Twisted Ones Quantitative Aptitude Questions for NICL AO Mains Exam 2017

Dear Readers,

Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of Twisted Ones Quantitative Aptitude for NICL AO Mains 2017.

Q1. A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is same as the number of red tiles. What is the possible values of no. of tiles along one edge of the floor?
(a) 10
(b) 12
(c) 14
(d) 16
(e) None of these

S1. Ans.(b)
Let the rectangle has m and n tiles along its length and breadth respectively.
The number of while titles
W = 2 m + 2 (n - 2) = 2(m + n - 2)
And the number of red tiles
R = mn - 2(m + n - 2)
W = R ⇒ 4 (m + n - 2) = mn
⇒ mn - 4m - 4n = -8
⇒ (m - 4) (n - 4) = 8
As m and n are integers so (m - 4) and (n - 4) are both integers. The possibilities are (m - 4, n - 4) = (1 , 8) or (2, 4) giving, (m, n) as (5, 12) or (6, 8) so the edges can have 5, 12, 6 or 8 tiles.

Q2. A telecom service provider engages male and female operator for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and female operator gets a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 and Maximum 12 number of females?
(a) 15
(b) 14
(c) 12
(d) 10
(e) None of these

S2. Ans.(d)
Sol. Let us form both equations first:
40M + 50F = 1000
250M + 300F + 40 × 15M+ 50 × 10F = A
850M + 800F = A
Where M and F are the number of Males and Females and A is the amount paid by the service provider.
Then the possible values of F are 8, 9, 10, 11, 12
If F = 8, then, M = 15
If F = 9, 10, 11 then M will not be an integer while F = 12 then M will be 10.
By putting F = 8 and M = 15, A = 19150. When F = 12 and M = 10, then A = 18100.
Hence the number of males will be 10.

Q3. Let S be a set of positive integers such that every element n of S satisfies the conditions:
I.  1000 ≤n≤ 1200
II. Every digit in n is odd.
Then how many elements of S are divisible by 3?
(a) 9
(b) 10
(c) 11
(d) 12
(e) None of these

S3. Ans.(a)
Sol. The 100th and 1000th position value will be only 1.
Now the possibility of unit and tens digits are (1, 3), (1, 9), (3, 1), (3, 7),(5, 5), (7, 3), (7, 9), (9, 1), (9, 7)

Q4. The digits of a three-digit number of A are written in the reverse order to form another three-digit number B. If B > A and B – A is completely divisible by 7, then which of the following is necessarily true?
(a) 100 < A < 299
(b) 107 < A < 300
(c) 112 < A < 311
(d) 118 < A < 317
(e) None of these

Q5. In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games, both the players were girls, and in 190 games both the players were boys.  What is the number of games in which one player was a boy and the other was a girl ?
(a) 200
(b) 216
(c) 235
(d) 256
(e) None of these

Q6. Mr. Tom completes a race at an average speed of 20 kmph in three equal stretches. His average speed for the first two stretches is 4 times that for the last stretch. Find the speed over stretch 
a) 15 km/h
(b) 12 km/h
(c) 10 km/h
(d) Cannot be determined
(e) None of these

Directions (7-9): Answer the following questions based on the information given below. 
For admission to various affiliated colleges, a university conducts a written test with four different sections, each with a maximum of 50 marks. The following table gives the aggregate as well as the sectional cut-off marks fixed by six different colleges affiliated to the university. A student will get admission only if he/she gets marks greater than or equal to the cut-off marks in each of the sections and his/her aggregate marks are at least equal to the aggregate cut-off as specified by the college.

Q7. Bhawna got calls from all colleges. What could be the minimum aggregate marks obtained by her? 
(a) 180
(b) 198
(c) 196
(e) 184 

Q8. Charlie got calls from two colleges. What could be the minimum marks obtained by him in a section? 
(a) 0
(b) 21
(c) 35
(d) 40
(e) 41

Q9. Aditya did not get a call from even a single college. What could be the maximum aggregate marks obtained by him? 
(a) 181
(b) 176
(c) 191
(d) 196
(e) 190 

Q10. A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is same in all three shifts and the men are ready to work in three shifts of 8 hours per day and no man works in more than one shift. What will be the average cost incurred per dye if 1 man hour costs Rs. 20 and 1 machine hour costs Rs. 15?  
(a) Rs. 140
(b) Rs. 160
(c) Rs. 147
(d) Rs. 153
(e) None of these

Q11. A shopkeeper buys some article at a discount of 20% on MRP. He then marked the goods 30% higher than the MRP. While selling he gives discount of 20%. He sells 60% of the goods at normal 20% discount and remaining with x% discount on MRP thus his overall profit% is 23.5. Find the value of x.
(a) 25%
(b) 30%
(c) 35%
(d) 27.5%
(e) None of these 
Q12. A college has raise 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited? 
(a) 300
(b) 250
(c) 400
(d) 500
(e) 700

Q13. A milk vendor cheats his customer by mixing water in milk. He had 30 Lt of mixture in which concentration of water is 15%. Due to complain from customer has replaced some quantity mixture by milk and the final concentration of water in new mixture is 7%. He sold the replaced quantity of mixture at 90% of cost price and the new mixture at 125 % of cost price. Find the overall profit% (approx.) Assume water available at zero cost. 
(a) 25%
(b) 30%
(c) 35%
(d) 27.5%
(e) None of these 

Q14. One bacterial splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produce the next generation. If the seventh-generation number is 4096 million, what is the number in first generation?    
(a) 1 million 
(b) 2 million 
(c) 4 million 
(d) 8 million 
(e) None of these

Q15. Three pieces of cakes of weights 4 (1/2) lbs, 6 (3/4) lbs and 7 (1/5) lbs respectively are to be divided into parts of equal weights. Further, each part must be as heavy as possible. If one such part is served to each guest, then what is the maximum number of guests that could be entertained?
(a) 54 
(b) 72
(c) 20
(d) 41
(e) None of these

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1 comment:

  1. on question 6 you didnt mention length but in answer it shows 2km