NMAT 2026 Quiz 18: Miscellaneous LR

Home » NMAT 2026 Quiz 18: Miscellaneous LR

Q1. In the given figure, 'A' indicates Tamil speakers, 'B' indicates Telugu speakers, 'C' indicates Kannada speakers and 'D' indicates Hindi speakers. Which set of people speaks three languages?
Correct Option A … Explanation: Region F lies inside circles A, B and D, so these people speak Tamil, Telugu and Hindi. Region H lies inside circles B, C and D, so these people speak Telugu, Kannada and Hindi. K lies only in B and D (two languages). I lies in C and D, and J lies in A and D, so both are two-language regions. Hence, option A.Q2. In a certain language, 'PIC VIC NIC' means 'winter is cold', 'TO NIC RE' means 'summer is hot', and 'RE THO PA' means 'nights are hot'. Which of the following is the code for 'summer'? Correct Option A … Explanation: 'is' appears in statements 1 and 2, and so does NIC, so NIC = is. 'hot' appears in statements 2 and 3, and so does RE, so RE = hot. In statement 2, the only remaining code is TO, so TO = summer. Hence, option A.Q3. Find the wrong number in the series: 7, 18, 40, 106, 183, 282, 403 Correct Option B … Explanation: The differences should be odd multiples of 11: 11, 33, 55, 77, 99, 121. This gives the series 7, 18, 51, 106, 183, 282, 403. So the third term should be 51, not 40. Hence, option B.Q4. Statements: Some papayas are honey. No papaya is orange. Some oranges are not mangoes.
Conclusions:
I. Some papayas are mangoes.
II. Some papayas are not mangoes. Correct Option C … Explanation: The statements give no definite relation between papayas and mangoes, so neither conclusion follows on its own. However, the two conclusions have the same subject and predicate. One is a 'some … are' statement and the other is a 'some … are not' statement, so they form a complementary pair: at least one of them must be true. Hence, option C.Q5. Out of 80 students who appeared for the school exams in Mathematics (M), Physics (P) and Chemistry (C), 50 passed M, 30 passed P and 40 passed C. At most 20 students passed M and P, at most 20 students passed P and C, and at most 20 students passed C and M. The maximum number of students who could have passed all three exams is Correct Option D … Explanation: Each pairwise overlap is at most 20, so at most 20 students can pass all three. Check that 20 is possible. If 20 pass all three, each pairwise overlap is exactly those 20, so nobody passes exactly two subjects. Then Only M = 50 − 20 = 30, Only P = 30 − 20 = 10 and Only C = 40 − 20 = 20. The total is 20 + 30 + 10 + 20 = 80, which matches exactly. Hence, option D.Q6. Find the missing number.
Correct Option D … Explanation: The number at the bottom is the sum of the squares of the two numbers at the top. 18² + 15² = 324 + 225 = 549, and 17² + 19² = 289 + 361 = 650. So the missing number is 15² + 14² = 225 + 196 = 421. Hence, option D.Q7. What is the missing number in the series? 3, 3, 8, 7, 18, 15, 33, 27, ? Correct Option E … Explanation: The series is two series interleaved. The odd-position terms are 3, 8, 18, 33, with differences +5, +10, +15, so the next term is 33 + 20 = 53. The even-position terms are 3, 7, 15, 27, with differences +4, +8, +12. The missing term is in an odd position, so it is 53. Hence, option E.Q8. If TYPEWRITER is written as GBKVDIRGVI, how can STENO be written in that code? Correct Option B … Explanation: Each letter is replaced by its opposite letter in the alphabet, so the two positions always add up to 27 (T(20)→G(7), Y(25)→B(2), and so on). Applying this to STENO: S(19)→H(8), T(20)→G(7), E(5)→V(22), N(14)→M(13), O(15)→L(12). So STENO = HGVML. Hence, option B.Q9. A pizza delivery box can fit six large or ten small pizzas. If a total of 58 pizzas have to be delivered and there are more small pizzas than large pizzas, how many boxes are required? Correct Option D … Explanation: Let a be the number of boxes of small pizzas and b the number of boxes of large pizzas, with every box full. Then 10a + 6b = 58. The integer solutions are (a, b) = (1, 8) and (4, 3). The first gives 10 small and 48 large pizzas, which breaks the condition that there are more small pizzas. The second gives 40 small and 18 large pizzas, which satisfies it. Boxes required = 4 + 3 = 7. Hence, option D.Q10. A watch gains time uniformly. It was 3 minutes slow at noon on a Sunday and was 7 minutes 12 seconds fast at 2 pm on the following Sunday. When was it correct? Correct Option C … Explanation: The time elapsed is 7 days + 2 hours = 170 hours. The total gain is 3 min + 7 min 12 s = 10.2 minutes. The watch shows the correct time once it has gained 3 minutes, which takes 170 × 3/10.2 = 50 hours. 50 hours after noon on Sunday is 2:00 pm on Tuesday. Hence, option C.Q11. Find the odd one out. Correct Option D … Explanation: The digit sums are 7+2+7 = 16, 6+4+6 = 16, 8+7+1 = 16, 3+5+8 = 16, and 6+5+4 = 15. Only 654 does not have a digit sum of 16. Hence, option D.Q12. P is Q's brother. R is Q's mother. S is R's father. T is S's mother. How is P related to T? Correct Option B … Explanation: P is Q's brother, so R is P's mother. S is R's father, so P is S's grandson. T is S's mother, so P is T's great-grandson. Hence, option B.Q13. Statements: Some History is Geography. All Civics is Geography.
Conclusions:
I. Some Civics is History.
II. Some History being Civics is a possibility. Correct Option B … Explanation: History and Civics are both linked to Geography, but the statements give no definite link between them. So conclusion I does not follow. However, Civics and History could overlap within Geography, so conclusion II, which only states a possibility, follows. Hence, option B.Q14. In the Venn diagram below, the Circle represents sportspersons, the Square represents unmarried persons, the Triangle represents women, and the Rectangle represents educated persons. Which section is represented by No. 11?
Correct Option E … Explanation: Region 11 lies inside all four figures: the circle (sportspersons), the square (unmarried), the triangle (women) and the rectangle (educated). So it represents unmarried, educated sportswomen. Hence, option E.Q15. Fact 1: Toys are surrounded by children. Fact 2: Ball is a toy. Fact 3: Ball is made of plastic.
If the statements above are facts, which, if any, of the statement(s) below (I, II, or III) must also be (a) fact(s)?
I. Ball is surrounded by children.
II. All toys are made of plastic.
III. All plastics form toys. Correct Option A … Explanation: Toys are surrounded by children and a ball is a toy, so a ball is surrounded by children; statement I must be true. Knowing that a ball is made of plastic does not tell us that all toys are plastic, so statement II does not follow. It also does not tell us that all plastics form toys, so statement III does not follow. Hence, option A.Q16. Out of 140 mechanics, 10% can repair all three devices: Air Conditioner (AC), Television (TV) and Refrigerator. 50 mechanics can repair exactly two of the three electronic devices; 22 can repair ONLY TVs; and the number who can repair ONLY ACs equals the number who can repair ONLY Refrigerators. If each of these mechanics can repair at least one of the three electronic devices, then how many mechanics can repair ONLY ACs? Correct Option D … Explanation: 10% of 140 = 14 mechanics can repair all three devices. Let Only AC = Only Refrigerator = x. Then 14 + 50 + 22 + 2x = 140, so 2x = 54 and x = 27. Hence, option D.Q17. Find the missing number.
Correct Option A … Explanation: The numbers in the right half of the circle add up to 10 + 1 + 6 + 5 = 22. The numbers in the left half must add up to the same total: 4 + 7 + 3 + ? = 22, so ? = 8. Hence, option A.Q18. If January 1, 2023 was a Sunday, what day will January 1, 2033 be? Correct Option B … Explanation: The period from Jan 1, 2023 to Jan 1, 2033 covers 10 years, including 3 leap years (2024, 2028 and 2032). Odd days = 10 + 3 = 13, and 13 mod 7 = 6. Six days after Sunday is Saturday. Hence, option B.Q19. Raghu starts from his house in his car and travels 8 km towards the North, then 6 km towards the East. He then travels 10 km to his right, 4 km to his left, 10 km north, and finally 4 km to his right. In which direction is he now with reference to his starting point? Correct Option C … Explanation: Take the starting point as (0, 0) and track each leg:
8 km North takes him to (0, 8), and 6 km East to (6, 8).
Facing East, a right turn means South, so 10 km takes him to (6, −2).
Facing South, a left turn means East, so 4 km takes him to (10, −2).
10 km North takes him to (10, 8).
Facing North, a right turn means East, so 4 km takes him to (14, 8).
His final position is east and north of the start, so he is North-East of his starting point. Hence, option C.Q20. Showing a man, a woman said, 'His brother's father is the only son of my grandfather'. How is the woman related to the man? Correct Option E … Explanation: The only son of the woman's grandfather is her father. The man's brother's father is the man's own father. So the man and the woman have the same father, which makes the woman his sister. Hence, option E.