and IV is/are definitely true and give your answer accordingly.

Q. Statement: Y > F ≤ O ≤ P; F ≥ U < T

Conclusions: 

I. Y > P 

II. T < F 

III. O > T 

IV. P < U
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 9

Conclusions:

I. Y > P( Not True)

II. T < F( Not True)

III. O > T( Not True)

IV. P < U( Not True)

Goa PCS Pre-Screening Mock Test- 6 - Question 10
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Directions: In the given questions, assuming the given statements to be true. Find which of the given four conclusions numbered I, II, III and IV is/are definitely true and give your answer accordingly.

Q. Statement: K ≤ O < M D = T; 

Conclusions: 

I. T < E 

II. K > J 

III. T > O 

IV. E < M
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 10

Conclusions:

I. T < E (True)

II. K > J (Not True)

III. T > O (Not True)

IV. E < M (Not True)

Goa PCS Pre-Screening Mock Test- 6 - Question 11
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Directions : Study the information carefully and answer the questions given below.

Six persons A, B, C, D, E and F are comparing their weights and each of them is having a different weight. D is heavier than only two persons. E is the only person heavier than F and lighter than D. C’s weight is less than only B’s weight. The third heaviest weight is 150kgs and the fifth heaviest weight is 110kgs.

Q. What is the possible weight of D?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 11

Goa PCS Pre-Screening Mock Test- 6 - Question 12
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Directions : Study the information carefully and answer the questions given below.

Six persons A, B, C, D, E and F are comparing their weights and each of them is having a different weight. D is heavier than only two persons. E is the only person heavier than F and lighter than D. C’s weight is less than only B’s weight. The third heaviest weight is 150kgs and the fifth heaviest weight is 110kgs.

Q. If the heaviest weight is 50kgs more than A’s weight, then what is the possible weight of C?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 12

Goa PCS Pre-Screening Mock Test- 6 - Question 13
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If 2 is subtracted from each odd digit in the number 7854392 and 1 is added to each even digit in number then which of the following digit is repeated in the digits so obtained?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 13

7854392=5935173

(Repeated digits are 5,3)

Goa PCS Pre-Screening Mock Test- 6 - Question 14
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How many such pairs of letters are there in the word “MANGO” each of which has as many letters between them in the word as in the English alphabet? 
Goa PCS Pre-Screening Mock Test- 6 - Question 15
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In a certain code, MAIN is written as IMNA and GOAL is written as AGLO. How is DUSK written in that code?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 15

DUSK is written as = SDKU

Goa PCS Pre-Screening Mock Test- 6 - Question 16
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Directions : Study the information and answer the following questions.

In a certain code 

‘always to be right’ is written as ‘4 9 3 2’ 

‘right is also just’ is written as ‘9 7 6 5’ 

‘come to terms is written as ‘1 3 8’, 

terms are just’ is written as ‘0 1 6’ and 

‘always is’ is written as ‘7 4’.

Q. What does ‘6’ represent in this code?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 16

Goa PCS Pre-Screening Mock Test- 6 - Question 17
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Directions : Study the information and answer the following questions.

In a certain code 

‘always to be right’ is written as ‘4 9 3 2’ 

‘right is also just’ is written as ‘9 7 6 5’ 

‘come to terms is written as ‘1 3 8’, 

terms are just’ is written as ‘0 1 6’ and 

‘always is’ is written as ‘7 4’.

Q. Which of the following is the code for ‘right’?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 17

Goa PCS Pre-Screening Mock Test- 6 - Question 18
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Directions : Study the information and answer the following questions.

In a certain code 

‘always to be right’ is written as ‘4 9 3 2’ 

‘right is also just’ is written as ‘9 7 6 5’ 

‘come to terms is written as ‘1 3 8’, 

terms are just’ is written as ‘0 1 6’ and 

‘always is’ is written as ‘7 4’.

Q. Which of the following represents ‘always be right terms’?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 18

Goa PCS Pre-Screening Mock Test- 6 - Question 19
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Directions : Study the information and answer the following questions.

In a certain code 

‘always to be right’ is written as ‘4 9 3 2’ 

‘right is also just’ is written as ‘9 7 6 5’ 

‘come to terms is written as ‘1 3 8’, 

terms are just’ is written as ‘0 1 6’ and 

‘always is’ is written as ‘7 4’.

Q. Which of the following can be coded as ‘86315’ ?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 19

Goa PCS Pre-Screening Mock Test- 6 - Question 20
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Directions : Study the information and answer the following questions.

In a certain code 

‘always to be right’ is written as ‘4 9 3 2’ 

‘right is also just’ is written as ‘9 7 6 5’ 

‘come to terms is written as ‘1 3 8’, 

terms are just’ is written as ‘0 1 6’ and 

‘always is’ is written as ‘7 4’.

Q. Which of the following is the code for ‘come’?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 20

Goa PCS Pre-Screening Mock Test- 6 - Question 21
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Directions : Study the given information carefully to answer the given questions :

Ten persons are sitting in two parallel rows containing five persons each, in such a way that there is an equal distance between adjacent persons. In row —1, J, K, L, M, and N are seated (not necessarily in the same order) and all or them are facing south. In row-2, V, W, X, Y and Z are seated (not necessarily in the same order) and all of them are facing north. Therefore in the given seating arrangement each member seated in row faces another member of the other row. Z sits third to the right of W. V sits second to the left of Z. The person facing V sits to the immediate right of K. Only one person sits between K and M. J is not an immediate neighbour of K. Only two persons sit between J and L. Neither K nor J faces Y. 

Q. Who amongst the following is facing N?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 21

Goa PCS Pre-Screening Mock Test- 6 - Question 22
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Directions : Study the given information carefully to answer the given questions :

Ten persons are sitting in two parallel rows containing five persons each, in such a way that there is an equal distance between adjacent persons. In row —1, J, K, L, M, and N are seated (not necessarily in the same order) and all or them are facing south. In row-2, V, W, X, Y and Z are seated (not necessarily in the same order) and all of them are facing north. Therefore in the given seating arrangement each member seated in row faces another member of the other row. Z sits third to the right of W. V sits second to the left of Z. The person facing V sits to the immediate right of K. Only one person sits between K and M. J is not an immediate neighbour of K. Only two persons sit between J and L. Neither K nor J faces Y. 

Q. Which of the following statements is true regarding M?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 22

Goa PCS Pre-Screening Mock Test- 6 - Question 23
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Directions : Study the given information carefully to answer the given questions :

Ten persons are sitting in two parallel rows containing five persons each, in such a way that there is an equal distance between adjacent persons. In row —1, J, K, L, M, and N are seated (not necessarily in the same order) and all or them are facing south. In row-2, V, W, X, Y and Z are seated (not necessarily in the same order) and all of them are facing north. Therefore in the given seating arrangement each member seated in row faces another member of the other row. Z sits third to the right of W. V sits second to the left of Z. The person facing V sits to the immediate right of K. Only one person sits between K and M. J is not an immediate neighbour of K. Only two persons sit between J and L. Neither K nor J faces Y. 

Q. Who amongst the following is facing X?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 23

Goa PCS Pre-Screening Mock Test- 6 - Question 24
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Directions : Study the given information carefully to answer the given questions :

Ten persons are sitting in two parallel rows containing five persons each, in such a way that there is an equal distance between adjacent persons. In row —1, J, K, L, M, and N are seated (not necessarily in the same order) and all or them are facing south. In row-2, V, W, X, Y and Z are seated (not necessarily in the same order) and all of them are facing north. Therefore in the given seating arrangement each member seated in row faces another member of the other row. Z sits third to the right of W. V sits second to the left of Z. The person facing V sits to the immediate right of K. Only one person sits between K and M. J is not an immediate neighbour of K. Only two persons sit between J and L. Neither K nor J faces Y. 

Q. What is the position of Z with respect of Y?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 24

Goa PCS Pre-Screening Mock Test- 6 - Question 25
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Directions : Study the given information carefully to answer the given questions :

Ten persons are sitting in two parallel rows containing five persons each, in such a way that there is an equal distance between adjacent persons. In row —1, J, K, L, M, and N are seated (not necessarily in the same order) and all or them are facing south. In row-2, V, W, X, Y and Z are seated (not necessarily in the same order) and all of them are facing north. Therefore in the given seating arrangement each member seated in row faces another member of the other row. Z sits third to the right of W. V sits second to the left of Z. The person facing V sits to the immediate right of K. Only one person sits between K and M. J is not an immediate neighbour of K. Only two persons sit between J and L. Neither K nor J faces Y. 

Q. Four of the following five are alike in a certain way based on the given arrangement and hence form a group. Which of them does not belong to that group?
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 25

Goa PCS Pre-Screening Mock Test- 6 - Question 26
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In each of these questions two equations numbered (i) and (ii) are given. You have to solve both the equations and give answer, if –

(i) p² - 24p + 144 = 0

(ii) q ² - 26q + 169 = 0
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 26
(i) p2 - 24p + 144 = 0

⇒ (p - 12)² = 0

⇒ p - 12 = 0

⇒ p = 12

(ii) q² - 26q + 169 = 0

⇒ (q - 13 )² = 0

⇒ q - 13 = 0

⇒ q = 13

Hence, p < q

Goa PCS Pre-Screening Mock Test- 6 - Question 27
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If 12 kg of Ayurvedic powder I at Rs. 40 per kg is mixed with 10 kg of an Ayurvedic powder II at Rs. 45 per kg. Find the average price of the Ayurvedic powder mixture.
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 27
The cost of 1 kg of an Ayurvedic powder I = Rs. 40

The cost of 1 kg of an Ayurvedic powder II = Rs. 45

Amount of Ayurvedic powder I and II mixture = 12 kg and 10 kg

The ratio of quantity of Ayurvedic Powder mixture = 12/10 = 6/5

Let the average price of a mixture be Rs. 'a'

⇒ 6:5 = (45−a):(a − 40)

⇒ 6(a−40) = 5(45 − a)

⇒ 6a−240 = 225 − 5a

⇒ 11a = 465

⇒ a = 42.27

∴ The average price of Ayurvedic Powder mixture is Rs. 42.27.

Hence, the correct option is (A).

Goa PCS Pre-Screening Mock Test- 6 - Question 28
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In each of these questions two equations numbered (i) and (ii) are given. You have to solve both the equations and give answer, if –

(i) 2p2 + 3p - 20 = 0

(ii) 2q² + 19q + 44 = 0
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 28
2p2 + 3p - 20 = 0

⇒ 2p2 + 8p - 5p - 20 = 0

⇒ 2p (p + 4 ) - 5(p + 4 ) = 0

⇒ ( 2p – 5 )(p + 4)

p = - 4 or 5/2

(ii) 2q2 + 19q + 44 = 0

⇒ 2q2 + 8q + 11q + 44 = 0

⇒ 2q (q + 4 ) + 11(q + 4 ) = 0

⇒ (q + 4) (2q + 11) = 0

⇒ q = - 11/2 or – 4

Hence, p ≥ q

Alternate Method:

if signs of quadratic equation is +ve and -ve respectively then the roots of equation will be -ve and +ve. (note: -ve sign will come in larger root)

So, roots of first equation = p = -4, 5/2

if signs of quadratic equation is +ve and +ve respectively then the roots of equation will be -ve and -ve.

So, roots of second equation = q = -11/2, -4

After comparing roots of quadratic eqution we can conclude that p ≥ q.

Goa PCS Pre-Screening Mock Test- 6 - Question 29
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What should come in place of question mark ‘?’ in the following number series?

401, 201,101, 51,?.
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 29
The pattern for the given series is

Goa PCS Pre-Screening Mock Test- 6 - Question 30
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Direction∶ Study the following Bar Graph and answer the following questions.

The Bar Graph shows the distribution of the total number of eligible voters and the total number of people who did not vote in 5 cities.

Q. Find the ratio of the minimum number of people who voted from these 5 cities to the maximum number of people who voted from these 5 cities.
Detailed Solution for Goa PCS Pre-Screening Mock Test- 6 - Question 30
For Delhi

Total number of eligible voters = 130000

Total number of people who did not vote = 70000

⇒ Total number of people who voted = 130000 − 70000 = 60000

For Mumbai

Total number of eligible voters = 140000

Total number of people who did not vote = 40000

⇒ Total number of people who voted = 140000 − 40000 = 100000

For Pune

Total number of eligible voters = 130000

Total number of people who did not vote = 30000

⇒ Total number of people who voted = 130000 − 30000 = 100000

For Jaipur

Total number of eligible voters = 150000

Total number of people who did not vote = 20000

⇒ Total number of people who voted = 150000 − 20000 = 130000

For Surat

Total number of eligible voters = 110000

Total number of people who did not vote = 50000

⇒ Total number of people who voted = 110000 − 50000 = 60000

Minimum number of people who voted is in Delhi and Surat = 60000

Maximum number of people who voted is in Jaipur = 130000

∴ Required Ratio = 60000/130000 = 6:13

Hence, the correct option is (E).

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