UGEE REAP Mock Test- 5 - JEE MCQ

# UGEE REAP Mock Test- 5 - JEE MCQ

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## 50 Questions MCQ Test UGEE Mock Test Series 2024 - UGEE REAP Mock Test- 5

UGEE REAP Mock Test- 5 for JEE 2024 is part of UGEE Mock Test Series 2024 preparation. The UGEE REAP Mock Test- 5 questions and answers have been prepared according to the JEE exam syllabus.The UGEE REAP Mock Test- 5 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for UGEE REAP Mock Test- 5 below.
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UGEE REAP Mock Test- 5 - Question 1

### A cistern is normally filled in 5 hours. However, it takes 6 hours when there is leak in its bottom. If the cistern is full, in what time shall the leak empty it?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 1
In one hour 1/5 part is filled now leak can empty in x hour then

⇒ 1/30 = 1/x , x = 30 hours

UGEE REAP Mock Test- 5 - Question 2

### Pipe A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then the time in which A and B will fill the cistern separately will be respectively?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 2
Let pipe A can fill in x and pipe B in x+5 minutes

x = 10, x + 5 = 15

UGEE REAP Mock Test- 5 - Question 3

### There are two pipes in a tank. Pipe A is for filling the tank & Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 3

So it takes 30 hours to fill the tank and 15 horse to fill half the tank

UGEE REAP Mock Test- 5 - Question 4

There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by Tap A alone. Find the percentage of the work done by Tap A by itself.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 4

So remaining part after 5 hour is

32/10 = 3.2 hours

% of work done by A

UGEE REAP Mock Test- 5 - Question 5

A sum-of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times itself?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 5
Let sum = x

⇒ 8 = [21/3]T

⇒ 23 = 2T/3

⇒ T/3 = 3

∴ T = 9 yrs.

Alternative:

If a certain sum of money becomes ‘m’ times in ‘y’ years. Then it will become (mn) times in ‘n x y’ years. Hence 23 in 3 x 3 = 9 years,

UGEE REAP Mock Test- 5 - Question 6

A sum of money becomes 7/4 of itself in 6 years at a certain rate of simple interest. Find the rate of interest.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 6
Let sctm be x

T = 6 Years , R = ?

UGEE REAP Mock Test- 5 - Question 7

A sum of Rs. 600 amounts to Rs. 720 in 4 years at simple interest. What will it amount to if the rate of interest is increased by 2%?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 7

P = Rs. 600, A = Rs. 720

T = 4 years, R = ?

at 7% Rate

A = 600 + 168 = 768

UGEE REAP Mock Test- 5 - Question 8

A man sees a train passing over a bridge 1 km long. The length of the train is half that of the bridge, if the train clears the bridge in 2 minutes, the speed of the train is

Detailed Solution for UGEE REAP Mock Test- 5 - Question 8
Distance travel in 2 minute

Distance covered in hour

∴ Speed of the train = 45 km/hr

UGEE REAP Mock Test- 5 - Question 9

Helium is two times heavier than H2, The average kinetic energy per molecule for helium at 300K is

Detailed Solution for UGEE REAP Mock Test- 5 - Question 9

Kinetic energy per mole or per molecule of a gas depends only on the temperature and not on the nature of the gas.

KE=2/3​RT

So, average kinetic energy of a helium atom is the same as that of a hydrogen molecule.

UGEE REAP Mock Test- 5 - Question 10

When I was a child, there used to be a fair in my town during the Diwali and Eid festivities. Among the many things I saw was a strange puppet show. There were three puppets, one of a man, another of a woman and the third one of a rakshasa (demon). Whenever the rakshasa was brought close to the woman, she would turn her face away. But when the man was brought close to her, she would turn back and face the man.

I and my friends looked at this show and argued for hours what caused the woman to turn her face. Choose one or more of the options below about my childhood experience above:

Q. If there were magnets fixed in the heads the puppets inside the head such that one end of the magnet was at the mouth (M) and the other at the back of the head (B), then the arrangement of the north (N) and south (S) poles of the magnets must be like:

Detailed Solution for UGEE REAP Mock Test- 5 - Question 10
Woman Head & demon Head Repels means, they must have Similar Poles coz, Similar Poles Repels Hence option 4 got Rejected, now after Turning, Woman Back & Man Head must Repel means They must be Similar So, Option 1, 3 got Rejected also. Hence, option 2 is Correct.
UGEE REAP Mock Test- 5 - Question 11

log32 x = 0.8, then x is equal to:

Detailed Solution for UGEE REAP Mock Test- 5 - Question 11
log32 x = 0.8 ⇒ x = (32)0.8

= (25)4/5 = 24 = 16.

UGEE REAP Mock Test- 5 - Question 12

Detailed Solution for UGEE REAP Mock Test- 5 - Question 12

= logabc a + logabc b + logabc c

= logabc (abc) = 1

UGEE REAP Mock Test- 5 - Question 13

If log2[log3(log2x)] = 1, then x is equal to:

Detailed Solution for UGEE REAP Mock Test- 5 - Question 13

log2[log3(log2 x)] = 1

⇒ log3(log2 x) = 2

⇒ log2 x = 32 = 9

⇒ x = 29 = 512

UGEE REAP Mock Test- 5 - Question 14

If log10 2 = 0.3010, then log2 10 is :

Detailed Solution for UGEE REAP Mock Test- 5 - Question 14

UGEE REAP Mock Test- 5 - Question 15

A ball rolling up an incline covers 36 metres during the first second, 32 metres during the second, 28 meters during the next and so on. How much distance will it travel during the 8th second?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 15
Distance covered during the 1st second = 36 m

Distance covered during the 2nd second = 32 m

Distance covered during the 3rd second = 28 m.

The distance covered form an A.P.

= 36 + 32 + 28 .... in which

a = 38, d = -4

∴ Distance covered in 8th second

= 8th term of the A.P.

= a + 7d = 36 + 7 (-4)

= 38 - 28 = 8 metres.

UGEE REAP Mock Test- 5 - Question 16

The sum of first three terms of a GP. is to the sum of first six terms is 125:152. Find the common ratio of G.P.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 16

⇒ 125r3 = 27 ⇒ r3 = 27/125

or, r3 = (3/5)3 , ∴ r = 3/5

UGEE REAP Mock Test- 5 - Question 17

Detailed Solution for UGEE REAP Mock Test- 5 - Question 17
(2 + 31) + (2 + 32) +...+ (2 + 311)

= 2 + 2 + 2 + …..up to 11 terms + (3 + 32 + 33 + …...up tp 11 terms)

UGEE REAP Mock Test- 5 - Question 18

The common ratio of a G.P. is and the sum to infinity is 80/9. Find the First term.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 18

Hence, the first term is 16.

UGEE REAP Mock Test- 5 - Question 19

In how many ways can Ram choose a vowel and a consonant from the letter ALLAHABAD?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 19
In Allahabad we have 4 As that is only one vowel and 4 consonants (B, D, H, L)

So any four combinations.

AB, AD, AH, AL are only 4 possibilities so..

UGEE REAP Mock Test- 5 - Question 20

In how many ways can the letters of the word EQUATION be arranged so that all the vowels come together?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 20
In EQUATION there are five vowels A, E, I, O and U and three consonants N, Q, T so the possible. arrangements, will b e 4! x 5 ! ways.
UGEE REAP Mock Test- 5 - Question 21

There are 25 points on a plane of which 7 are collinear. Now solve the following:

Q. How many straight lines can be formed?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 21

Total number of straights lines

= 25C2 - 7C2 + 1 = 280

25C2 selecting 2 points from total of 25 points
7C2  selecting 2 points from total of 7 points [ subtracting them because they are collinear

UGEE REAP Mock Test- 5 - Question 22

There are 25 points on a plane of which 7 are collinear. Now solve the following:

Q. How many triangles can be formed from these points?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 22
Total triangle formed will be equal to 25C3 - 7C3 = 2265
UGEE REAP Mock Test- 5 - Question 23

Three coins are tossed. Find the probability of no heads.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 23
Sample space S = |HHH, HHT, HTH, HTT, THT, TTH, THH, TTT)

Number of exhaustive cases = -8

P (no heads) = P (ail tails) = 1/8 (∵ there is only favourable case TTT)

UGEE REAP Mock Test- 5 - Question 24

What is the chance that a leap year, selected at random, will contain 53 Sunday?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 24
We know that a leap year has 366 days and thus a leap year has 52 weeks and 2 days over.

The two left over (successive days have the following likely cases:

(i) Sunday and Monday

(ii) Monday and Tuesday

(iii) Tuesday and Wednesday

(iv) Wednesday and Thursday

(v) Thursday and Friday

(vi) Friday and Saturday

(vii) Saturday and Sunday

∴ Number of exhaustive cases ‘n’ = 7

Out of these, the favourable cases are...(i) and (vii)

∴ Number of favourable cases ‘m’ = 2

∴ Probability of having 53 Sunday = 2/7

UGEE REAP Mock Test- 5 - Question 25

In a simultaneous throw of two dice, find P (A or B) if A denotes the event 'a total of 11 and B denotes the event’ ‘an odd number on each die'.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 25
A: Getting total of 11 B: Getting odd number one each die

A = [(6, 5), (5, 6)]

B = [(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)]

P(A) = 2/36, P(B) = 9/36 , P(A∩B) = 0

∴ Required probability

= P(A) + P(B) - P(A∩B)

UGEE REAP Mock Test- 5 - Question 26

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

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter is the brother of P. Z is the brother of P.

Who is the brother-in-law of R?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 26

Y..R - P..Z

Q..X

UGEE REAP Mock Test- 5 - Question 27

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

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter is the brother of P. Z is the brother of P.

How is Q related to X?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 27

Explanation:

• Q is the son of R, so Q is the child of R.

• Since P and R are a married couple, X is the daughter of P and R.

• Since Y is the brother of R, Y is also the brother of X.

• Therefore, Q and X are siblings, making Q the brother of X.

•
UGEE REAP Mock Test- 5 - Question 28

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

P. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.

Maximum how many of these integers can be odd?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 28
All integer should be odd to get odd result.
UGEE REAP Mock Test- 5 - Question 29

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

P. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.

Minimum how many of these integers can be even?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 29
None of the Integer should be even
UGEE REAP Mock Test- 5 - Question 30

Direction: A cuboid is divided into 192 identical cubelets This is done by making minimum no. ot cuts possible. All cuts are parallel to some of the face. But before doing so. The cube is painted with green color on one set of opposite faces. Blue on other set of opposite faces and red on their pair of annosit faces.

What is the maximum number of cubelets possible which one colored with green colored only?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 30
As we want maximize number of cubelets with green in color only cuboid has to painted with green color on set of opposite faces of 6 x 8. Hence no. of green colored only cubelets will (6 - 2) x (8 - 4) = 4 x 6 = 24, from face. There are two such faces hence maximum total no. of only green painted cubelets will be = 24 x 2 = 48

Hence option (a)

UGEE REAP Mock Test- 5 - Question 31

Direction: A cuboid is divided into 192 identical cubelets This is done by making minimum no. ot cuts possible. All cuts are parallel to some of the face. But before doing so. The cube is painted with green color on one set of opposite faces. Blue on other set of opposite faces and red on their pair of annosit faces.

What is the number of cubelets possible which are painted with none of the color?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 31
Number of unpainted cubelets will be (4 -2) x (6 - 2) x (8 - 2) = 2 x 4 x 6 = 48

Hence option (d)

UGEE REAP Mock Test- 5 - Question 32

How many cuboids of dimensions 4 x 5 x 6 are required to form a cube of least size if cuboids have to the placed adjacent, above or below each other?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 32
Least possible dimension of cube is ICM of (4, 5,6) = 60

The number of cuboids required

UGEE REAP Mock Test- 5 - Question 33

A cube has been cut into cuboids of size 2 x 3 x 4. What is least possible integer length of the edge of cube and how many such cuboids are obtained from this cube?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 33
The least possible dimension of cube LCM of 2,3,4 = 12

No, of cuboids that can be obtained

UGEE REAP Mock Test- 5 - Question 34

Direction: Three adjacent faces of one cube is painted in pink, one adjacent pair of faces is painted in black and the remaining faces are painted in violet. The cube is the cut into 216 identical cubelets.

How many of the cubelets have exactly one painted surface of exactly one color?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 34

In this question only the cubelets from middle of faces of cube will be considered = 6 x (6 - 2)2 = 96 cubelets.

UGEE REAP Mock Test- 5 - Question 35

Direction: Three adjacent faces of one cube is painted in pink, one adjacent pair of faces is painted in black and the remaining faces are painted in violet. The cube is the cut into 216 identical cubelets.

How many cubelets do not have pink color on them?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 35

The number of cubelets with no pink color = 216 - (36 from one pink surface + 30 from second + 25 from third)

= 125 cubelets

UGEE REAP Mock Test- 5 - Question 36

Direction: Three adjacent faces of one cube is painted in pink, one adjacent pair of faces is painted in black and the remaining faces are painted in violet. The cube is the cut into 216 identical cubelets.

How many cubelets have black or violet color on them but not pink color on them?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 36

Here cubelets without any face colored has to be removed from previous question number. The number of cubelets with black or violet but not pink

= 125 - (6 - 2)3 = 61

UGEE REAP Mock Test- 5 - Question 37

Vinod walks 20 m towards the North. He then turns left and walks 40 m. He again turns left and walks 20 m. Further, he moves 20 m after turning to the right. How far is he from his original position?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 37
The movements of Vinod are as shown in Fig,

Clearly; Vinod’s distance from his initial position

P ⇒ PX = (PS + SX)

= (OR + SX)

= (40 + 20) m = 60 m.

UGEE REAP Mock Test- 5 - Question 38

From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 38
The movements of Sanjay are as shown in Fig.

(A to B, B to C, C to D and D to E)

Clearly, his final position is E which is to the North of his house at A..

UGEE REAP Mock Test- 5 - Question 39

Direction: The figure given below consists of three interesting circles which represent sets of students who play Tennis, Badminton and Volleyball Each region in the figure is represented by a small letter.

On the basis of the above figure, answer the questions given below.

Which letter represents the set of persons who play all the three games?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 39
The required regions is the one common to all the three circles i.e. c.
UGEE REAP Mock Test- 5 - Question 40

Direction: The figure given below consists of three interesting circles which represent sets of students who play Tennis, Badminton and Volleyball Each region in the figure is represented by a small letter.

On the basis of the above figure, answer the questions given below.

Which letter represents the set of persons who play Tennis and Volleyball but not Badminton?
Detailed Solution for UGEE REAP Mock Test- 5 - Question 40
The required region is the one which is common to circle s P and R but is not a part of circle Q. i.e. b.
UGEE REAP Mock Test- 5 - Question 41

Direction: The figure given below consists of three interesting circles which represent sets of students who play Tennis, Badminton and Volleyball Each region in the figure is represented by a small letter.

On the basis of the above figure, answer the questions given below.

Which letter represents the set of persons who play Tennis but neither Badminton nor Volleyball?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 41
The required region is the one which lies inside circle P but is not common to circle Q or circle R or both i.e. a.
UGEE REAP Mock Test- 5 - Question 42

Direction: The figure given below consists of three interesting circles which represent sets of students who play Tennis, Badminton and Volleyball Each region in the figure is represented by a small letter.

On the basis of the above figure, answer the questions given below.

Which letter represents the set of persons who play Tennis and Badminton but not Volleyball?
Detailed Solution for UGEE REAP Mock Test- 5 - Question 42
The required region is the one which is common to circles P and Q but lies outside circle R i.e. d.
UGEE REAP Mock Test- 5 - Question 43

Direction: Five courses - A, B, C, D and E each of one month duration are to be taught from January to May one after the other though not necessarily in the same order by lectures P, Q, R. S and T. P teaches course 'B' but not in the month of April or May. Q teaches course ‘A’ in the month of March R teaches in the month of January but does not teach course ‘C’ or D'.

Which course is taught by S?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 43
We can be solved these questions with the help of tabular chart.

We will start reading each condition and mark ‘✓’ sign or ‘×’ sign according

• P teaches course B but not in the month of April or May

• Q teaches course A in the month of March

• R teaches in the month of January but does not teach course C or D

Now, we can easily answer given questions with the help of above table.

Note: After drawing first table further modifications can be done according to conditions given, There is no need to draw further table. Further table drawn is just to explain the steps in elaborate manner.

Final table can be referred as.

UGEE REAP Mock Test- 5 - Question 44

Direction: Five courses - A, B, C, D and E each of one month duration are to be taught from January to May one after the other though not necessarily in the same order by lectures P, Q, R. S and T. P teaches course 'B' but not in the month of April or May. Q teaches course ‘A’ in the month of March R teaches in the month of January but does not teach course ‘C’ or D'.

Which lecture's course immediately follows after course B?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 44
We can be solved these questions with the help of tabular chart.

We will start reading each condition and mark ‘✓’ sign or ‘×’ sign according

• P teaches course B but not in the month of April or May

• Q teaches course A in the month of March

• R teaches in the month of January but does not teach course C or D

Now, we can easily answer given questions with the help of above table.

Note: After drawing first table further modifications can be done according to conditions given, There is no need to draw further table. Further table drawn is just to explain the steps in elaborate manner.

Final table can be referred as.

UGEE REAP Mock Test- 5 - Question 45

Direction: Five courses - A, B, C, D and E each of one month duration are to be taught from January to May one after the other though not necessarily in the same order by lectures P, Q, R. S and T. P teaches course 'B' but not in the month of April or May. Q teaches course ‘A’ in the month of March R teaches in the month of January but does not teach course ‘C’ or D'.

Which course is taught in the month of January?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 45
We can be solved these questions with the help of tabular chart.

We will start reading each condition and mark ‘✓’ sign or ‘×’ sign according

• P teaches course B but not in the month of April or May

• Q teaches course A in the month of March

• R teaches in the month of January but does not teach course C or D

Now, we can easily answer given questions with the help of above table.

Note: After drawing first table further modifications can be done according to conditions given, There is no need to draw further table. Further table drawn is just to explain the steps in elaborate manner.

UGEE REAP Mock Test- 5 - Question 46

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.

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

I. The ages of P and N are 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- 5 - Question 46
Age of P can not 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 ot 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.
UGEE REAP Mock Test- 5 - Question 47

Direction: In these questions, questions are given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statements is not necessarily required to answer the question and therefore can be dispensed with. Indicate vo'iransw accordingly.

How many students passed in first class?

I. 85% of the students who appeared in examination have passed either in first class or in second class or in pass class.

II. 750 students have passed in second class.

III. The number of students who passed in pass class is 28% of those passed in second class.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 47
Using Statements II and III. we can find the number of students in second class and pass class only, as there is no link given between the firs: class and the other classes, we cannot find the number of students in first class.
UGEE REAP Mock Test- 5 - Question 48

Direction: In this question, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide which information in the statement(s) is not necessarily required to answer the question and therefore can't be dispensed with. Indicate your answer accordingly.

Q. What is Suchitra's present age?

Statements:

I. Suchitra's present age is double the age of her son.

II. Ratio between present ages of Suchitra and her mother is 2:3 respectively.

III. Four years hence the ratio between Suchitra's age and her son's age will be 24:13.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 48

According to the statement (I),
Let present age of Suchitra = X and her son = Y
then,
X = 2 × Y
X/Y = 2/1 .....(a)
It is not sufficient data for further calculation so, we need to consider statement (III).
According to the statement (III),
Four year hence ratio of Suchitra and her son's age

Using equation (a)  Put X = 2Y in above expression we have,

This is Suchitra's son present age so, Suchitra present age is,

So,only statement (I) and (III) is sufficient to solve the problem.

UGEE REAP Mock Test- 5 - Question 49

Direction: In these questions, questions are given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statements is not necessarily required to answer the question and therefore can be dispensed with. Indicate vo'iransw accordingly.

What is the amount invested in Scheme B?

I. The amounts invested in Schemes A and B are in the ratio of 2 : 3.

II. The amount invested in Scheme A is 40% of the total amount invested.

III. The amount invested in Scheme A is ₹45000.

Detailed Solution for UGEE REAP Mock Test- 5 - Question 49

Using Statement

Using Statement II, A is 40% of total. So, B is 60% of total amount invested.

A/B = 40/60 = 2/3

Using Statement III, A = ₹45000

Putting the value of Statement III in any of the Statements I or II we can find the amount invested in scheme B.

Thus, either I or II can be dispensed with.Answer: E: Either I or II

Explanation:

To find the amount invested in Scheme B, we need to consider the information in both statements I and II.

Statement I tells us that the amounts invested in Schemes A and B are in the ratio of 2:3. This means that if the amount invested in Scheme A is known, we can calculate the amount invested in Scheme B by multiplying the amount invested in Scheme A by 3/2.

Statement II tells us that the amount invested in Scheme A is 40% of the total amount invested. If the total amount invested is known, we can calculate the amount invested in Scheme A by multiplying the total amount invested by 40%. Once we know the amount invested in Scheme A, we can use statement I to calculate the amount invested in Scheme B.

Statement III provides additional information that the amount invested in Scheme A is ₹45000. This information is not necessary to answer the question because we can calculate the amount invested in Scheme B using either statement I or statement II.

Therefore, the information in statement III is not necessarily required and can be dispensed with. Hence, the answer is E: Either I or II.

UGEE REAP Mock Test- 5 - Question 50

'a' and 'b' are two number whose AM is 25 and GM is 7. Which of the following may be value of ‘a'?

Detailed Solution for UGEE REAP Mock Test- 5 - Question 50

(a+b)/2 = 25

a + b = 50

ab = 49 here a = 1 and b = 49 or vice versa

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