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UGEE REAP Mock Test- 4 - JEE MCQ


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30 Questions MCQ Test - UGEE REAP Mock Test- 4

UGEE REAP Mock Test- 4 for JEE 2025 is part of JEE preparation. The UGEE REAP Mock Test- 4 questions and answers have been prepared according to the JEE exam syllabus.The UGEE REAP Mock Test- 4 MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for UGEE REAP Mock Test- 4 below.
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UGEE REAP Mock Test- 4 - Question 1

A ball of diameter 15 cm is floating so that the top of the ball is 5 cm above the smooth surface (water) of the pond. What is the circumference in centimeters of the circle formed by the contact of the water surface with the ball?

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

Radius of the circle cm 
Hence, circumference = 10√2π cm.

UGEE REAP Mock Test- 4 - Question 2

Who are the two married couples in the family?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 2

The two married couples are A-D and B-C, as they form distinct pairs within the family structure.

Each pair represents a marriage between the respective individuals. This is determined based on their relationships as indicated in the provided options.

UGEE REAP Mock Test- 4 - Question 3

There are 16 teachers who can teach Thermodynamics (TD), 11 who can teach Electrical Sciences (ES), and 5 who can teach both TD and Engineering Mechanics (EM). There are a total of 40 teachers, 6 cannot teach any of the three subjects, that is EM, ES or TD. Six can teach only ES. Four teach all three subjects, that is EM, ES and TD. Four can teach ES and TD.

How many can teach both ES and EM but not TD?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 3

To find the number of teachers who can teach both ES (Electrical Sciences) and EM (Engineering Mechanics) but not TD (Thermodynamics):
Given:

  • Total teachers: 40
  • Teachers who cannot teach any subject: 6
  • Teachers who can teach only ES: 6
  • Teachers who can teach all three subjects: 4
  • Teachers who can teach both TD and EM: 5
  • Teachers who can teach both TD and ES: 4
  • Teachers who can teach TD: 16
  • Teachers who can teach ES: 11

Steps:
1. Calculate the total number of teachers who can teach at least one subject:
40 - 6 = 34
2. Calculate the number of teachers who can teach only TD:
16 - (4 + 5 - 4) = 11
3. Calculate the number of teachers who can teach only ES:
6
4. Calculate the number of teachers who can teach only EM:
5 - 4 = 1
5. Calculate the number of teachers who can teach both ES and EM but not TD:

Thus the number of teachers who can teach both ES and EM but not TD is: 1

UGEE REAP Mock Test- 4 - Question 4

How is "EXAM" written in that code?

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

The coding pattern involves two steps:

  1. Each letter in the word is shifted forward in the alphabet by its position number (1st letter by 1, 2nd by 2, etc.).
  2. The resulting word is then reversed.

Let’s apply this to the given example, "HELLO":

  • H (1st position): H + 1 = I
  • E (2nd position): E + 2 = G
  • L (3rd position): L + 3 = O
  • L (4th position): L + 4 = P
  • O (5th position): O + 5 = T
    So, "HELLO" becomes "IGOPT".
    Reversing "IGOPT" gives "TPOGI", which matches the example provided.

Now, apply the same pattern to "EXAM":

  • E (1st position): E + 1 = F
  • X (2nd position): X + 2 = Z (X is 24th, 24 + 2 = 26, which is Z)
  • A (3rd position): A + 3 = D
  • M (4th position): M + 4 = Q
    So, "EXAM" becomes "FZDQ".
    Reversing "FZDQ" gives "QDZF".

Thus, the code for "EXAM" is "QDZF".

UGEE REAP Mock Test- 4 - Question 5

2 matched with ____ ?

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

To solve this problem, analyze the Waama sentences for recurring patterns and match them to the English translations based on subjects, verbs, objects, tense/aspect markers, negation, questions, and modifiers. Below are the key patterns:

  • Subjects: Kofi, Ama, Mi (I), Wo (you), A (he/she)

  • Verbs: sɛ (eat), tu (cook), pɛ (cut)

  • Objects: mani (yam), kuku (chicken), da (house)

  • Tense/Aspect Markers: ka- (past), ki- (future), na (present progressive or will)

  • Negation: ma (not)

  • Question Marker: na? (indicates a question)

  • Modifiers: ba (big), tɔ (today), wɛ (yesterday)

  • Word Order: Subject-(Marker)-Verb-Object-(Modifier)-(Question Marker)

  • Ama ka-sɛ kuku wɛ. → M. Ama ate the chicken yesterday.

    • "ka-sɛ" (ate), "kuku" (chicken), "wɛ" (yesterday).

UGEE REAP Mock Test- 4 - Question 6

3 matched with ___?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 6
  1. Mi na tu da. → K. Mi will dig the house.

    • "na tu" (will cook/dig), "da" (house); "dig" fits contextually.

UGEE REAP Mock Test- 4 - Question 7

7 matched with _____?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 7
  • Ama ka-tu kuku. → F. Ama cooked the chicken.

    • "ka-tu" (cooked), "kuku" (chicken).

UGEE REAP Mock Test- 4 - Question 8

10 matched with _____?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 8
  • Step 1: Analyze the Sentence Components

  • A: This appears to be a subject. In the Waama sentences, "Kofi," "Ama," "Mi," and "Wo" are clearly subjects (likely names or pronouns), and "A" appears in sentences 5, 10, and 11. In English translations, "He" appears as a subject in B ("He cuts the big chicken") and L ("He does not eat the yam today yesterday"). Since "A" is distinct from named individuals, it’s reasonable to hypothesize that "A" corresponds to "He" as a pronoun.
  • : This word appears in multiple sentences (4, 6, 10, 13) and likely represents a verb. Comparing contexts:
    • Sentence 6: "Kofi pɛ da tɔ na?" suggests a question involving "Kofi" and an action on "da," matching E ("Does Kofi cut the house today?"), implying "pɛ" could mean "cut."
    • Sentence 13: "Mi ma pɛ kuku tɔ" includes "ma" (possible negation) and "tɔ" (possible "today"), aligning with D ("I do not cut the yam today"), but "kuku" doesn’t match "yam," so we refine later.
    • For now, "pɛ" as "cut" seems plausible.
  • kuku: This appears in sentences 2, 7, 10, and 13, likely a noun. In sentence 2, "Ama ka-sɛ kuku wɛ" could match F ("Ama cooked the chicken"), suggesting "kuku" means "chicken." This fits contexts where "chicken" appears (B, F, M, O).
  • ba: Appears in sentences 8, 10, 14, and 15. In sentence 8, "Mi sɛ mani ba na?" could be I ("Does Mi eat the big yam?"), suggesting "ba" means "big." This adjective fits contexts where "big" modifies a noun (B, G, I, N).
    •  

      Step 5: Conclusion

      Sentence 10, "A pɛ kuku ba," translates to "He cuts the big chicken," corresponding to option B. The analysis of "A" as "He," "pɛ" as "cuts," "kuku" as "chicken," and "ba" as "big" is consistent with patterns in other sentences.

      Answer: 10 matched with B.

      Step 4: Check Alternatives for Sentence 10

      Could "A pɛ kuku ba" match another option?

    • A ("Does Ama cook the yam?"): Requires "Ama" (not "A") and "yam" (not "kuku"). No match.
    • D ("I do not cut the yam today"): Requires negation ("ma," absent here), "yam" (not "kuku"), and "today" ("tɔ," absent). No match.
    • G ("You cut the big house yesterday"): Requires "Wo" (not "A"), "house" (not "kuku"), "yesterday" (not implied). No match.
    • Only B fits: "He" (A), "cuts" (pɛ), "big" (ba), "chicken" (kuku).
    •  

      • Sentence 8: "Mi sɛ mani ba na?"
        • "Mi" = subject (possibly "I," but contextually a name).
        • "sɛ" = "eat" (verb, from sentence 1: "Kofi sɛ mani tɔ" matching H: "Kofi eats the yam today").
        • "mani" = "yam" (noun, from H).
        • "ba" = "big."
        • "na" = question marker.
        • Translation: "Does Mi eat the big yam?" Matches I.
        • Confirms "ba" = "big."

      Step 3: Verify Consistency

      Let’s test our hypotheses against other sentences to ensure "pɛ" = "cut," "kuku" = "chicken," and "ba" = "big" hold, and that sentence 10 aligns uniquely with B.

    • Sentence 6: "Kofi pɛ da tɔ na?"
      • "Kofi" = subject.
      • "pɛ" = "cuts" (verb).
      • "da" = "house" (noun, inferred from sentence 3: "Mi na tu da" matching K: "Mi will dig the house").
      • "tɔ" = "today" (time marker, common in sentences with present tense, e.g., H).
      • "na" = question marker (ends questions like E, I).
      • Translation: "Does Kofi cut the house today?" Matches E.
      • Confirms "pɛ" = "cut."
    • Sentence 2: "Ama ka-sɛ kuku wɛ"
      • "Ama" = subject.
      • "ka-sɛ" = "cooked" (verb with past tense prefix "ka-," inferred from F).
      • "kuku" = "chicken."
      • "wɛ" = declarative marker (common sentence ending).
      • Translation: "Ama cooked the chicken." Matches F.
      • Confirms "kuku" = "chicken."
    •  

      Step 2: Hypothesize the Meaning of Sentence 10

    • "A pɛ kuku ba":
      • A = He (pronoun, third person).
      • pɛ = cuts (verb, based on sentence 6’s alignment with "cut").
      • kuku = chicken (noun, based on sentence 2’s alignment with "chicken").
      • ba = big (adjective, based on sentence 8’s alignment with "big").
    • Tentative translation: "He cuts the big chicken."
    • Matching option: B ("He cuts the big chicken").
UGEE REAP Mock Test- 4 - Question 9

A natural number x is chosen at random from the first one hundred natural numbers. What is the probability that

Detailed Solution for UGEE REAP Mock Test- 4 - Question 9

To solve the inequality x + 100/x  > 50 for natural numbers x from 1 to 100:
Consider f(x) = x + 100/x. Solve x2 - 50x + 100 = 0: roots are x =25 ± 5√21, approximately 2.085 and 47.915.
Since the quadratic opens upward, x2 - 50x + 100 > 0 for x < 2.085 or x > 47.915.
Favorable natural numbers: x = 1, 2 (since 1,2 < 2.085) and x = 48, 49, ... , 100 (since 48 > 47.915).
Verify: f(2) = 52 > 50, f(3) ≈ 36.333 < 50, f(47) ≈ 49.128 < 50, f(48) ≈ 50.083 > 50.
Total favorable: 2 + (100 - 48 + 1) = 55.
Probability: 55/100 = 11/20.

UGEE REAP Mock Test- 4 - Question 10

6, 15, 33, 69, _____, 285

Detailed Solution for UGEE REAP Mock Test- 4 - Question 10

1st to 4th & 6th terms are 6, 15, 33, 69, x, 285. These terms are 3 × 2, 3 × 5, 3 × 11, 3 × 23, x, 3 × 95
It can be observed all terms are 3 × an. Where a1 = 2 & an = 2an-1 + 1. So, x = 3 × [2(23) + 1] = 3 × 47 = 141

UGEE REAP Mock Test- 4 - Question 11

In a certain code, if the word SOME is coded as MSEO and the word NAME is coded as MNEA, then what is the code for WARM in that language?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 11

UGEE REAP Mock Test- 4 - Question 12

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 12

In the question, it is given that Ahmed is 5 km away and Susan is 7 km away from where I live. Further, it is given that Arun is farther away than Ahmed from where I live and not as far as Susan. That means Arun must be living at a distance more than 5 km but less than 7 km from my house, which is according to given options can be 6.02 km.

UGEE REAP Mock Test- 4 - Question 13

The ratio of expenses on girlfriend to salary has been the highest in which one of the following years?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 13

Ratio of expenses on girlfriend to salary is tabulated below:

It is clear now that the ratio is the highest for year 2002.
Hence, (c).

UGEE REAP Mock Test- 4 - Question 14

Nobody knows how the Indian cricket team is going to cope with the difficult and seamer-friendly wickets in Australia.
Choose the option which is closest in meaning to the underlined phrase in the above sentence.

Detailed Solution for UGEE REAP Mock Test- 4 - Question 14

The phrase ‘cope with’ means to deal or manage with something, especially a problem or difficulty.

Among the given options, ‘put up with’ is closest in meaning as it suggests:

  • Enduring a difficult situation
  • Tolerating challenges
UGEE REAP Mock Test- 4 - Question 15

Which of the following is CORRECT with respect to grammar and usage?

Mount Everest is _________.

Detailed Solution for UGEE REAP Mock Test- 4 - Question 15

The sentence is stating the highest peak in the world. Since it is a specific thing, we need to use the definite article ‘the’ before it. Also the sentence is using the superlative degree and so we say ‘the highest peak in the world’, making option (a) the correct answer. There cannot be many highest peaks in the world and so options (c) and (d) are incorrect.

UGEE REAP Mock Test- 4 - Question 16

A pack of playing cards was found to contain only 51 cards. If the first 13 cards, which are examined, are all red, what is the probability that the missing card is black?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 16

To find the probability that the missing card is black given that the first 13 cards examined are all red, use conditional probability.
Let M be the event that the missing card is black, and R be the event that the first 13 cards are red. We need P(M | R).
P(M) = 26/52 = 1/2 (26 black cards in a full deck).
If M occurs (missing card is black), the pack has 26 red and 25 black cards. P(R | M) = C(26, 13) / C(51, 13) (probability of drawing 13 red from 26 red, 51 total).
If not M (missing card is red), the pack has 25 red and 26 black cards. P(R | not M) = C(25, 13) / C(51, 13).
P(R) = P(R | M) * P(M) + P(R | not M) * P(not M) = [C(26, 13) / C(51, 13)] * (1/2) + [C(25, 13) / C(51, 13)] * (1/2).
Thus, P(M | R) = [C(26, 13) * (1/2)] / P(R) = C(26, 13) / [C(26, 13) + C(25, 13)].
Since C(26, 13) / C(25, 13) = 26 / 13 = 2, then P(M | R) = 2 / (2 + 1) = 2/3.

UGEE REAP Mock Test- 4 - Question 17

Let (1 + x + x²)⁹ = α₀ + α₁x + …., α18x18, then which of the following is true?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 17

Step 1: Total Sum of Coefficients

To find the sum of all coefficients, plug in x = 1:
(1 + 1 + 1)⁹ = 3⁹ = 19683

So the total sum a₀ + a₁ + ... + a₁₈ = 19683

Step 2: Check Option (a)

Option (a) says:
a₀ + a₁ + ... + a₁₈ = a₁ + a₃ + ... + a₁₇
That implies the sum of even-indexed coefficients equals the sum of odd-indexed ones.

But the total sum 19683 is odd, and if even and odd terms were equal, their sum would be even. So,
Option (a) is false.

Step 3: Check Option (b)

Option (c) says the total sum is divisible by 9.
We already have the total sum as 19683, and 19683 ÷ 9 = 2187, which is an integer.
So,
Option (b) is true

Step 4: Check Option (c)

To find the sum of even-indexed coefficients, we use this trick:

  • Plug x = 1: gives total sum = 19683

  • Plug x = –1:
    (1 – 1 + 1)⁹ = (1)⁹ = 1

Now add these two: 19683 + 1 = 19684
Now divide by 2 to get the sum of even-indexed coefficients:
19684 ÷ 2 = 9842

Since 9842 is even,
Option (c) is false

Step 5: Check Option (d)

Option (d) says the total sum is divisible by 3 but not by 9.
But we just proved the sum is divisible by 9, so
Option (d) is false

Final Answer: Option C

UGEE REAP Mock Test- 4 - Question 18

Pick the odd one out in the following:
13, 23, 33, 43, 53

Detailed Solution for UGEE REAP Mock Test- 4 - Question 18

1. Identify Each Number's Primality:

  • 13: Prime (divisible only by 1 and 13)
  • 23: Prime
  • 33: Not Prime (3 × 11 = 33)
  • 43: Prime
  • 53: Prime

2. Determine the Odd One Out: Since all numbers except 33 are prime, 33 is different.

UGEE REAP Mock Test- 4 - Question 19

In how many ways can one arrange letters in the word 'INSTITUTION' such that no two same letters come together along with the following conditions:
(A) There is no 'T' which is immediately preceded as well as followed by 'N'.
(B) There is no 'T' which is immediately preceded as well as followed by 'T'.

Detailed Solution for UGEE REAP Mock Test- 4 - Question 19

The word "INSTITUTION" has 11 letters with frequencies I:3, T:3, N:2, S:1, U:1, O:1.
Total arrangements without restrictions are 
The conditions (no two identical letters adjacent, no 'T' in N-T-N or T-T-T sequences) reduce this number significantly.
The provided solution incorrectly assumes 10 letters and does not properly address the conditions, yielding an unjustified 40320.
A detailed combinatorial calculation is needed, but none of the options (32256, 40320, 60480) align with "INSTITUTION" under these constraints. Thus, the correct answer is "D: None of these."

UGEE REAP Mock Test- 4 - Question 20

Detailed Solution for UGEE REAP Mock Test- 4 - Question 20


UGEE REAP Mock Test- 4 - Question 21

Detailed Solution for UGEE REAP Mock Test- 4 - Question 21


= 0 + 1 = 1

UGEE REAP Mock Test- 4 - Question 22

Find what should come in place of the question mark (?) in the following number series:

12, 12, 18, 45, 180, 1170, ?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 22

The given number series is based on the following pattern:
12 × 1 = 12
12 × 1.5 = 18
18 × (1 + 1.5) = 18 × 2.5 = 45
45 × (1.5 + 2.5) = 45 × 4 = 180
180 × (4 + 2.5) = 180 × 6.5 = 1170
∴ ? = 1170 × (4 + 6.5) = 1170 × 10.5 = 12285
Hence, 12285 will replace the question mark.

UGEE REAP Mock Test- 4 - Question 23

In a certain code language 'KEYBOARD' is written as 'FMGADQCT'. How will 'TOUCHPAD' be written in that code language?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 23

The pattern followed for coding KEYBOARD is as follows,

Following the same pattern,

Thus, code for TOUCHPAD is FVQWEJRC.

UGEE REAP Mock Test- 4 - Question 24

Translate into English → ulamakni man kubamhna yaihnit yak buitaman?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 24

"The question asks for the English translation of 'ulamakni man kubamhna yaihnit yak buitaman?'
Based on patterns in the reference translations, such as 'Your compary shokes the moon above you' (possibly 'company shakes'), the verb 'shake' and preposition 'next to' (as in 'next to you') appear plausible.
Option B, 'You shake the clam next to your owl,' aligns with these elements, suggesting a subject ('you') performing an action ('shake') with a location ('next to').
Thus, the correct answer is B."

UGEE REAP Mock Test- 4 - Question 25

Translate into English → man wakimasa talasyanga yang walakibis balna taaniitna yak?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 25

The given phrase 'man wakimasa talasyanga yang walakibis balna taaniitna yak' translates to 'We do not see your banana in front of my sons.'

  • This matches option C.
UGEE REAP Mock Test- 4 - Question 26

Which option represents the Mayangna translation of 'Our masters do not open the clouds in front of us'?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 26

The task is to identify the Mayangna translation of 'Our masters do not open the clouds in front of us.'
Options A, B, and C are in English, while D is in Mayangna: 'yagna dakinawan balna mukusni balna kurarahwaski yagna taakitna yak.'
Given the reference translations, such as 'The owl do not make clouds in front of their farm' and 'My master eats clams above me,' elements like 'masters,' 'clouds,' and 'in front of' appear.
Option D is the only Mayangna sentence, and it corresponds to the English phrase provided, making it the correct answer.

UGEE REAP Mock Test- 4 - Question 27

Translate into English → wasni yaihnit yak sunilu palani yamtaman.?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 27

The correct translation of 'You make the dog's raft next to the water' matches exactly with Option D.

UGEE REAP Mock Test- 4 - Question 28

Two dice are thrown simultaneously. What is the probability that the sum of the numbers is a multiple of 4?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 28

When two dice are thrown, the total number of outcomes is:
6 × 6 = 36

Now, list all outcomes where the sum is a multiple of 4:
Multiples of 4 between 2 and 12: 4, 8, 12

Sum = 4 → Pairs:

(1,3), (2,2), (3,1) → 3 outcomes

Sum = 8 → Pairs:

(2,6), (3,5), (4,4), (5,3), (6,2) → 5 outcomes

Sum = 12 → Pairs:

(6,6) → 1 outcome

Total favorable outcomes = 3 + 5 + 1 = 9
Total possible outcomes = 36

So,
Probability = 9 / 36 = 1 / 4

Final Answer: (c) 1/4

UGEE REAP Mock Test- 4 - Question 29

Direction: Find what should come in place of question mark (?) in the following number series:

23 25 53 163 657 ?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 29

The given number series is based on the following pattern:
23 × 1 + 2 = 25
25 × 2 + 3 = 53
53 × 3 + 4 = 163
163 × 4 + 5 = 657
657 × 5 + 6 = 3291
Hence, 3291 will replace the question mark.

UGEE REAP Mock Test- 4 - Question 30

To whom is Chhaya married?

Detailed Solution for UGEE REAP Mock Test- 4 - Question 30

From the given information, two conclusions can be obtained:
1. Anand is not married to Bharti or Chhaya, i.e. Anand can be married to either Divya or Alka.

2. Basant and Diganto are not married to Divya or Bharti, i.e. Basant and Diganto are married to Alka or Chhaya.

From these two conclusions, we can see that since Alka would be married to either Basant or Diganto, Anand would surely be married to Divya, which leaves Chetan and Bharti as a pair as well. This gives two final possible sets of pairs of males and females.
1. When Basant is married to Alka

2. When Basant is married to Chhaya

Following these two possibilities, the partners of Basant and Diganto, i.e. Chhaya and Alka cannot be known for sure without any more information.
Therefore, it cannot be determined whom Chhaya is married to.

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