UGEE REAP Mock Test- 1 - JEE MCQ

# UGEE REAP Mock Test- 1 - JEE MCQ

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## 48 Questions MCQ Test UGEE Mock Test Series 2024 - UGEE REAP Mock Test- 1

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

### Two cars started simultaneously towards each other and met each other 3 h 20 min later. How much time will it take the slower car to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first?

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

Let distance between the two places = d km
Let total time taken by faster horse = t hr
⇒ Total time taken by slower horse = (t + 5) hr,

Therefore,
speed of the faster horse = d/t km/hr
speed of the slower horse = d/(t + 5) km/hr
The two horses meet each other in 3 hour 20 min i.e. in 3(1/3) hr = 10/3 hr
In this time, total distance travelled by both the horses together is d.

d/(t+5) * 10/3 + d/t * 10/3 = d
⇒ 10/(3(t+5)) + 10/3t = 1
⇒ 10t + 10(t+5) = 3t(t+5)
⇒ 20t + 50 = 3t+ 15t
⇒ 3t− 5t − 50 = 0
⇒ 3t+ 10t − 15t − 50 = 0
⇒ t(3t + 10) − 5(3t + 10) = 0
⇒ (3t + 10)(t − 5) = 0
t = 5 (ignoring -ve value)

Thus, Total time taken by slower horse = 5 + 5 = 10 hr

So Option B is correct

UGEE REAP Mock Test- 1 - Question 2

### Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 2

To solve this problem, we can first calculate the time it takes each person to run the full distance between points A and B. Charlie runs at a speed of 5 km/hr, so it takes him 5 km / (5 km/hr) = 1 hour to run the distance between A and B. Alan runs at a speed of 10 km/hr, so it takes him 5 km / (10 km/hr) = 0.5 hours to run the distance between A and B.

Then, we can calculate the time at which each person reaches point B. Charlie starts at 9 a.m. and it takes him 1 hour to reach B, so he reaches B at 9 a.m. + 1 hour = 10 a.m. Alan starts at 9:45 a.m. and it takes him 0.5 hours to reach B, so he reaches B at 9:45 a.m. + 0.5 hours = 10:15 a.m.

Now Charlie is returning to point A and Alan is going towards B, so their relative speed is 10km/h. So after 1/4 * 10 minutes, the distance between them is 2.5km.
Therefore, Charlie and Alan will first meet each other at a time of 10:10 a.m.  The answer is 3: 10:10 a.m.

UGEE REAP Mock Test- 1 - Question 3

### Two rabbits start simultaneously from two rabbit holes towards each other. The first rabbit covers 8% of the distance between the two rabbit holes in 3 hours, The second rabbit covered 7 / 120 of the distance in 2 hours 30 minutes. Find the speed (feet / h) of the second rabbit if the first rabbit travelled 800 feet to the meeting points.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 3

Since the second rabbit covers 7/120 of the distance in 2 hours 30 minutes
⇒ it covers 8.4 / 120 = 7% of the distance in 3 hours.

Thus, in 3 hours both rabbits together cover 15% of the distance which means 5% per hour so they will meet in 20 hours.

The ratio of speeds = 8 : 7.
⇒ the second rabbit would cover 700 ft to the meeting point in 20 hours and its speed would be 35 feet/hr.

So Option is correct

UGEE REAP Mock Test- 1 - Question 4

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 4

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x)

⇒ 28x - 22x = 350800 - (13900 * 22)
⇒ 6x = 45000
⇒ x = 7500
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400

UGEE REAP Mock Test- 1 - Question 5

In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the nonmanufacturing employees is

Detailed Solution for UGEE REAP Mock Test- 1 - Question 5

Let the number of total employees in the company be 100x, and the total salary of all the employees be 100y.

It is given that 20% of the employees work in the manufacturing department, and the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company.

Hence, the total number of employees in the manufacturing department is 20x, and the total salary received by them is (100y/6)

Average salary in the manufacturing department = (100y/6*20x) = 5y/6x

Similarly, the total number of employees in the nonmanufacturing department is 80x, and the total salary received by them is (500y/6)

Hence, the average salary in the nonmanufacturing department = (500y/6*80x) = 25y/24x

Hence, the ratio is:- (5y/6x): (25y/24x)

=> 120: 150 = 4:5

The correct option is D

UGEE REAP Mock Test- 1 - Question 6

Directions to solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question:
2, 3, 3, 5, 10, 13, ?, 43, 172, 177

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

1st term = 2
2nd term = 2 + 1 = 3
3rd term = 3 * 1 = 3
4th term = 3 + 2 = 5
5th term = 5 * 2 = 10
6th term = 10 + 3 = 13...

⇒ For every term at even position, previous term is added with half of the position
⇒ For every term at odd position, previous term is multipiled with the same numeber that was added in previous term

So, missing term = 13 x 3 = 39.

UGEE REAP Mock Test- 1 - Question 7

The average weight of 10 men is decreased by 2 kg when one of them weighing 140 kg is replaced by another person. Find the weight of the new person.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 7

Shortcut:
The decrease in weight would be 20kgs (10people’s average weight drops by 2 kgs). Hence, the new person’s weight = 140 - 20 = 120.

Detailed Solution:

Let weight of 9 men =x.
Weight of new men =y

According to the question:

((x+140)/10) ​− 2 = (x+y​)/10
y = 120

UGEE REAP Mock Test- 1 - Question 8

If

A + B means A is the mother of B;

A − B means A is the brother B;

A % B means A is the father of B and

A × B means A is the sister of B,

Which of the following shows that P is the maternal uncle of Q?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 8

P - M → P is the brother of M
M + N → M is the mother of N
N × Q → N is the sister of Q
Therefore, P is the maternal uncle of Q.

option D.

UGEE REAP Mock Test- 1 - Question 9

Directions: Study the following information carefully to answer the given Questions:

P^Q-P is the child of Q
P!Q-P is the parent of Q
P*Q - P is elder to Q
P#Q-P is younger to Q
P@Q-P is brother of Q
P&Q - P is wife of Q
P+Q-P is sister-in-law of Q

Q. If P*Q^R@S#T*P, the age of Q is 22 years and age of T is 33 years, so what can be the age of P?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 9

P*Q^R@S#T*P: P is elder than Q, Q is child of R, R is brother of S, S is younger than T, T is elder than P.
The age of Q is 22 years and age of T is 33 years.

T(33) > P > Q
Hence, the age of P is 29 years.

UGEE REAP Mock Test- 1 - Question 10

Directions: Study the following information carefully to answer the given Questions:

P^Q - P is the child of Q
P!Q - P is the parent of Q
P*Q - P is elder to Q
P#Q - P is younger to Q
P@Q - P is brother of Q
P&Q - P is wife of Q
P+Q - P is sister-in-law of Q

Detailed Solution for UGEE REAP Mock Test- 1 - Question 10

UGEE REAP Mock Test- 1 - Question 11

Look at this series: 7, 10, 8, 11, 9, 12,...so on. What number should come next?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 11

This is a simple alternating addition and subtraction series.

In the first pattern, 3 is added. In the second, 2 is subtracted.

► 7 + 3 = 10,
► 10 - 2 = 8,
► 8 + 3 = 11,
► 11 - 2 = 9,
► 9 + 3 = 12,
► 12 - 2 = 10.

UGEE REAP Mock Test- 1 - Question 12

Choose the word which is different from the rest.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 12
• The word that is different from the rest is "Trousers" (Option D).

Explanation: All the other options - Coat, Shirt, Blouse, and Sweater - are upper-body clothing items, while Trousers are a lower-body clothing item. Hence, Trousers are the odd one out.

UGEE REAP Mock Test- 1 - Question 13

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to R be satisfied, then which of the following statements is true?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 13

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

On the basis of the diagram that we drew, we find that to accommodate U we have to create a new slot between P and Q.

Hence, choice (c) is the correct answer. Choice (c)

UGEE REAP Mock Test- 1 - Question 14

The average age of a group of men is increased by 6 years when a person aged 26 years is replaced by a new person of aged 56 years. How many men are there in the group?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 14

When a person aged 26 years, is replaced by a person aged 56 years, the total age of the group goes up by 30 years.

Since this leads to an increase in the average by 6 years, it means that there are 30 / 6 = 5 persons in the group.

UGEE REAP Mock Test- 1 - Question 15

Instructions: On the basis of the information given below, answer the questions that follow.

Maruti Suzuki has tie-ups with five dealers in Allahabad to sell their cars. The first pie chart given below gives the dealer-wise break-up of the number of cars sold by Maruti Suzuki in Allahabad in 2015. The second pie chart shows the model-wise breakup of the total cars sold by Maruti Suzuki in 2015 in Allahabad.

Q. If the dealers R and S sold only Zen, Baleno and swift then at least what percentage of the Swifts sold, were sold by these two dealers alone? (Enter only the integer value rounded off to nearest integer. Don’t put % sign)

Detailed Solution for UGEE REAP Mock Test- 1 - Question 15

If the number of swifts sold by R and S is to be minimum, R and S should sell a maximum number of Baleno and Zen.

The share of R and S in total sales is 40%.

So even if they sell all Baleno’s and Zen that will account to only 24%, so they together will sell 16% Swifts.

The total share of swifts is 27% so they sold 16%.

Hence percentage share would be 16/27 × 100

= 59.25% which on rounding off becomes 59%. So correct answer is 59.

UGEE REAP Mock Test- 1 - Question 16

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 16

Let the two consecutive positive integers be x and x + 1.

⇒ x2 + (x + 1)2 - x(x + 1) = 91
⇒ x2 + x - 90 = 0
⇒ (x + 10)(x - 9) = 0
⇒ x = -10 or 9.
x = 9 [∵ x is positive]

Hence the two consecutive positive integers are 9 and 10.

UGEE REAP Mock Test- 1 - Question 17

The inequality of p2 + 5 < 5p + 14 can be satisfied if:

Detailed Solution for UGEE REAP Mock Test- 1 - Question 17

We have, p+ 5 < 5p + 14

=> p2 – 5p – 9 < 0

=> p<6.4 or p>-1.4
Hence, p ≤ 6, p > −1 will satisfy the inequalities

UGEE REAP Mock Test- 1 - Question 18

A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h2 not take, given that p and b are positive integers?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 18

We know that,
h2 = p2 + b2 Given, p and b are positive integer, so h2 will be sum of two perfect squares.

We see
a) 72 + 52 = 74
b) 62 + 42 = 52
c) 32 + 22 = 13
d) Can’t be expressed as a sum of two perfect squares

Therefore the answer is Option D.

UGEE REAP Mock Test- 1 - Question 19

One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)

Detailed Solution for UGEE REAP Mock Test- 1 - Question 19
• Total number of cards, n(S) = 52
• Total number of face cards, n(E) = 12 (4 Jacks, 4 Queens, 4 Kings)

UGEE REAP Mock Test- 1 - Question 20

The square root of 16641 is:

Detailed Solution for UGEE REAP Mock Test- 1 - Question 20

Step 1:

• We now need to obtain the digital root of the number. Here's how you do it:
• Split the number up and add each digit together:
1 + 6 + 6 + 4 + 1 = 18
• If the answer is more than one digit, you would add each digit of the answer together again:
1 + 8 = 9
• What is the digital root of number 16,641?

Step 2:

• So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
• Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!

Factoring

• OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.
• Here are all of the factors of 16,641:
(1 x 16,641) (3 x 5,547) (9 x 1,849) (43 x 387) (129 x 129)

UGEE REAP Mock Test- 1 - Question 21

Directions: For each of the below questions, identify which option(s) logically follow based on the given statement.
Whenever my mother scolds me, I either hide behind my father or complain to my grandma.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 21

If whenever my mother scolds me, I either hide behind my father or complain to my grandma. Then, if I did not complain to my grandma & did not hide behind my father, my mother must not have scolded me. Correct option is (a)

UGEE REAP Mock Test- 1 - Question 22

Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

REASON : SFBTPO :: THINK : ?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 22

UGEE REAP Mock Test- 1 - Question 23

At what angle the hands of a clock are inclined at 15 minutes past 5?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 23

15 past 5 means quarter past 5 = (5:15)
⇒ (11*15 - 60*5)/2 = 67.5

UGEE REAP Mock Test- 1 - Question 24

Priya can do 1/2 of the work in 8 days, while Preeti can do 1/3 of the work in 6 days. How long will it take for both of them to finish the work?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 24

Priya’s days work = (½)/8 = 1/16

Preeti’s days work

⇒ (⅓)/6 = 1/18 days

Together they can finish in.

UGEE REAP Mock Test- 1 - Question 25

find the difference between the simple and the compound interest at 5% per annum for 2 years on a principal of Rs. 2000.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 25

UGEE REAP Mock Test- 1 - Question 26

What is the simple interest for five years on a sum of Rs. 700 if the rate of interest for the first 3 years is 8% per annum and for another 2 years is 7% per annum?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 26

UGEE REAP Mock Test- 1 - Question 27

Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph, respectively. In how much time will they cross each other, if they are running in the same direction?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 27
Relative speed = (45-40)kmph = 5 kmph.

= (5 x (5/18))m/sec = (25/18) m/sec

Total distance covered = Sum of the length of trains = 350 m

∴ Time taken = (350 x (18/25))sec = 252 sec.

UGEE REAP Mock Test- 1 - Question 28

It is postulated that huge deposits of NaCI (rock salt) and CaCO3 (chalk and marble) are sites of erstwhile oceans, where the salts had been concentrated through weathering by rain and wind and leaching by rivers. Select the correct explanatory statement in this context.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 28
The solubility of CaCO3 in water is pH dependent and is enhanced by acidic atmospheric gases. Hence, CaCO3 may be leached into water during weathering.
UGEE REAP Mock Test- 1 - Question 29

If log 2 = 0.30103 and log 3 = 0.4771, find the number of digits in (648)5.

Detailed Solution for UGEE REAP Mock Test- 1 - Question 29

You must know and Remember that No. of Significant Digit before decimal = [ (Characteristic)base 10 + 1]. To find (Characteristic)base10,

Log (648)5 = 5(log 648) = 5(log 23.34) = 5(3.log2 + 4 log 3) = 5(3(0.301) + 4(0.4771))

(Characteristic)base10,= 14

So, Answer is 14 + 1 = 15

UGEE REAP Mock Test- 1 - Question 30

A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h and the rest at 5km/h. The total distance is

Detailed Solution for UGEE REAP Mock Test- 1 - Question 30
You must Know Km/hr (5/18) = m/sec

Say Total Distance be d

(2d/3)/4 + (d/3)/5 = 1+24/60

So, get d = 6 Km

UGEE REAP Mock Test- 1 - Question 31

Two chairs (A and B) are in an empty room overnight. Chair A is made of steel, while chair B is made of wood. In the night and in the morning, the room’s temperature is 290 K. In the morning, a person chooses between Chair A and Chair B as the seat by feeling (touching) the chair and choosing one which feels warmer. The person chooses__ (BLANK-1) _ as it feels warmer because _ (BLANK-2)___has__ (BLANK-3)______ (BLANK-4)____ than ___(BLANK-5)___.

Find the correct Answer for Blank 1

Detailed Solution for UGEE REAP Mock Test- 1 - Question 31

Chair B
Explanation: The person would choose Chair B (the wooden chair) as it feels warmer because wood is a better insulator than steel. This means that wood has a lower thermal conductivity than steel, allowing it to retain heat better and feel warmer to the touch.

UGEE REAP Mock Test- 1 - Question 32

If log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is:

Detailed Solution for UGEE REAP Mock Test- 1 - Question 32

log 4.5 = log(9/2) = log9 - log2

= log(32) - log 2 = 2log3 - log2

= (2 x 0.4771) - (0.3010) = 0.6532.

UGEE REAP Mock Test- 1 - Question 33

The value of  is:

Detailed Solution for UGEE REAP Mock Test- 1 - Question 33

Given Expression

UGEE REAP Mock Test- 1 - Question 34

If log x + log y = log(x+y), then:

Detailed Solution for UGEE REAP Mock Test- 1 - Question 34

logx+logy = log(x+y)

⇒ log(x+y) = log(xy)

∴ x + y = xy or x = y (x - 1)

UGEE REAP Mock Test- 1 - Question 35

If a be the first term of a G.P., L the nth term and P the product of first n terms then P =

Detailed Solution for UGEE REAP Mock Test- 1 - Question 35

If r is the common ratio of G.P, then

L = a rn-1 …(i)

The first n terms of the G.P. are

a, ar, ar2, ar3........arn-1

P = a x ar x ar2 x ... x arn-1

= an x r 1+2+3…+(n-1)

UGEE REAP Mock Test- 1 - Question 36

If 7 times the 7th term of an A.P. is equal to 11 times its, 11th term, then the 18th term of the A.P. is

Detailed Solution for UGEE REAP Mock Test- 1 - Question 36
Let a be the first term and d, the common difference of an AP.

∴ a7 = a + 6d

A11 = a+10d ∴ 7a7 = 11a11

7 (a + 6d) = 11 (a + 10d)

⇒ 7a + 42d = 11a + 110d

⇒ 4a + 68d = 0

⇒ a + I7d = 0

⇒a18 = 0

UGEE REAP Mock Test- 1 - Question 37

How many numbers of 3 digits can be formed with the digits 1, 2, 3, 4, 5 (repetition of digits not allowed)?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 37

A three digit number is to be formed from given 5 digits 1,2,3,4,5.
Now, there are 5 ways to fill ones place.
Since, repetition is not allowed , so tens place can be filled by remaining 4 digits.
So, tens place can be filled in 4 ways.
Similarly, to fill hundreds place, we have 3 digits remaining.
So,hundreds can be filled by 3 ways.
So, required number of ways in which three digit numbers can be formed from the given digits is 5×4×3=60

UGEE REAP Mock Test- 1 - Question 38

Flow many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed)?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 38

Number between 2000 and 3000 are four digit numbers in which 2 is the first digit So, 2 must be taken in box d1

Now rest box can be filled in 7P3 ways.

UGEE REAP Mock Test- 1 - Question 39

In how many ways can a person send Invitation cards to 6 of his friends if he has four servants to distribute the cards?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 39
Person has six invitation cards 1 card can be given to any of 4 servants so six cards can be distributed in 4 x 4 x 4 x 4 x 4 x 4 = 46 ways
UGEE REAP Mock Test- 1 - Question 40

In how many ways can 7 Indians, 5 Pakistanis and 6 Dutch be seated in a row so that all persons of the same nationality sit together?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 40

We have

→ 7 Indians

→ 5 Pakistanis and

→ 6 Dutch

7 Indians can sit in 7! ways

5 Pakistanis can sit in 5! ways

6 Dutch can sit in 6! ways

Also they can sit together in 3! different ways 7! x 5! x 6! x 3!

UGEE REAP Mock Test- 1 - Question 41

The probability that a student is not a swimmer Is 1/5. Then the probability that out of the five students, exactly four are swimmers, is

UGEE REAP Mock Test- 1 - Question 42

If the probability of rain on any given day in Pune city is 50%. Then what is the possibility that it rains on exactly 3 days in a 5-day period?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 42

Probability that it rains on any day = ½ and it doesn't rain = 1 - (½) = ½

Prob. that it rains on exactly 3 days in a 5-day period.

= 5C3 x (½)3 x (½)2

5C3 for choosing which three days among given five days. (½)3 for that it rains on three days and (½)2 for it doesn’t rain on the remaining 2 days.

UGEE REAP Mock Test- 1 - Question 43

A number is chosen at random among the first 120 natural numbers. The probability of the number chosen being a multiple of 5 or 15 is

Detailed Solution for UGEE REAP Mock Test- 1 - Question 43

Total distinct multiples of 5 and 15 in first 120 natural number = 24
total numbers = 120

Probability = 24/120 = 1/5

UGEE REAP Mock Test- 1 - Question 44

A woman introduces a man as the son of the brother of her mother. How is a man related to a woman?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 44

Hence man is a woman's Cousin.

UGEE REAP Mock Test- 1 - Question 45

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

In a certain code, ‘II be pee’ means' roses are blue’: 'silk hee' means ‘red flowers' and ‘pee mil hee’ means 'flowers are vegetables’.

Q. How is ‘red’ written in that code?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 45
In the second and third statements, the common code word is 'hee' and the common word is 'flowers’. So, ‘hee’ stands for 'flowers'. Thus, in the second statement, 'silk- stands for 'red'.
UGEE REAP Mock Test- 1 - Question 46

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

In a certain code, ‘II be pee’ means' roses are blue’: 'silk hee' means ‘red flowers' and ‘pee mil hee’ means 'flowers are vegetables’.

Q. How is ‘roses’ written in that code?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 46

Since from the given information, we can only find the code for ‘are' in the first statement, it cannot be determined which of the remaining two codes for ‘roses’.Explanation:

- The code 'II be pee' means 'roses are blue'.
- The code 'silk hee' means 'red flowers'.
- The code 'pee mil hee' means 'flowers are vegetables'.
- From the given codes, we can see that 'pee' is common in both the codes that represent 'roses' and 'flowers'.
- However, the code for 'roses' and 'flowers' have different endings ('be' and 'mil' respectively).
- So, it is not possible to determine the exact code for 'roses' based on the given information.
- Therefore, the answer is option D: cannot be determined.

UGEE REAP Mock Test- 1 - Question 47

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

In a certain code, ‘II be pee’ means' roses are blue’: 'silk hee' means ‘red flowers' and ‘pee mil hee’ means 'flowers are vegetables’.

Q. How is ‘vegetables are red flowers’ written in code?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 47

Clearly, the required code will consist of the same codes as in the third statements with the code for ‘red’ i.e. silk added to it.

UGEE REAP Mock Test- 1 - Question 48

Direction : A cube is divided into 343 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that the cube is colored with green color on one set of adjacent faces, red on the second and blue on the third set.

Q. How many cubelets are there which are colored with exactly one color?

Detailed Solution for UGEE REAP Mock Test- 1 - Question 48

From each face 5 x 5 = 25 cubelets are painted is one color. Such total = 25 x 6 = 150 cubelets. Further because each face Is having one similar color adjacent face and 3 other different coloured faces hence 5 x 3 = 15 extra cubelets will come from three edges, where adjacent faces of similar color are meeting hence total = 150 + 15 = 165 cube will be then colored in exactly one color

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