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UGEE REAP Mock Test- 6 - JEE MCQ


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50 Questions MCQ Test UGEE Mock Test Series 2024 - UGEE REAP Mock Test- 6

UGEE REAP Mock Test- 6 for JEE 2024 is part of UGEE Mock Test Series 2024 preparation. The UGEE REAP Mock Test- 6 questions and answers have been prepared according to the JEE exam syllabus.The UGEE REAP Mock Test- 6 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for UGEE REAP Mock Test- 6 below.
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UGEE REAP Mock Test- 6 - Question 1

Nishu and Archana can do a piece of work in 10 days and Nishu alone can do it in 12 days. In How- many days can Archana do it alone?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 1

One day work of both 1/10

and Nishu’s day -work = 1/12

So, Archana’s one day work = 1/10 - 1/12 = 2/120 = 1/60

So, 60 days required to finish the work by Archana.

UGEE REAP Mock Test- 6 - Question 2

A can do a piece of work in 10 days and B can do the same work in 20 days. With the help of C, they finish the work in 5 days. How long will It take for C alone to finish the work?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 2
⅕ - 1/10 - 1/20 = 1/20

This is C’s one day work so 20 days are required for C alone to finish the task.

UGEE REAP Mock Test- 6 - Question 3

Twenty workers can finish a piece of work in 30 days. After how many days should 5 workers leave the job so that the work is completed in 35 days?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 3
Man x Day = Man . Day

20 x 30 = 600

Let 5 workers leave after x days then 20 + 15 (35 - x) = 600

5x + 525 = 600

5x = 75, x = 15

UGEE REAP Mock Test- 6 - Question 4

Akshay borrowed Rs 2100 at compound interest of 5% per annum for 2 years. What is the total the amount due after two years?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 4

Here P = 2100, R = 5%, T = 2 years

UGEE REAP Mock Test- 6 - Question 5

What is the difference between the simple interest on a principal of Rs. 500 being calculated at 5% per annum for 3 years and 4% per annum for 4 years?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 5
P = Rs. 500, R1 = 5%, R2 = 4%, T1 = 3 years, T2 = 4 years

Difference = PR1T1/100 - PR2T2/100 = Rs. 5.

UGEE REAP Mock Test- 6 - Question 6

Find the compound interest on Rs. 1000 at the rate of 20% per annum for 18 months when interest is compounded half-yearly.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 6

Here P = Rs. 1000, R = 20%, T = 18 months or 1(½) years.

Compound interest when interest is compounded annually

hence interest is= 1331-1000=331

UGEE REAP Mock Test- 6 - Question 7

A train is moving at a speed of 132 kmph. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 m long?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 7

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UGEE REAP Mock Test- 6 - Question 8

A train 300 m long crossed a platform 900 m long in 1 minute 12 seconds. The speed of the train (in km/hr) is

Detailed Solution for UGEE REAP Mock Test- 6 - Question 8
Total distance covered = (300 + 900)m = 1200m.

Time taken = 1 min. 12 sec = 72 sec,

∴ Speed = (1200/72)m/sec.

= (1200/72 x 18/5) km/hr = 60km/hr

UGEE REAP Mock Test- 6 - Question 9

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is

Detailed Solution for UGEE REAP Mock Test- 6 - Question 9
Let foe length of train be x metres and its speed by y metres/sec.

Then, x/y = 15 ⇒ y = x/15

⇒ x = 150 m/s

UGEE REAP Mock Test- 6 - Question 10

Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, ___, 47

Detailed Solution for UGEE REAP Mock Test- 6 - Question 10
Difference between No. is in AP, i.e., Difference between No is 7,9,11,13.
UGEE REAP Mock Test- 6 - Question 11

A known positive charge is located at point P between two unknown charges, Q1 and Q2. P is closer to Q2 than Q1. If the net electric force acting on the charge at P is zero, it may correctly be concluded that:

Detailed Solution for UGEE REAP Mock Test- 6 - Question 11

To Balance the Forces, it is clear that Q1, Q2 must have the same sign of charges by which Both will Attract or Both will Repel to Balance the forces.

As Distance is not Same so, Their Magnitude be different. F = kq1q2/d as F ~ 1/d (Inversely Proportion) so in between Q2 & P as d is Less Hence F is more to Balance it so, Q2 must be more.

UGEE REAP Mock Test- 6 - Question 12

Which of the following solutions, when mixed, will not form a buffer solution?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 12
Buffer Solution is a Solution which Resist change in pH

For a Buffer Solution: Existence of both weak part & its Conjugate is Required.

In (A) As NaOH is more than CH3COOH so, CH3COOH will be the LR (Limiting Reagent) & No Conjugate Part Will Remain.

UGEE REAP Mock Test- 6 - Question 13
Three identical masses are at the three corners of the triangle, connected by massless identical springs (rest length 10) forming an isosceles right-angle triangle. If the two sides of equal length (of length 210) lie along positive x-axis and positive y-axis, then the force on the mass that is not at the origin but on the x-axis is given by with
Detailed Solution for UGEE REAP Mock Test- 6 - Question 13
Que Directly from NCERT Exemplar Available on IIITprep.com SUPR Book

Mainly 2 types of forces are Considered here

1. Gravitational Force

2. Spring Force

The Spring force is kx2 where x is Elongation. Now take the Proper Direction of Forces. Resolve its Component along x axis & y axis i.e. so, a = -2 & b = 1

UGEE REAP Mock Test- 6 - Question 14

Consider a rope fixed at both ends under tension so that it is horizontal (i.e., assume the rope is along the x-axis, with gravity acting along the z-axis). Now the right end is continually oscillated at high frequency n (say n=100 Hz) horizontally and in a direction along the rope; amplitude of oscillation is negligible. The oscillation travels along the rope and is reflected at the left end.

Let the total length of rope be I, total mass be m and the acceleration due to gravity be g.

After initial phase (say a minute or so), the rope has (BLANK-1)_ wave, which is_(BLANK-2)__in nature. It results from superposition of left travelling and right traveling _(BLANK-3) waves. This resulting wave has a frequency__(BLANK-4) _ that of oscillation frequency nu, Simpy&fmensional analysis indicates that the frequency of can be of the form:___(BLANK-5)__.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 14

Answer:

1. Nature of the resulting wave
The resulting wave on the rope after the initial phase is a transverse wave.

2. Frequency of the resulting wave
The frequency of the resulting wave is equal to the oscillation frequency n.

3. Superposition of waves
The resulting wave is formed due to the superposition of left traveling and right traveling waves.

4. Form of the frequency of the resulting wave
The frequency of the resulting wave can be expressed in the form:

(sqrt(g/l))

Explanation:

Let's analyze the given scenario step by step to understand the nature of the wave and its frequency.

1. As the right end of the rope is oscillated horizontally at a high frequency n, a wave is generated that travels along the rope. This wave can be considered as a right traveling wave.

2. When this wave reaches the left end of the rope, it gets reflected. The reflected wave can be considered as a left traveling wave.

3. The resulting wave on the rope is formed due to the superposition of the left and right traveling waves. Since the rope is fixed at both ends, the resulting wave is a standing wave.

4. The standing wave on the rope has a frequency that is equal to the oscillation frequency n. This means that the frequency of the resulting wave is equal to the frequency of the oscillation applied at the right end of the rope.

5. Dimensional analysis suggests that the frequency of the resulting wave can be expressed in terms of the acceleration due to gravity (g) and the length of the rope (l). The only combination that gives a frequency is sqrt(g/l).

Therefore, the answer is: stationary, transverse, regular, equal to, sqrt (g/l)

UGEE REAP Mock Test- 6 - Question 15

The value of (√8) is:

Detailed Solution for UGEE REAP Mock Test- 6 - Question 15

UGEE REAP Mock Test- 6 - Question 16

(1/216)-⅔ / (1/27)-4/3 = ?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 16

UGEE REAP Mock Test- 6 - Question 17

If √2n = 64, then the value of n is:

Detailed Solution for UGEE REAP Mock Test- 6 - Question 17
√2n = 64 ⇒ 2n/2 = 64 = 26.

∴ n/2 = 6 or n = 12

UGEE REAP Mock Test- 6 - Question 18
If then n equals:
Detailed Solution for UGEE REAP Mock Test- 6 - Question 18

Or 32n + 14 = 320

∴ 2n + 14 = 20

Or 2n = 6 or n = 3.

UGEE REAP Mock Test- 6 - Question 19

How many terms are there in the AP 20, 25, 30, .............. 130.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 19
In series 20, 25, 3 0 .............. 130.

a = 20, d = 5

nth term is 130

⇒ 20 + (n - 1) 5 = 130

⇒ 5n = 115, n = 23

UGEE REAP Mock Test- 6 - Question 20

Find the 1st term of an AP whose 8th and 12 m terms are respectively 39 and 59.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 20
Here a + 7d = 39 …(i)

a + 11d = 59

So, 4d = 20

d = 5

a + (7 x 5) = 39

So, a = 4

UGEE REAP Mock Test- 6 - Question 21

Find the 15th term of the sequence 20, 15, 10 .......

Detailed Solution for UGEE REAP Mock Test- 6 - Question 21
AP 20,15,10

Here a = 20

d = - 5

15th term will be a + 14d which is equal to 20 + (-5) x 14 = -50

UGEE REAP Mock Test- 6 - Question 22

A number 15 is divided into three parts which are in AP and the sum of their squares is 83. Find the smallest number.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 22
Let numbers are

a - d, a and a + d

now it is given that sum = 15 & sum of there square is 83 i.e,

3a = 15 …(i)

(a - d)2 + a2 + (a + d)2 = 83 …(ii)

3a2 + 2d2 = 83

75 +2d2 = 83

2d2 = 8

d2 = 4, d = 2

So, least term is a - d = 3

UGEE REAP Mock Test- 6 - Question 23

How many different words can be formed with the letters of the word ‘BHARAT’?

In how many of these B and H are never together?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 23
Out of letters in the word ‘BHARAT' two letters, that is, A's are alike.

∴ Number of permutations = 6!/21 = 360.

Number of words in which B and H are never together = Total number of words - number of words in which B and H are together

= 360 - (5!/2!).2! = 360 - 120 = 240.

UGEE REAP Mock Test- 6 - Question 24

There are 15 buses running between Delhi and Mumbai. In how many ways can a man go to Mumbai and return by a different bus?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 24
The first event of going from Delhi to Mumbai can be performed in 15 ways as he can go by any of the 15 buses. But the event of coming back from Mumbai can be performed in 14 ways ( a different bus is to be taken).

Hence, both the events can be performed in 15 x 14 = 210 ways.

UGEE REAP Mock Test- 6 - Question 25

A teacher of a class wants to set one question from each of two exercises in a book. If there are 15 and 12 questions in the two exercises respectively, then in how many ways can the two questions be selected?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 25
Since the first exercise contains 15 questions, the number of ways of choosing the first question In 15.

Since the second exercise contains 12 questions, the number of ways of choosing the second question is 12. Hence, by the fundamental principle, two questions can be selected in 15 x 12 = 180 ways.

UGEE REAP Mock Test- 6 - Question 26

Find the probability that in a random arrangement of the letters of the word DAUGHTER, the letter D occupies the first place.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 26
If D occupies the first place n(A) = 7!, Total words = n(S) = 8!

∴ Required probability

UGEE REAP Mock Test- 6 - Question 27

Find the probability that in a random arrangement of letter of the words “UNIVERSITY” two ‘I’s do not come together.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 27
Out of theTetters in the word ‘UNIVERSITY’ two letters ‘I’ are alike.

∴ Number of permutations = 10!/2 …(i)

Number of words in which two ‘I’ are never together = Total number of words - Number of words in which two ‘I’ are together

∴ Required probability =

= 8/10 = ⅘.

UGEE REAP Mock Test- 6 - Question 28

A and B are mutually exclusive events of an experiment. If P ('not A’) = 0.65, P(AB) = 0.65 and P(B) = P, find the value of p.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 28
We know P(A) = 1-P(A)

= 1 - 0.65 = 0.35 and

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ 0.65 = 0.35 + P(B) - 0

[∵ A and B are mutually exclusive events]

⇒ P(B) = 0.65 - 0.35 = 0.30.

UGEE REAP Mock Test- 6 - Question 29

Direction: Read the following information carefully and answer the questions given below it P is the son of Q. R, Q’s sister has a son S and daughters T. U is the maternal uncle of S.

Q. How is P related to S?

UGEE REAP Mock Test- 6 - Question 30

Direction: Read the following information carefully and answer the questions given below it P is the son of Q. R, Q’s sister has a son S and daughters T. U is the maternal uncle of S.

Q. How is T related to U?

UGEE REAP Mock Test- 6 - Question 31

Direction: Read the following information carefully and answer the questions given below it P is the son of Q. R, Q’s sister has a son S and daughters T. U is the maternal uncle of S.

Q. How many nephew does U have?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 31

 

The correct option is C Two
Q....R––...U

P S...T––

Option (c) Two

UGEE REAP Mock Test- 6 - Question 32

Direction : Read the following information carefully and answer the question below it.

Q. If Rat is called Dog', ‘Dog is called Mongoose', ‘Mongoose’ is called Lion;, ‘Lion Is called Snake’ and 'Snake is catted Elephant’, which animal is reared as pet?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 32
'Dog' is reared as pet. But 'Dog' is called 'Mongoose'. So, a 'Mongoose' is reared as pet.
UGEE REAP Mock Test- 6 - Question 33

Direction : Read the following information carefully and answer the question below it.

Q. In a certain code language, ‘kew xas huma deko' means ‘she is eating apples’, ’kew tepo qua’ means ‘she sells toys’ and 'su lim deko’ means ‘I like apples’. Which word in that language means she and apples?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 33
In the 1st and 2nd statements, the common code word is kew and the common word is she.
UGEE REAP Mock Test- 6 - Question 34

Direction : Read the following information carefully and answer the question below it.

Q. If ‘gnr tag zog qmp’ stands for ‘Seoul Olympic Organising Committee, ‘hydro gnr emf stands for 'Summer Olympic Games' and 'esm sdr hyto' stands for 'Modern Games History’, which would be the code for Summer?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 34

Correct answer is emf.

UGEE REAP Mock Test- 6 - Question 35

Direction : A cube is divided into 216 identical cubelets. Each cut is made parallel to some surface of cube. But before cutting the cube is colored with green color on one set of opposite faces, red on the other set of opposite faces and blue on the third set.

Q. How many cubelets are there which are painted with at least two color?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 35
Because cube was painted with same color on opposite set of faces. We can still used formula.

[(n-2) + 2]3 = 3Co(n-2)3 + 3C1(n-2)2 x 2 + 3C2 (n-2) x 22 + 3C3 x 23

Basically we are looking for no. of cubes which colored on two faces or three face

= 3C2 (n-2) x 22 + 3C3 x 23

= 3 x ( n - 2) x 4 + 8

= 3 x 4 x 4 + 8 = 56

Option (b)

UGEE REAP Mock Test- 6 - Question 36

Direction : A cube is divided into 216 identical cubelets. Each cut is made parallel to some surface of cube. But before cutting the cube is colored with green color on one set of opposite faces, red on the other set of opposite faces and blue on the third set.

Q. How many cubits ere there which are painted with at most one color?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 36
Because cube was painted with same color on opposite set of faces. We can still used formula.

[(n-2) + 2]3 = 3Co(n-2)3 + 3C1(n-2)2 x 2 + 3C2 (n-2) x 22 + 3C3 x 23

Basically in this question we are looking for no. of cubeit, which are colored on just one face.

= 3C0(n-2)3 + 3C1(n-2)2 x 2

= (n-2)3 + 3 x 2 x (n-2)2

= 43 + 6 x 42

⇒ 64 + 96 = 160.

Alternatively : Total no. cubelets which are colored an at most are face - total no. of cube lets - total no. of cube let's which are colored on multiple faces. = 216 - 56 = 160.

UGEE REAP Mock Test- 6 - Question 37

Direction : A cube is painted and then divided cut into 336 smaller but identical pieces by making the minimum number of cuts possible. All cuts are parallel to some face.

Q. How many smaller pieces have exactly 3 painted faces?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 37
Number of Identical pieces 336 = 8 x 7 x 6. Hence we need 7 cuts in Z-direction, 6 cuts in Y-direction, 5-cuts In X-directions.

Means our cube cut into 8 parts along Z-direction say nz = 8, similarly nY = 7, nx = 6.

For total number of identical pieces we can say nx x nY x nz = 336.

{(nx - 2) + 2} x {(nY - 2) + 2} x {(nz - 2) + 2}

Now look at table below:

All pieces from corners of cube = 8

UGEE REAP Mock Test- 6 - Question 38

Direction : A cube is painted and then divided cut into 336 smaller but identical pieces by making the minimum number of cuts possible. All cuts are parallel to some face.

Q. How many smaller pieces have at most one face painted?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 38
Number of Identical pieces 336 = 8 x 7 x 6. Hence we need 7 cuts in Z-direction, 6 cuts in Y-direction, 5-cuts In X-directions.

Means our cube cut into 8 parts along Z-direction say nz = 8, similarly nY = 7, nx = 6.

For total number of identical pieces we can say nx x nY x nz = 336.

{(nx - 2) + 2} x {(nY - 2) + 2} x {(nz - 2) + 2}

Now look at table below:

No. faces painted + one face painted = 120 + 148 = 268

UGEE REAP Mock Test- 6 - Question 39

Ram a college student is facing north-west. He turns 90° in the clockwise direction and then 135° in the anticlockwise direction. Which direction is he facing = now?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 39
As shown in Fig., Ram initially faces in the direction OP. On moving 90° clockwise, he faces in the direction OQ. On further moving 135° anticlockwise, he faces in the direction OR, which is West.

UGEE REAP Mock Test- 6 - Question 40

Neelesh leaves for his office from his house. He walks towards East. After moving a distance of 20 m, he turns towards South and walks 10 m. Then he walks 35 m towards the West and further. 5 m towards the North. He then turns towards East and walks 15 m. What, is the straight distance in m between his initial and final positions?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 40
The movement of Neelesh from A to F are as shown in Fig.

Clearly, DC = AB + EF.

∴ F is in line with A.

Also, AF = (BC - DE) = 5m.

So, Neelesh is 5 m away from his initial position.

UGEE REAP Mock Test- 6 - Question 41

A man walks 1 km towards East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km, after this he turns to North and walks 9 km. Now, how far is he from his starting point?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 41
The movements of the man are as shown in Fig. (A to B, B to C, C to D, D to E).

Clearly, DF = BC = 5 km.

EF = (DE - DF) = (9 - 5) km = 4 km.

BF = CD = 2 km

AF = AB + BF = AB + CD = (1 + 2) km = 3 km

∴ Man's distance from starting point A

= √25 = 5 km

UGEE REAP Mock Test- 6 - Question 42

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban

(4) Square represents civil servants

Q. Who among the following is uneducated and also, an urban male?
Detailed Solution for UGEE REAP Mock Test- 6 - Question 42
The person satisfying the given conditions is represented by the region which lies outside the triangle and is common to the circle and the rectangle i.e. 12.

Remember: The condition which is not mentioned shouldn't be considered or assumed. For instance, here, 6 also denotes the required region. But since it lies inside the square and there is no mention of ’civil servant', so it cannot be the answer.

UGEE REAP Mock Test- 6 - Question 43

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban

(4) Square represents civil servants

Q. Who among the following is only a civil servant b neither a male nor urban oriented and uneducated

Detailed Solution for UGEE REAP Mock Test- 6 - Question 43
The person satisfying the given is denoted by the region which lies inside the square but outside the circle, rectangle and triangle i.e. 7.
UGEE REAP Mock Test- 6 - Question 44

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban

(4) Square represents civil servants

Q. Who among the following is a male, urban oriented and also a civil servant but not educated?
Detailed Solution for UGEE REAP Mock Test- 6 - Question 44
The person satisfying the given conditions is denoted by the region which is common to the rectangle, circie and the square but lies outside the triangle i.e. 6.
UGEE REAP Mock Test- 6 - Question 45

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban

(4) Square represents civil servants

find number of rural male civil servants


Detailed Solution for UGEE REAP Mock Test- 6 - Question 45

The person satisfying the given conditions is represented by the region common to the rectangle and the square but lying outside the triangle and the circle i.e. 13.

UGEE REAP Mock Test- 6 - Question 46

Direction:

(i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.

(ii) F. who is sitting exactly opposite of A, is to the immediate right B.

(iii) D is between A and B and is exactly opposite to C.

Q. A is sitting between which of the following pairs of persons?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 46
Construct the figure

  • From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B.
  • The sitting arrangement can be like this
  • Prom the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this
  • There is only one vacant position for E, so the overall sitting arrangement will be like this

UGEE REAP Mock Test- 6 - Question 47

Direction:

(i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.

(ii) F. who is sitting exactly opposite of A, is to the immediate right B.

(iii) D is between A and B and is exactly opposite to C.

Q. Who is sitting opposite B?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 47
Construct the figure

  • From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B.
  • The sitting arrangement can be like this
  • Prom the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this
  • There is only one vacant position for E, so the overall sitting arrangement will be like this

UGEE REAP Mock Test- 6 - Question 48

Direction:

(i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.

(ii) F. who is sitting exactly opposite of A, is to the immediate right B.

(iii) D is between A and B and is exactly opposite to C.

Q. Three of the following are alike in a certain way on the basis of sitting positions and so from a group. Which is the one that does not belong to the group?

Detailed Solution for UGEE REAP Mock Test- 6 - Question 48
Construct the figure

  • From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B.
  • The sitting arrangement can be like this
  • Prom the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this
  • There is only one vacant position for E, so the overall sitting arrangement will be like this

UGEE REAP Mock Test- 6 - Question 49

Direction: Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Q. Is 1/x greater Than

(i) x is greater than 1.

(ii) x is less than y.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 49

Solution:

To determine whether 1/x is greater than something, we need to know the values of both x and y.

Statement I: x is greater than 1.
Statement II: x is less than y.

Let's analyze each statement separately:

Statement I alone: x is greater than 1.
- This statement provides information about the value of x but doesn't mention anything about y.
- We cannot determine the relationship between 1/x and y solely based on this statement.

Statement II alone: x is less than y.
- This statement provides information about the relationship between x and y but doesn't mention anything about the specific value of x.
- We cannot determine the relationship between 1/x and y solely based on this statement.

Both statements together:
- Combining both statements, we know that x is greater than 1 and x is less than y.
- This implies that y is greater than x, but we still don't have enough information to determine the relationship between 1/x and y.

Therefore, both statements together are not sufficient to answer the question.

The correct answer is C: We cannot get the answer from the Statements I and II together but need even more data.

UGEE REAP Mock Test- 6 - Question 50

Direction: Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Q. The ages of P and G are in the ratio of 7:5. What is the age of P?

(i) The ages of P andNare in the ratio of 3 : 1.

(ii) After 7 yr, the ratio of ages of P and A will be 4:3.

Detailed Solution for UGEE REAP Mock Test- 6 - Question 50

Age of P cannot be found as in the given question, ratio of ages of the P and G is given, while in Statements I and II, the ratio of ages of P and N and P and A, respectively are given. When we make three equations in two variables using given three ratios, no two variables are same in any of the two equations.

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