Q. 91. Anira is facing west. She then turns 45 degrees in the clockwise direction and then another 180 degrees in the same direction and then 270 degrees in the anti-clockwise direction. In which direction she is facing now?
(A) South
(B) North-west
(C) West
(D) South-west
Answer:
(D) South-west
Explanation:
Let West be 270°. Clockwise (CW) 45° faces her North-West (315°). Another 180° CW faces her South-East (135°). Then 270° anti-clockwise is mathematically 135° – 270° = -135° (which translates to 360 – 135 = 225°). 225° is exactly South-West.
Q. 92. Two statements are given followed by two conclusions:
Statements:
All numbers are divisible by 5
All numbers are divisible by 11
Conclusion-I: All numbers are divisible by 10
Conclusion-II: All numbers are divisible by 55
Which of the above conclusions logically follow/follows from the above given statement?
(A) Only conclusion I
(B) Only conclusion II
(C) Neither conclusion I nor conclusion II
(D) Both conclusions I and conclusion II
Answer:
(B) Only conclusion II
Explanation:
If all numbers in a given set are divisible by both 5 and 11, then they must be divisible by the least common multiple (LCM) of 5 and 11, which is 55. Divisibility by 10 cannot be logically guaranteed (e.g., the number 55 is divisible by 5 and 11, but not by 10).
Q. 93. Statements:
I: No pear is a strawberry.
II: Some strawberries are mangoes.
III: Some mangoes are keys.
Conclusions:
I: Some mangoes are strawberries.
II: No keys are a pear.
III: No keys are a mango.
Which of the above conclusions logically follow/follows from the above given statement?
(A) if only conclusion I does not follow.
(B) if only conclusion II and III do not follow.
(C) if only conclusion III does not follow.
(D) if only conclusions I and II do not follow.
Answer:
(B) if only conclusion II and III do not follow.
Explanation:
Let’s evaluate the conclusions. Conclusion I (Some mangoes are strawberries) is simply the converse of Statement II, so it is logically TRUE. Conclusion II (No keys are a pear) cannot be definitively established from the premises. Conclusion III (No keys are a mango) directly contradicts Statement III, so it is FALSE. Therefore, only Conclusion I follows. Because the question asks which conclusions *follow*, but the options are bizarrely phrased in the negative, Option (B) “if only conclusion II and III do not follow” implies exactly that Conclusion I *does* follow.
Q. 94. Consider the following sequence of numbers: 6 16 44 126 370 ?
(A) 1100
(B) 1050
(C) 1400
(D) 1260
Answer:
(A) 1100
Explanation:
The mathematical pattern is . Let’s check: . . . . The next term must be .
