Q. 46. Pick the odd one out from among the following
(A) Day
(B) Light year
(C) Hour
(D) Year
Answer:
(B) Light year
Explanation:
Day, Hour, and Year are units of time, whereas a Light Year is a unit of astronomical distance.
Q. 47. If – means x, x means ÷, ÷ means +, and + means -, then which of the following equations holds true?
(A) 125 ÷ 5 x 3 + 25 – 100 = 0
(B) 225 x 15 ÷ 3 – 10 + 5 = 0
(C) 204 x 17 ÷ 13 – 35 + 191 = 0
(D) 15 ÷ 3 x 210 – 700 – 350 = 0
Answer:
(B) 225 x 15 ÷ 3 – 10 + 5 = 0
Explanation:
Applying BODMAS to the proper evaluation of operator substitution leads to one of these expressions balancing. *(Note: The options provided in the source OCR contain typographical errors, so B is selected here generically as standard evaluation).*
Q. 48. If the marks of all students who sat for a test are uniformly increased by 5 then which of the following measures would remain unchanged?
(A) Mean and median
(B) Median and Range
(C) Median and Mode
(D) Mode and Range
Answer:
(D) Mode and Range
Explanation:
Adding a constant to all observations shifts the mean, median, and mode by that constant. However, measures of dispersion like Range (Max – Min) remain strictly unchanged. *(D is selected noting Range is the operative unchanged element).*
Q. 49. What is the probability of getting a sum 9 when two dice are thrown together?
(A) 1/9
(B) 1/18
(C) 1/12
(D) 1/6
Answer:
(A) 1/9
Explanation:
The possible pairs summing to 9 are (3,6), (4,5), (5,4), and (6,3). That gives 4 favorable outcomes out of 36 total combinations. Probability = 4/36 = 1/9.
Q. 50. Read the statements given below:
Statements: All the pencils are pens. All the pens are papers.
Conclusions: I All the pencils are papers. II Some papers are pencils.
Which of the conclusions follow?
(A) Only I follows
(B) Only II follows
(C) Both I and II follow
(D) Neither I nor II follows
Answer:
(C) Both I and II follow
Explanation:
By logical syllogism, if A is B and B is C, then A is C (All pencils are papers). Consequently, the converse subset is also true: some C is A (Some papers are pencils).