APTITUDE TEST - 1

1 to 10 – One mark each:
1) N trains ply between Chennai and Hyderabad. A person can go from Chennai to Hyderabad by a train and return by a different train in a total of 210 ways. Find N.
a) 30 b) 28 c) 14 d) 15

2) Find the roots of equation y^2- 17y + 160 = 12y -8
a) -21,8 b) 21,8 c) -21,-8 d)21,-8

3) Barat wanted to find ( 13/17 )th of a number. By mistake he found ( 17/13 )th of it. A possible value of the excess of his result over the correct result is (the excess value obtained is an integer)
a) 60 b) 180 c) 240 d) None of these

4) Two unbiased dice were rolled together. Find the probability of the sum of the numbers on them being a two
digit prime number
a) 1/9 b) 1/12 c) 1/18 d) 1/6

5) A triangle whose vertices are ( -a, b ), (-b, -a) and (a,-b) must be
a) Isosceles b) isosceles and right angled c) equilateral d) right angled

6) A five digit number is formed by using the digits 1,2,3,4 and 5 without repetitions. What is probability that the number is divisible by 4?
a) 1/5 b) 5/6 c) 4/5 d) none of these

7) If the eight digit number N = 635a432b is divisible by 36, Find the number of possible values of N
a) 2 b) 3 c) 5 d) none of these

8) For which of the following ranges of x, is the inequality
{x( x+1 )(x + 3)/( x-4 )}>0, necessarily false
a) -3 < x < -1 b) -1 < x < 0 c) x> 4 d) -3< x < 0

9) a, b, and c are 3 real numbers satisfying the following conditions.
a+b+c=8, a^2+b^2+c^2= 38. Find ( ab + bc + ca ).
a) 13 b) -1 c) -13 d) 1

10) If a + b = 30 and ab = 176 , find a^3+b^3=?
a) 10160 b) 11060 c) 11160 d) none of the above

11 to 20 , each carry 2 mark:

11) In a class , there are 50 students among them, 38 students like at most one of chess and carom and 32students like at least one of chess and carom. Find the number of students who like exactly one of these two games.
a) 15 b) 25 c)30 d)20

12)In a certain university , there were eight foreign nationals. At the end of their stay at the university they decided to have a photograph. 3 of them were Kenyans, 4 of them Zambians, 1 of them was Ethiopian. Students of the same country decided to stand together for the photograph, which had all students in a single row. In how
many different ways could they have stood for it?
a) 864 b)768 c)576 d)648

13) Padma borrowed a sum at 4.5% p. a simple interest. She managed to repay it in two years and 4 months. If the amount she repaid was Rs 3,97,800 , find the sum ( in Rs Lakh) she borrowed.
a) 3.75 b) 3.6 c) 3.45 d) 3.3

14) A cube of 3 m edge was cut into small cubes with each smaller cube having an edge of 60 cm. If it was cut into small cubes with each having an edge of 50 cm instead, how many more small cubes would have been formed?
a) 91 b) 87 c) 93 d) 97

15) (p^5)=(q^4)=(r^3)=(s^2)=t
Find log( pqrs / t) {the base of log is t}
a) 17/60 b) 23/60 c)43/60 d)7/60

Answers for 16 to 20 based on the information given below:

In a zoo, 12 animals, Elephant, wolf, deer , bear , gorilla, Tiger, Antelope, Giraffe, Lion, Chimpanzee,Horse and zebra are locked in 12 different cages from
1 to 12(not necessarily in that order. These cages are on either side of a path. Cages 1 to 6 are on the left side of the path and cages 7 to 12 are on the
rightside of the path. Cage 1 is opposite cage 7, cage 2 is opposite cage 8 and
so on. The arrangement of the animals is as follows.
1) The elephant is in the cage 1 and is diagonally opposite the wolf which is opposite to the chimpanzee.
2) The bear is opposite the giraffe which is exactly in between the gorilla and the Antelope.
3) The deer is opposite the lion which is exactly in between the wolf and the tiger.
4) The horse is diagonally opposite the chimpanzee.

16) If the tiger is not opposite the gorilla, then which animal is adjacent to the elephant?
a) Antelope b) horse c) gorilla d) deer

17) In how many ways can the animals be arranged in the cage?
a) One b) two c) three d) four

18) Which animal is exactly in between the giraffe and the deer?
a) Antelope b) Giraffe c) Gorilla d) cannot be determined

19) If zebra is opposite Antelope, then which animal is between Gorilla and chimpanzee?
a) Antelope b) lion c) deer d) cannot be determined
20) The animal in between bear and lion is
a) Zebra b) deer c) tiger d) none of these

VERBAL SECTION:

21 to 30 Each one mark:
21) Potentate is to monarch as quisling is to
a) sybarite b) panhandler c)renegade d)pagan

22) Find the odd one out
a) Quisling – jingoistic b)aficionado—disinterested c)Charlatan—honest
d)stoic—equanimous

23) Find the odd one out
a) Labyrinthine – maze b)asinine – moron
c) supple – convertible d)opprobrious –invective

24) Select the idiom which means: “deeply affected and upset by something”
a) take heart b) heart and soul
c) wear your heart on your sleeve d) take it to heart

25) The meaning of the idiom: ” let the genie out of the bottle “
a) make known a secret, without realizing what you are doing
b) to act according to what you feel rather than what is sensible
c) to allow something bad to happen which cannot then be stopped
d) none of these

26) Pick the option where the word GOODNESS is incorrect or inappropriate
a) For goodness' sake, stop fighting!
b) His essential goodness makes people want to help him.
c) This restaurant is going to remain closed for goodness knows how long.
d) Every body acknowledges the goodness in milk

27 to 30 ) Find the synonyms:

27)TO DISPEL
a) to dissipate b) to dissent c) to distort d) to disfigure

28) ACUMEN
a) exactness b) potential c) shrewdness d) bluntness