Polaris – Aptitude & Reasoning

1. Fill in the blank to complete the series CMM, EOO, CQQ,____?

(a) ISS                   (b) KUU                                (c) YUT                  (d) RED

Ans: (a)

2. What was the day on 17th June 1998?

(a) Monday                        (b) Tuesday                        (c) Thursday                       (d) Wednesday

Ans: (d)

The Number of odd days are arrived at as under:

Between 1600 and 1900 the number of odd days is —————–1

In 1998 completed years 97and of this Number of leap years are 24 and ordinary years 73

Total number of odd days in 97 years -> (24×2)+(73×1)-> 121 days.

From 1.1.1998 to 17.06.98 the number of odd days are {3+3+2+3+3(17-two completed weeks)]

Thus the total number of odd days are—– 1 + 121 + 14 = 136 -> completed weeks -> 19

and remaining odd days -> 3 ie Wednesday.

3. A 6% stock yield 8%, the market value of stock is?

(a) 48                     (b) 75                    (c) 96                     (d) 133.33

Ans: (b)

The yield of 6% is on a stock value of Rs 100.00

The point to note here is if the yield increases then the stock value decreases and vice versa.

Hence the market value is ->  100 x 6/8 -> Rs 75.00

4. A long rope to be cut ,to make 23 small pieces if it double folded to start with how many times it need to be cut?

(a) 9                       (b) 23                    (c) 11                     (d) 12

Ans: (c)

The rope is double folded. Hence each cut will give two small pieces. Thus 11 cuts

will give 22 pieces and the last remaining folded portion will be the 23 piece.

5. What fits in the blank of the following sequence?

Amble,   ______       jog,       run

(a) walk                                (b) creep             (c) sprint              (d) crawl

Ans: (a)

6. Find the largest factor of 2520 that is not divisible by 6?

(a) 315               (b) 225                  (c) 325                   (d) 215

Ans: (a)

7. Find the greatest number that divides 364,  414 and 539 with same remainder in each case?

(a) 25                  (b) 35                    (c) 45                     (d) 55

Ans: (a)

8. N is the 5 digit number 8A65B in which A and B are digit and N is divisible by 24.

What is the smallest number  N can be?

(a) 82653                           (b) 81656             (c) 82656              (d) 80654

Ans: (c)

The divisor 24 is a multiple of 4 and the rule of divisibility for 4 is the last two digits divisible by 4.

Only (b) and (c) fulfills this condition  and of this (c) is the number perfectly divisible by 24.

9. A number is increased consecutively two times by 20% each the original number is actually increased by?

(a) 40%              (b) 42%                 (c) 44%                 (d) 20%

Ans: (c)

Successive change in percentage is given by the formula — X + Y + XY/100

where X and Y are the successive changes in percentages.

Applying this we get ->  20 + 20 + 400/100 -> 44%

10. If ‘a is divided by b’ the result is 3/4 ,If ‘b is divided by c’ the result is 5/6 then the result when ‘a is divided by c’?

(a) 1/8                (b) 7/8                  (c) 5/8                   (d) 3/8

Ans: (c)

A/B = ¾ _> 4A = 3B

B/C = 5/6 -> 6B = 5C -> 8A = 5C  (Note 3B = 4A)

Hence A/C = 5/8

11. Optimist is to cheerful as pessimist is to

(a) gloomy                        (b) mean                             (c) petty               (d) helpful

Ans: (a)

12. Chiyo is younger than Pimpkin , Sayri is older than Pimpkin, who is younger than Chiyo?

(a) Sayri                             (b) pimkin           (c) can’t be determined                     (d)No one

Ans: (d)

13. In a certain code AUDIT is written as 2*67$ and PUB is written as 8*5 how is BUT written that code?

(a) $56                        (b) 5*$                  (c) $57             (d) 6*$                  (e) none of these

Ans: (b)

14. Seven eighth of number added to 72 doubles the number read Soren “Is this a joke?” Larry looked at the paper and said “No it is the number of my locker” what is the number?

(a) 68                                 (b) 78                    (c) 64                     (d) 74

Ans: (c)

Let the Number be N. Then we have an equation -> 7N/8 + 72 = 2N

Solving, we get value of N as 64.

15. A jar contains number of pennies, the pennies can be divided into equal share among 3, 4,5,6,7 or 8 child left with number of pennies, what is the least number of pennies that the jar contains?

(a) 440                             (b) 840                  (c) 940                  (d) 640

Ans: (b) (Find the LCM of all the numbers)

16. The day that dawn three days after tomorrow is Friday what day of the week dawned two day before yesterday?

(a) Saturday                  (b) Sunday          (c) Wednesday                 (d) Friday

Ans: (d)   Three days after tomorrow is Friday. So, tomorrow is Tuesday and today is Monday.

Yesterday was Sunday and two days prior to yesterday was again Friday.

17. A number is greater than 10 has the property that when divided either by 5 or 7 the remainder is 1,what is the smallest odd counting number that have?

(a) 61                                (b) 51                    (c) 71                     (d) 81

Ans: (c) LCM of 5 and 7 is 35 and among the choice only 71 will leave a reminder of 1 when divided by 35.

18. Three digit number 104 has a digit sum of 1+0+4 (or) 5 how many different three digit number, including 104 each have digit sum of 5?

(a) 35                               (b) 25                    (c) 15                     (d) 43

Ans: (c)

The Nos are: 104, 113, 122, 131, 140, 203, 212, 221, 230, 302, 311, 320, 401, 410, 500

19. In certain code ‘RANGE’ coded 12345 and ‘RANDOM’ is coded as 123678 then the code of ‘MANGO’ is

(a)  82543                        (b) 82347             (c) 84563              (d) 82357

Ans: (b)

20. Find the odd one out 8, 27, 64, 100, 125, 216, 343

(a) 27                                (b) 100                  (c) 125                   (d) 343

Ans: (b)

all the others are perfect cube values.

Hexaware 2015 placement paper

In the following questions choose the proper word among the choices to fill in the blanks to complete the sentence meaningfully correct.

1. Pakistan lost a ———– wicket just when they seemed to be doing so well, and that led to their eventual defeat.
(a) critical (b) crucial (c) sensitive (d) providential
Ans: (b)

2. Sita’s heart ———- at the sight of the beautiful diamond necklace.
(a) leapt (b) stopped (c) slowed (d) ran
Ans: (a)

3. He is a person of sound character and ———– disposition.
(a) beneficent (b) morous (c) amiable (d) amicable
Ans: (c)

4. He lives near a lovely ———- of countryside.
(a) length (b) piece (c) section (d) stretch
Ans: (d)

In the following questions there are six sentences. The first and the last sentence (marked S1 and S6) remain as such while the other four sentences marked P, Q, R and S are jumbled. Arrange to jumbled sentences in an order so that when read with S1 and S6 it makes a meaningful passage.

5. S1: The cooperative system of doing business is a good way of encouraging ordinary workers to work hard.
P: If the society is to be well run, it is necessary to prevent insincere officials being elected to the committee which is responsible for the business
Q: They get this from experienced and professional workers who are not only familiar with the cooperative system, but also with efficient method of doing business
R: To a large extent, many cooperative societies need advice and guidance
S: The capital necessary to start a business venture is obtained by the workers contributions
S6: The main object is to maintain the interest of every member of the society and to ensure that the members participate actively in the projects of the society.
(a) SQPR (b) PQSR (c) SRQP (d) PSRQ
Ans: (c)

6. S1: Ants eat worms, centipedes and spiders
P: They are usually much quicker than the ant itself
Q: Nevertheless, these animals do not make easy game for ants.
R: Besides, they have an extraordinary number of ways of escaping.
S: They also eat larvae and insect adults such as flies, moths and spring tails.
S6: Some jump, and some give out a pungent repellent substance.
(a) SQPR (b) SPRQ (c) SQRP (d) SRQP
Ans: (a)

7. S1: Hungary, with a population of about 10 million, lies between Czechoslovakia to the north and Yugoslavia to the south.
P: Here a great deal of grain is grown
Q: In recent years, however, progress has been made also in the field of industrialisation.
R: Most of this country consists of an extremely fertile plain, through which the river Danube flows.
S: In addition to grain, the plain produces potatoes, sugar, wine and livestock.
S6: The new industries derive mainly from agricultural production.
(a) QRSP (b) RPSQ (c) PRSQ (d) RQSP
Ans: (b)

8. S1: A gentleman who lived alone always had two plates placed on the table at dinner time.
P: One day just as he sat down to dine, the cat rushed in to the room
Q: One plate was for him and other was for his cat
R: She dropped a mouse into her own plate and another into her master plate
S: He used to give the cat a piece of meat from his own plate
S6: In this way the cat showed her gratitude to her master.
(a) QSPR (b) PSRQ (c) QRSP (d) RPQS
Ans: (a)

9. S1: Satyajit Ray made several films for children
P: Later filmmakers have followed his lead
Q: Today other nations are making the children’s films in a big way
R: This was at a time when no director considered children as potential audience
S: Ray was, thus, a pioneer in the field.
S6: But, today few think of Ray as a maker of children’s film.
(a) PSRQ (b) RSQP (c) RSPQ (d) SQRP
Ans: (c)

In the following choose the word that gives the meaning of the word in bold letters:

10. RARELY
(a) hardly (b) definitely (c) frequently (d) periodically
Ans: (a)

11. PRESTIGE
(a) Influence (b) quality (c) name (d) wealth
Ans: (c)

12. STRINGENT
(a) tense (b) stringy (c) strict (d) causing to shrink
Ans: (c)

In the following choose the word that is exactly opposite in meaning to the give word in bold letters

13. VANITY
(a) Pride (b) humility (c) conceit (d) Ostentatious
Ans: (b)b

14. MALICIOUS
(a) Kind (b) boastful (c) generous (d) indifferent

In the following two words have certain relationship followed by four pairs of words. Select the pair of words that have similar relationship between them:

15. FILTER :: WATER
(a) Curtail :: Activity
(b) expunge :: book
(c) edit :: text
(d) censor :: play
Ans: (d)

16. CORPOREAL :: SPIRITUAL
(a) Mesa :: Plateau
(b) Moron :: Savant
(c) Foreigner :: Immigrant
(d) Pedagogue :: Teacher
Ans: (b)

17. In one hour a boat goes 11 km along the stream and 5 km against the stream. What is the speed of the boat in still water?
(a) 3 km/hr (b) 5 km/hr (c) 8 km/hr (d) 9 km/hr
Ans: (c)
Speed of boat in still water -> ½ ( Upstream speed + Downstream speed)

18. A fruit seller had some apples. He sells 40% of apples and still has 420 apples. How many apples he had originally?
(a) 588 (b) 600 (c) 672 (d) 700
Ans: (d)
60% of apples remain and equals 420. Hence, 100% the original number
is equal to -> 420 x 10/60 = 700 apples.

19. In a lottery there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
(a) 1/10 (b) 2/5 (c) 2/7 (d) 5/7
Ans: (c)
10C1/35C1 -> 10/35 -> 2/7

20. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can three balls be drawn on condition that there should be at least one black ball in the draw?
(a) 32 (b) 48 (c) 64 (d) 96
Ans: (c)
From 2 white balls, 3 black balls and 4 red balls, 3 balls are to be selected such that
at least one black ball should be there.
Hence we have 3 choices
All three are black
Two are black and one is non- black
One is black and two are non -black
Total number of ways
= 3C3 + (3C2 x 6C1) + (3C1 x 6C2) [because 6 are non- black]
=1+[3×6]+[3×(6×52×1)]=1+18+45=64