GA Questions 1 to 10 Solutions
Q.1-Q.5 carry one marks each.
Q.1.This book, including all its chapters,_ interesting. The students as well as the instructor in agreement about it.
(A) is, was
(B) are, are
(C) is, are
(D) were, was
Ans. (C) is, are
Solution: is and are are required in the given blanks. is is used for singular verb and are is for plural.
Therefore, option (c) is correct.
Q.2. People were prohibited_______ their vehicles near the entrance of the main administrative building.
(A) to park
(B) from parking
(C) parking
(D) to have parked
Ans. (B) from parking
Solution: The preposition from is perfect in the given problem. So, option (c) is correct.
Q.3. Select the word that fits the analogy:
Do:Undo::Trust:
(A) Entrust
(B) Intrust
(C) Distrust
(D) Untrust
Ans. (C) Distrust
Solution: Taking antonyms of the following words, The opposite of do is undo and opposite of trust is distrust. So, option (c) is correct.
Q.4. Stock markets _ at the news of the coup.
(A) poised
(B) plunged
(C) plugged
(D) probed
Ans. (B) plunged
Solution: The option (b) fits in the given problem. Plunged means jump or drive quickly.
Q.5. If P,Q,R,S are four individuals, how many teams of size exceeding one can be formed, with Q as a member?
(A) 5
(B) 6
(C) 7
(D) 8
Ans. (C) 7
Solution: Applying formula of combination,
^{n}C_{r}=\frac{n!}{r!(n-r)!}Taking Combination of these four individuals , we get
3C1+3C2+3C3
3 + 3+ 1 = 7
So, there could be 7 possible combinations. The combinations could be,
PQ, RQ, SQ, PRQ, PSQ, RSQ, PQRS
So, option (c) is correct.
Q.6-Q.10 carry two marks each.
Q.6. Non-performing Assets(NPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of intyerest, principal, or both. Reserve Bank of India(RBI) has changed the definition of NPA thrice during 1993-2004, in terms of the holding period of loans. The holding period was reduced by one quarter each time. In 1993, the holding period was four quarters(360 days).
Based on the above paragraphs, the holding period of loans in 2004 after the third revision was __ days.
(A) 45
(B) 90
(C) 135
(D) 180
Ans. (B) 90
Solution: It is given in the problem that holding period was reduced by one quarter each time. It means there are four quarters i.e. 360 days., so as holding period is reduced by one quarter.
Therefore, Holding period = 360/4 = 90 days
So, after third revision holding period of loans in 2004 remains 90 days.
Q.7. Select the next element of the series: Z,WV,RQP,
(A) LKJI
(B) JIHG
(C) KJIH
(D) NMLK
Ans. (C) KJIH
Solution: Applying the logic like,
Let us assume that each alphabet is numbered 1,2, till 26 .
i.e. A=1, B=2… Z=26
We can see that number is firstly reduced by 3, 2 then 1
Z = 26
WV = 23 , 22
RQP = 18, 17, 16
KJIH = 11, 10, 9 , 8
So, option (c) is correct.
Q.8. In four-digit integer numbers from 1001 to 9999, the digit group ”37”( in the same sequence) appears __ times.
(A) 270
(B) 279
(C) 280
(D) 299
Ans. (B) 279
Solution: The given four digit number is 1001 to 9999.
10 x 10 + 9 x 10 + 9 x 10 = 280
So, 37 appears 280 times
So, option (c) is correct.
Q.9. Given a semicircle with O as the centre, as shown in the figure the ratio \frac{\overline{AC}+\overline{CB}}{\overline{AB}} is _, where \overline{AC},\overline{CB}\;and\;\overline{AB} are chords.
(A)√2
(B) √3
(C) 2
(D) 3
Ans. (A)√2
Solution: Given that O is the centre of the semicircle. Let AB is the diameter of the semicircle.
Let OC = r , OB= r , AO=r
Applying pythagoras theorem, to the triangle OCA and OCB
We get AC=BC = \sqrt{2}r
The ratio is \frac{\overline{AC}+\overline{CB}}{\overline{AB}}= \frac{\overline{AC}+\overline{CB}}{\overline{AB}}
=\frac{\sqrt{2}r+\sqrt{2}r}{2r} =\frac{2\sqrt{2}}{2}=\sqrt{2}Therefore, option (a) is correct
Q.10. The revenue and expenditure of four different companies P,Q, R AND S in 2015 are shown in the figure. If the revenue of company Q in 2015 was 20% more than that in 2014, and company Q had earned a profit of 10%on expenditure in 2014, then its expenditure(in million rupees) in 2014 was __.
(A) 32.7
(B) 33.7
(C) 34.1
(D) 35.1
Ans. (C) 34.1
Solution: From the figure , the data of four companies is given. let the revenue of company Q in 2014 is Rs. x million rupees.
It is mentioned that revenue of company Q in 2015 was 20% more than that in 2014.
The revenue of Company Q in 2015 is Rs. 1.2 x milion rupees
So, 1.2 x = 45
x = 37.5 in million rupees
The second condition given is that Q has earned 10% profit .
Since, Expenditure of company Q in 2014 = \frac{x}{1.2-0.1} = \frac{37.5}{1.1}=34.1
Therefore,option (c) is correct.