3) 13 kigs and 6 libs can produce 510 tors in 10 hrs, 8 kigs and 14 libs can produce 484 tors in 12 hrs.
Find the rate of production of tors for kigs and libs. Express the answer in tors/hr.
4) A fly is there 1 feet below the ceiling right across a wall length is 30m at equal distance from both the ends. There is a spider 1 feet above floor right across the long wall eqidistant from both the ends. If the width of the room is 12m and 12m, what distance is to be travelled by the spider to catch the fly, if it takes the shortest path.
5) A person has his own coach&. Whenever he goes to railway station he takes his coach. One day he was supposed to reach the railway station at 5 O'clock. But he finished his work early and reached at 3 O'clock. Then he rung up his residence and asked to send the coach immediately. He came to know that the coach has left just now to the railway station. He thought that the coach has left just now to the railway station. He thought that he should not waste his time and started moving towards his residence at the speed of 3 miles/hr. On the way, he gets the coach and reaches home at 6 o'clock. How far is his residence from railway station
6) There is 66x33m rectangular area. Ram is 11/8 times faster than Krishna. Both of them started walking at opposite ends and they met at some point then, Ram said "See you in the other end" Then they continued walking. After some time Ram thought he will have tea so he turned back walked back 15 meters then he changed his mind again andcontinued walking. How much Krishna has traveled by the time they meet?
7) A person was going through train from Bombay to Pune. After every five minutes he finds a train coming from opposite direction. Velocity of trains are equal of either direction. If the person reached Pune in one hour then how many trains he saw in the journey
8) A bird keeper has got P pigeon, M mynas and S sparrows. The keeper goes for lunch leaving his assistant to watch the birds. Suppose p=10, m=5, s=8.
a.) When the bird keeper comes back, the assistant informs that x birds have escaped. The bird keeper exclaims oh no! all my sparrows are gone. How many birds flew away.
b.) when the bird keeper come back, the assistant told him that x birds have escaped. The keeper realised that atleast 2 sparrows have escaped. What is minimum no of birds that can escape
9) Select from the five alternatives A,B,C,D,E. At the end of each question, two conditions will be given. The choices are to filled as follows.
A: If a definite conclusion can be drawn from condition 1.
B: If a definite conclusion can be drawn from condition 2.
C: If a definite conclusion can be drawn from condition 1 and 2.
D: If a definite conclusion can be drawn from condition 1 or 2.
E: No conclusion can be drawn using both conditions.
1. Person 1 says N<5
Person 2 says n>5.
Person 3 says 3N>20
Person 4 says 3n>10
Person 5 says N<8.
What is the value of N?
10) . 5 persons R,S,T,U,V are contesting for a medal. Evaluation is over English, Maths, Physics, Chemistry and Hindi. Toper will get 5 marks, least will get 1 mark. No ties any where. R get 24 and won the overall medal. V gets first in Chemistry and third in Hindi, T got consistent scores in 4 subjects. Their final standings where in the alphabetical order. What was the score of S in Chemistry.
11) Persons A and B. Person A picks a random no. from 1 to 1000. Then person B picks a random no. from 1 to 1000. What is the probability of B getting no. greater then what A has picked
12) X^(1/3) - X^(1/9) =60. Solve for X.
13) . a,b,c,d,e are having numerical values. There are some conditions given:-
a) a=c <=== b!=e
b) Difference between a and c as same as difference between c and b as same as difference between a and d.
c) c
d.
Then find a,b,c,d,e.
14) Assume that the twins followed a different set of rules, so that on a given day both told only the truth while next day both only lied, alternating days of truth telling and lying. Under these rules,which of the following conversations would be possible?
a) Twin A : "Today you are a lier"
Twin B : "That is correct"
b) Twin A : "Today you are a lier"
Twin B : "That is not so"
c) Twin A : "Tommorow we will be liers"
Twin B : "Yesterday we were truthtellers"
d) Twin A : "Tommorow we will be liers"
Twin B : "You are 1 year older than I am"
e) Twin A : "We always tell the truth"
Twin B : "We some times tell the truth".
15) . If the twins are heard saying the following on the same day, which choice presents a correct statement ?
Twin A : "It is Sunday Today"
Twin B : "Yesterday was Sunday"
Twin A : "it is summer season now"
a) it is a summer sunday.
b) it is a summer monday.
c) it is Monday but not summer.
d) it is Sunday but not summer.
e) it is impossible to determine whether it is Sunday or Monday
16) . According to the information presented, which of the following conversations will be impossible.
a)Twin A : "Today you are a lier"
Twin B : "You are telling the truth"
b)Twin A : "Today you are a lier"
Twin B : "Today I am a truth teller"
c)Twin A : "Tommorow I shall be a lier"
Twin B : "That's correct"
d)Twin A : "Tommorow you will be a lier"
Twin B : "Today you are a truthteller"
e)Twin A : "Yesterday we were both truthtellers"
Twin B : "You are lying".
17) There are some bulbs,which are numbered from 1 to 100.all the bulbs are in on conditions. The following operations are performed:-
1. Those bulbs number which are divisible by 2 are switched OFF.
2. Those bulbs numbered which are divisible by 3 are switched ON (which are already OFF) and OFF bulbs are switched ON.
3. Similarly bulbs numbers divisible by 4 are either switched ON or OFF depending upon there previous condition
4. This procedure is adopted till 100th bulb.
At the end there were how many bulbs which were in ON condition?
Ans: 10 ( only perfect squares ). (plz say the procedure)
18) There are different numbers related with A,B,C,D,E.such that, AB*CD=EEE. E*CD-AB=CC.
Find AB*D.
Ans: BE.
19) . An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating. ANS. 150.
(give me the procedure)
20) Two people X & Y walk on the wall of a godown in opposite direction.
They meet at a point on one side and then go ahead. X after walking for some time,
walks in opposite direction for 15 mtrs.Then again he turns back and walks
in the original direction. What distance did Y walk before they met again,
if X walks 11 mtrs by the time Y walks
8 mtrs.
21) A hill of 440 yards is there. Two competitors JACK and JILL go up the hill, first JACK reaches the topmost and immediatly starts back and meet JILL 20 yards from the topmost point. Finally JACK reaches the starting point 0.5 minutes earler than JILL. Speed while coming down is 1.5 times the speed of going up. Find the time taken by JACK for whole journey (880 yards)?
Ans: 6.3 minutes(give me procedure)
22) How many bearers will an explorer need for a 6 day march if each man can carry the food stuff of one man for 4 days.
23) A coin is so unbalanced that it may come both heads in 2 tosses as it may come tails in a single toss. What is the probabality of getting a head in a single toss
24) A gardener plants 100 meters towards east, next 100 meters towards north,next 100 meters towards west. 98 meters towards east, 96 meters towards north and 96 meters towards west, 94 meters towards south. and 94 meters towards east and so on. If a person walks between the trees what is the total distance travelled by him before he reaches the center.
25) Each alphabet stands for one digit in the following multiplication.
T H I S
x I S
---------
X F X X
X X U X
------------
X X N X X
------------
What is the maximum value T can take?
26) A train blows a siren one hour after starting from the station. After that it travels at 3/5th of its speed it reaches the next station 2 hours behind schedule. If it had a problem 50 miles farther from the previous case,it would have reached 40 minutes sooner. Find the distance between the two stations
27) An army 50 miles long marches at a constant rate. A courier standing at the rear moves forward and delivers the message to the first person and then turns back and reaches the rear of the army as the army completes 50 miles. Find the distance travelled by the courier
28) . When the actual time pass 1 hr, wall clock is 10 min behind it. When 1 hr is shown by wall clock, table clock shows 10 min ahead of 1 hr. When table clock shows 1 hr, the alarm clock goes 5 min behind it. When alarm clock goes 1 hr, wrist watch is 5 min ahead of it. Assuming that all clocks are correct with actual time at 12 noon, what will be time shown by wrist watch after 6 hr?
Ans: 5:47:32.5 (n X 60 )50/60 X 70/60 X 55/60 X 65/60.
29) . Answer the questions from facts:-
The members of certain tribe are divided into 3 casts abhor, dravid amp; magar.
1. An abhor woman can't marry dravid man.
2. A magar woman can't marry a dravid man.
3. A son takes the caste of his father and a daughter takes caste of her mother.
5. All marriages except those mentioned, are not permitted.
6. There are no children born out of a wedlock.
30) Write each statement as true or false.
8 Marks
1. The sum of the first three statements and the second false statement gives the true statement.
2. The no. of true statements > No. of false statements.
3. The sum of second true statement and first false statement gives the first true statement.
4. There are atmost 3 false statements.
5. There are no two consequtive true statements.
31) In a four team foot-ball tournament, all the teams played each Other in three rounds of matches as shown in the Table - A. Some of The results of the tournament are shown in the
Table - B. Using the Clues given below, please fill in the blank columns in the result Table - B (Goals for & Goals Against?).
Note : Two points for win, one point for draw & zero points for defeat are awarded.
Clues :
1. East zone won the tournament despite scoring one less goal than the runners-up.
2. North zone scored an odd number of goals in their first round Game.
3. South zone, who failed to score in their final match, were beaten by a two-goal margin in the first round.
4. East zone lost their match aginst west zone.
5. All four teams scored goals in the second round matches.
6. West zone scored the same number of goals against east zone as North zone scored aginst them.
East zone scored four goals in round two match.
Table - A (Matches Played)
Round 1
North zone vs South zone
West zone vs east zone.
Round 2
South zone vs West zone
East zone vs North zone
Round 3
South zone vs East zone
West zone vs North zone.
Table - B (Results)
Played Won Draw Lost Golas For Goals Against Points
East Zone 3 - - - ? 3 4
North Zone 3 - - - ? ? 4
West Zone 3 - - - 4 3 3
South Zone 3 - - - 2 5 1
32) . Following services are operated by Asian airlines between the two are located in different countries with different time zones. As it is normally done, the time shown is the local time - viz IST & TST.
Regular Flight Supersonic Flight
Arrive Alexandria 17:10 TST 15:40 TST
Depart Alexandria 20:50 TST 22:50 TST
Arrived Rampur 23:40 IST
Is the arrival time of supersonic flight into Rampur from Alexandria same as the Arrival time of the Regular flight, assuming each Service - Regular and Supersonic maintains its own constant speed of flight.
33) There are six cards, in which, it has two king cards. All cards are turned down and two cards are opened.
a) What is the possibility to get at least one king?
b) What is the possibility to get two kings?
34) There are 3 nurses and they work altogether only once in a week. No nurse is called to work for 3 consecutive days.
Nurse 1 is off on tueseday, thursday and sunday. Nurse 2 is off on saturday. Nurse 3 is off on thursday, sunday.
No two nurses are off more than once a week. Find the day on which all the 3 nurses were on work
35) . There are two women, kavitha and shamili and two males shyam, aravind who are musicians. Out of these four one is a pianist, one flutist, violinist and drummer.
i) Across aravind beats pianist.
ii) Across shyam is not a flutist.
iii) Kavitha's left is a pianist.
iv) Shamili's left is not a drummer. v) Flutist and drummer are married.
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