Graduate Aptitude Test in Engineering
Date: 4th Feb 2017
General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark each.
Q. 6 – Q. 10 Carry TWO marks each.
Q 1. After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur.
(A) was wishing
(B) is wishing
(C) wished
(D) had wished
Ans: (C) wished
Solution: when the main clause is in the past or past perfect tense, the subordinate clause must be in the past or past perfect tense.
Q 2: Research in the workplace reveals that people work for many reasons _______________ .
(A) money beside
(B) beside money
(C) money besides
(D) besides money
Ans: (D) besides money
Solution:
- BESIDE, with no “s” at the end, is used only as a preposition, which means there is always a noun following it. It means either “next to” or “compared to,” as shown in the examples below.
- She sat beside (= next to) him during lunch.
- BESIDES with an “s” at the end can also be used as a preposition, but it means “except” or “in addition to,” as in these examples:
- There’s no one here besides (= except) me.
- She wants to learn other languages besides (= in addition to) English and French.
- Besides (= in addition to) its famous cakes, the bakery also makes delicious breads and cookies.
Q 3:Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other?
(A) Rahul and Murali
(B) Srinivas and Arul
(C) Srinvas and Murali
(D) Srinivas and Rahul
Ans: (C) Srinvas and Murali
Solution: Arul and Rahul will sit opposite to each other.
Murali and Srinivas will sit opposite to each other in the square table.
Q 4:Find the smallest number y such that y×162 is a perfect cube.
(A) 24
(B) 27
(C) 32
(D) 36
Ans: (D) 36
Solution: y×162=y×2x3x3x3x3
Clearly for perfect cube, every number must appear thrice
So we must have y = 2x2x3x3 = 36
Q 5: The probability that a k-digit number does NOT contain the digits 0,5 or 9 is
(A) 0.3^{k}
(B) 0.6^{k}
(C) 0.7^{k}
(D) 0.9^{k}
Ans: (C) 0.7^{k}
Solution: Total possibilities =9×10^{k−1}, because most significant digit has 9 options (excluding 0) and every other digit has 10 options from 0 to 9.
Possibility of not containing any of the digits 0,5,9=7^{k}, as now every digit has 7 options.
Required probability =7^{k} / (9×10^{k−1}) = (0.7)^{k}
Q 6.”The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history.” Which of the following statements best reflects the author’s opinion?
(A) Nationalists are highly imaginative.
(B) History is viewed through the filter of nationalism.
(C) Our colonial past never happened.
(D) Nationalism has to be both adequately and properly imagined.
Ans: (B) History is viewed through the filter of nationalism.
Q 7.Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is
(A) 2
(B) 3
(C) 4
(D) Cannot be determined
Ans: (A) 2
Solution:
- There are at least two men and two women
- None of the women are right-handed and There are at least three right-handed persons means atleast 3 right handed persons are men
- So atleast 3 Men and 2 Women are there
- Remaining 1 person can be Man or woman with condition “Woman with left handed or Man with either left handed or right handed.”
Case-1: Let us suppose that a person is a woman. So, 3 Right handed Men and 3 Left Handed Women which is not possible
Case-2: Let us suppose that a person is a Left handed man. So, 3 Right handed Men and 2 Left Handed Women and 1 left handed man
Case-3: Let us suppose that a person is a Right handed man. So, 4 Right handed Men and 2 Left Handed Women, which is also not possible
So 2 women are there