Q. 31. Pointing to a girl in the photograph, Mr Amar said, “Her mother’s brother is the only son of my mother’s father.” How is the girl’s mother related to Amar?
(A) Sister
(B) Mother
(C) Aunt
(D) Either Mother or Aunt
Answer:
(D) Either Mother or Aunt
Explanation:
“My mother’s father” is Amar’s maternal grandfather. The “only son” of the maternal grandfather is Amar’s maternal uncle. The girl’s mother’s brother is Amar’s maternal uncle. This means the girl’s mother is a sister to Amar’s maternal uncle. Therefore, she can be either Amar’s own mother or Amar’s maternal aunt.
Q. 32. Ruhi went to the bank at the speed of 60 km/h; while returning for his home he covered half of the distance at the speed of 10 km/h, but suddenly he realized that he was getting late, so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 km/h The average speed of Ruhi in the whole length of the journey is:
(A) 24 km/h
(B) 14 km/h
(C) 16 km/h
(D) 10 km/h
Answer:
(A) 24 km/h
Explanation:
Let the distance one way be D. Time to go = D/60. On return, half distance D/2 at 10km/h takes (D/2)/10 = D/20 hours. Remaining D/2 at 30km/h takes (D/2)/30 = D/60 hours. Total time = D/60 + D/20 + D/60 = (D + 3D + D)/60 = 5D/60 = D/12 hours. Total distance = 2D. Average speed = 2D / (D/12) = 24 km/h.
Q. 33. Ravi and Mohit are talking, standing at the corner of a road in the evening. Their houses are in the opposite direction. As they walk towards their houses, with their back towards each other, Ravi’s shadow is exactly to his left; then which direction is Mohit facing?
(A) North-East
(B) North
(C) South
(D) East
Answer:
(C) South
Explanation:
In the evening, the sun is in the West, so shadows fall towards the East. If Ravi’s shadow is exactly to his left, his left side must be pointing East. Therefore, Ravi is facing North. Since Mohit is walking in the opposite direction (back to back), Mohit is facing South.
Q. 34. If amongst the ‘others’ Australia accounted for 5% of the total Indian tourists and it is known from Australian official records that 4.5 lakh Indian tourists visited that country, the number of Indian tourists who are in the age range 30-40 years is:
(A) 13.5 lakhs
(B) 9 lakhs
(C) 18 lakhs
(D) 15 lakhs
Answer:
(A) 13.5 lakhs
Explanation:
Australia represents 5% of total tourists, which equals 4.5 lakhs. Therefore, total tourists = 4.5 / 0.05 = 90 lakhs. From Chart 2, the age group 30-40 years constitutes 15% of the total. 15% of 90 lakhs = 13.5 lakhs.
Q. 35. In the context of data in the previous question, if you are also told that the number of tourists to Europe is at least three times the number of tourists of the UK, what is the maximum number of tourists to the UK?
(A) Three lakhs
(B) Four lakhs fifty thousand
(C) Six lakhs
(D) It cannot be determined
Answer:
(B) Four lakhs fifty thousand
Explanation:
“Europe & UK” account for 1/5th (20%) of the total tourists. Let E be Europe and U be UK. E + U = 20%. We are given E >= 3U. Substituting E, 3U + U <= 20%, so 4U <= 20%, meaning U <= 5%. The maximum percentage for the UK is 5%. 5% of the total 90 lakhs is 4.5 lakhs (Four lakhs fifty thousand).
Q. 36. If ‘JNU’ is written as ‘101714132106’, then ‘PUSA’ will be written as:
(A) 1113171923052106
(B) 1715122308150122
(C) 1611210619080126
(D) 1611012621061907
Answer:
(C) 1611210619080126
Explanation:
Each letter is coded with its alphabetical rank followed by the rank of its opposite letter. J = 10, opposite Q = 17 -> 1017. N = 14, opposite M = 13 -> 1413. U = 21, opposite F = 06 -> 2106. For PUSA: P (16, opp K=11) -> 1611. U (21, opp F=06) -> 2106. S (19, opp H=08) -> 1908. A (01, opp Z=26) -> 0126. Total = 1611210619080126.
Q. 37. Which year has the same calender as that of 1970?
(A) 1976
(B) 1981
(C) 1990
(D) 1998
Answer:
(B) 1981
Explanation:
1970 is a non-leap year. Its remainder when divided by 4 is 2. Years with a remainder of 2 or 3 repeat their calendar after 11 years. 1970 + 11 = 1981.
Q. 38. A and B have incomes in the ratio of 5:3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends Rs. 2000 & B saves Rs. 700, then A’s saving is:
(A) Rs. 1500
(B) Rs. 1000
(C) Rs. 500
(D) Rs. 2500
Answer:
(A) Rs. 1500
Explanation:
The expenses are 8y:5y:2y. C spends 2000 => 2y = 2000 => y = 1000. So A’s expense is 8000 and B’s is 5000. B saves 700, so B’s income = 5000 + 700 = 5700. Incomes are 5x:3x. B’s income 3x = 5700 => x = 1900. A’s income = 5x = 9500. A’s saving = A’s income – A’s expense = 9500 – 8000 = 1500.
Q. 39. In an objective examination of 90 questions, 5 marks are alloted for every correct answer and 2 marks are deducted for every wrong answer. After attending all the 90 questions, a student got a total of 387 marks. The number of questions attempted wrong were
(A) 9
(B) 18
(C) 81
(D) 36
Answer:
(A) 9
Explanation:
Let C be correct answers and W be wrong answers. C + W = 90. The marks are 5C – 2W = 387. Substituting C = 90 – W gives 5(90 – W) – 2W = 387 => 450 – 7W = 387 => 7W = 63 => W = 9.
Q. 40. What is the next number in the given series: 2, 3, 4, 6, 7, 9, 10, 12?
(A) 13
(B) 15
(C) 14
(D) 16
Answer:
(A) 13
Explanation:
The pattern skips multiples of 3 minus 1 (i.e., skips 5, 8, 11). Grouping them: (2,3,4), (6,7), (9,10), (12,13)… Alternately, the difference pattern is +1, +1, +2, +1, +2, +1, +2. After 12, the next addition should be +1, making it 13.
