APGENCO Trainee Assistant Engineer Jan 2012 Paper

APGENCO Trainee Assistant Engineer Jan 2012 Paper

1) An observer 1.6 m tall is 20*sqrt(3) away from a tower . the angle of elevation from his eye to the top of the tower is 30degrees. the height of the tower is
2) The sum of three digit number and numbers formed by reversing its digits is 989. The sum of its digits is 13. Find the middle digit.
3)ABC is a three digit number, the sum of its digits is 9. if each of BA and BC are two digit numbers such that BA=BC-3, How many values C can take
4) A test contains 50 questions. Each correct answer fetches 1 mark and wrong answer gets 1/2 mark deduction. A candidate who wrote the test attempted all questions and got 41 marks. Find the no.of questions answered correctly
5) When the numerator of a fraction is increased by 7 and denominator is increased by 13, the resulting number is equivalent to the obrained when numerator decreased by 2 and denominator decreased by 11. Sum of the numerator and denominator is 24. Find the fraction
6) Two straight lines can divide a circular disk into a max of 4 parts. How many maximum parts can four straight lines divide a circular disk
7) If (ABCD)a = A*a^3+B*a^2+C*a^1+D*a^0
(8448)9/(2112)9=(y)3
8 ) Five persons namely A,B,C,D and E are to be seated in five out of the six seats numbered 1 to 6. the following table provides information about the serial numbers of the seats on which each of the members can possibly sit.
Names: A B C D E
Seats: 1 2 or 3 2,3 or 4 4 or 5 5 or 6
If one of the seats numbered 2 or 4 is unocuupied. then the number of different ways five mentioned persons can be seated is
9) H1(x)=1-x (0
 H2(x) = -H1(x) for all x,
H3(x) = H2(-x) for all x,
H4(x) = -H3(x) for all x,
How many of the given products are necessarily zero for all values of x
H1(x)*H3(x) , H3(x)*H2(x) , H1(x)*H2(x)
10) In the following diagrams, how many traingles are there
11) The length of the bridge which a train of 130m long and travelling with 45kmph can cross in 30 secs is
12) If PAPER is 11.20 and PENCIL is 9.83 , what is the value of PEN
ans: 11.66, print mistake incase of option
13) What is the sum of all the numbers less than 100 that can written as the sum of 9 consecutive positive integers
14) Identify the odd man out: a)heart b)liver c)nose d)kidneys
15) 18,10,6,4,3,?
16) TOMATO:MTOOTA::123412:?
17) My brother is standing 40m south-west of my sister and I am standing 40m south-east of my brither. I am in which direction of my sister
18) Find the next letters in series: BCZ, DEY, FGX, HIW,…
19) Conscience:Wrong::Police:??
20) A shopkeeper sells one transistor for Rs.840 at a gain of 20% and another for Rs.960 at a loss of 4%. His total loss or gain percent is
21) A boatman goes 2Km against the current of the stream in 1 hour and goes 1Km along the current is 10min. How long will it take to go 5Km in stationary water
22) In how many ways can the letters of the word LEADER can be arranged
23) one pipe can fill a tank three times as fast as another pipe. If together, the two pipes can fill the tank in 36 mins, then the slower pipe alone will be able to fill the tank in
24) If log27=1.431, then the value of log9 is
25) Find the next number in series: 4,7,15,28,58,113,229,?
26) identify the number in the give images inplace of question mark
27) X introduces Y saying: “He is the husband of the grand daughter of the father of myfather”. How is Y related to X
28) Ravi is 7 ranks ahead of Sumit in a class of 39. If Sumit’s rank is 17th from the last. What is Ravi’s rank from the start
29) In a certain code, ‘bi nie pie’ means “some good jokes”;; ‘nie bat lik’ means “some real stories”;; ‘pie lik tol’ means “many good stories”. Which word in the code means ‘jokes’
30) There are five bus stops. A,B,C,D,E at equal intervals. C is not the middle stop and A,E are not terminal stops. C comes twice as many stops before D in upward jpurney as B comes after A. D is the first stop in downward journey. The correct sequence of stops in the downward journey is