MARKS: 50
1>. Rohit can catch either the
harbour line train or main line train from his nearest
railway station kandala to reach his office. Both the
trains have a frequency of 10 min. In the morning
office Hours. The harbour line trains arrive evary 10
min. Starting from 5:00 a.m and the main line trains
arrive at every 10 min. Starting from 5:02a.m.
2>. In a certain department
store the position of Buyer, Cashier, Clerk,
Floorwalkar & Manager are held, though not
necessarily respectively, by Evans, Ames, Conroy,
Davis amp; Buyer. The cashier & the manager were
roommates in college. The Buyer is bachelor, Evans
& Miss Ames have only business contacts with each
other. Mrs. Conroy was greatly dosappointed when her
husband told her that the manager had refuged to give
him a raise. Davis is going to be the best man when
the clerk & the cashier are married. What position
does each person held?
3>. Tanveer and Kunal went down
a descending escalator. The escalator was going down
at a contant speed. Kunal walked down the steps and
had to cover 50 steps to reach the bottom. Tanveer on
the other hand, ran down the steps of the escalator
and hence had to take 75 steps to reach The bottom.
Actually, Tanveer took 3 steps in the same time, it
took Kunal to take 1 step. How many steps would be
visible when the escalator is stopped and not
operating?
4>. 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 :
- East zone won the tournament despite scoring one
less goal than the runners-up.
- North zone scored an odd number of goals in
their first round Game.
- South zone, who failed to score in their final
match, were beaten by a two-goal margin in the
first round.
- East zone lost their match aginst west zone.
- All four teams scored goals in the second round
matches.
- 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
5>. At six o'clock the wall
clock struck 6 times. Checking with my Watch, I
noticed that the time between the first & last
strokes was 30 Seconds. How long will the clock
take to stike 12 at mid night?
Ans: 66
Seconds.
6>. Please answer the
questions with reference to the facts given
below:-
8 Marks
1. The members of a certain
tribe are divided into three castes:-
Abhor, Dravid , & Magar castes.
2. An abhor women cannot marry a dravid man.
3. A magar man cannot marry a dravid women.
4. A son takes the caste of his father, a daughter
takes the caste of her mother.
5. All marriages except those mentiond above are
permitted.
6. There are no children born out of wed-lock.
Questions:-
1) An abhor woman marries and
has three children, all of whom are Members.
i) If she were to be married to
a magar man, they have no males.
ii) If she were to be married
to abhor man, they may have Male child.
iii) If her fourth child is
male, he may be a dravid.
a) i only
b) iii only
c) i & ii only
d) ii & iii only
e) i , ii & iii
2) It can be inferred from the
condition described that a magar man
i) cannot have a dravid grand
mother.
ii) Cannot have a dravid
mother.
iii) May have a abhor mother.
a) i only
b) ii only
c) i & ii only
d) ii & iii only
e) i , ii & iii
3) When two dravids are
married, it is impossible for them to have
i) Any female abhor
descendents.
ii) An abhor great-grand
daughter.
iii) An abhor grand daughter.
a)i only
b) iii only
c) i & ii only
d) ii & iii only
e) i, ii & iii
4) An abhor woman
a) Can have a dravid grandson.
b) Cannot have a magar son.
c) Cannot have a magar grand son.
d) Can have a magar daughter-in-law.
e) Cannot have a dravid grand daughter.
7>. In certain community,
there are thousand married couples. Two thirds of
the husbands who are taller than their wives are
also heavier and three quarters of the husbands
who are heavier than their wives are also taller.
If there are 120 wives who are taller and heavier
than their husbands, how many husbands are taller
and heavier than their wives?
2 Marks
8>. Both the Guptas and
Sinhas have two young sons, whose ages are under
Eleven. The names of the boys, whose ages rounded
off to the nearest year are all different, are
Rajesh, Praveen, Lalith and Prathap. Taking the
ages of the boys only to the nearest year, the
following statements are true:-
Rajesh is three years younger
than his brother is.
Praveen is the oldest.
Prathap is 5 years older than the younger Sinha's
boy.
Lalith is half as old as one of the Guptha's boys.
The total ages of the boys in each family differ
by the same amount today as they did five years
ago.
7 Marks
9>. A long Division
Problem:-
7 Marks
xx)xxxxxxxxx(xxxxxxx
xx
------
xxx
xx
------
xxx
xx
-------
xx
xx
-------
xxx
xxx
-------
-------
In the complete solution, there
are four 5's. Find the missing digits.
10>. 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.
Note:
Don't answer for all the puzzules. 8 are the safe
one.