1) If one-seventh of a number exceeds its eleventh part by
100 then the number is…
Options:
(i) 770
(ii) 1100
(iii) 1825
(iv) 1925
Answer: (iv) 1925
Solution: Let the
number be x. Then X/7 - x/11 =100 11x-7x = 7700 x=1925.
2) The ratio of Rita's age to her mother's age is 3:8. The
difference of their ages is
35 years. The ratio of their ages after 4 years will be:
Options:
(i) 7:12
(ii) 5:12
(iii) 38:43
(iv) 42:47
Answer: (ii) 5:12
Solution:
Let their ages be 3x and 8x
8x - 3x =35
x =7
Their present ages are 21 and 56 years.
Ratio of their ages after 4 years are 25:60 = 5:12
3) A tap can fill the tank in 15 minutes and another can
empty it in 8 minutes. If the tank
is already half full and both the taps are opened together,
the tank will be:
Options:
(i) filled in 12 min
(iii) emptied in 12
min
(iv) filled in 8 min
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(v) emptied in 8 min
Answer: 8 minutes
Solution:
Rate of waste pipe
being more the tank
will be emptied when
both taps are
opened.
Net emptying work done in 1min = (1/8 -1/16) = 1/16
So full tank will be emptied in 16 min
Half tank will be emptied in 8 minutes.
4) A man can row 5 kmph in still water. If the river is
running at 1kmph, it takes him
75 minutes to row to a place and back. How far is the place?
Options:
(i) 3km
(ii) 2.5 km
(iii) 4 km
(iv) 5 km
Answer: 3 Km
Solution:
Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream =
(5-1)km/hr = 4 km/hr
Let the required distance be x km x/6 + x/4 = 75/60 2x+3x =
15 x = 3km
5) If log 0.317=0.3332 and
log 0.318=0.3364 then find log 0.319?
Options:
(i)0.3396
(ii)0.3369
(iii)0.3368
(iv)0.3338
Answer: 0.3396
Solution: log 0.317=0.3332 and log 0.318=0.3364,
then log 0.319=log0.318+(log(0.318-0.317)) =
0.3396Questions/Articles Extracted From www.CareersValley.com
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6) In a hotel, rooms are numbered from 101 to 550. A room is
chosen at random.
What is the probability that room number starts with 1, 2 or
3 and ends with 4, 5 or 6?
Answer
There are total 450 rooms.
Out of which 299 room number starts with either 1, 2 or 3.
(as room number
100 is not there) Now out of those 299 rooms only 90 room
numbers end with
4, 5 or 6.So the probability is 90/450 i.e. 1/5 or
0.20.
7) Difference between Bholu's and Molu's age is 2 years and
the difference between
Molu's and Kolu's age is 5 years. What is the maximum
possible value of the sum of
the difference in their ages, taken two at a time?
Answer
The maximum possible value of the sum of the difference in
their ages - taken two at a
time - is 14 years.
8) A 31" x 31" square metal plate needs to be
fixed by a carpenter on to a wooden
board. The carpenter uses nails all along the edges of the
square such that there are 32
nails on each side of the square. Each nail is at the same
distance from the
neighbouring nails. How many nails does the carpenter use?
Solution: 32*2 + 30*2=124
9) It was vacation time, and so I decided to visit my
cousin's home. What a grand time
we had! In the mornings, we both would go for a jog. The
evenings were spent on the
tennis court. Tiring as these activities were, we could
manage only one per day, i.e.,
either we went for a jog or played tennis each day. There
were days when we felt lazy
and stayed home all day long. Now, there were 12 mornings
when we did nothing, 18
evenings when we stayed at home, and a total of 14 days when
we jogged or played
tennis. For how many days did I stay at my cousin's place?
Solution:
Use sets and Venn diagram to solve such questions. a, b ,aυb, anb etc.
12=tennis+leave
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18=jog+leave so jog-tennis=6
again jog+tennis=14. So solve and get jog=10,leave=8,tennis=4. so tot=22
10) How many even integers n, where, are divisible neither
by seven nor by nine?
Solution:
There are 101 integers in
all, of which 51 are even. From 100 to 200, there are 14
multiples of 7, of which 7 are even. There are 11 multiples of 9, of which 6 are even.
But there is one integer (i.e. 126) that is a multiple of
both 7 and 9 and also even. Hence
the answer is (51 – 7 – 6 + 1) = 39
11) Four persons A, B, C and D are playing cards. Each
person has one card, laid
down on the table below him, which has two different colours
on either side.
No card has the same color on both sides. The colours
visible on the table are Red,
Green, Red and Blue respectively. They see the color on the
reverse side and give
the following comment.
A: Yellow or
Green
B: Neither Blue nor Green
C: Blue or Yellow
D: Blue or Yellow
Given that out of the 4 people 2 always lie find out the colours on the cards each
person.
ANSWER:
Try all possible combinations. Keep in mind two things. THE
combination obtained
Should satisfy the conditions
1. Two are lying and two are telling the truth
2. Neither two cards are similar nor are two sides of a card
are of same color
A YELLOW
B YELLOW
C GREENQuestions/Articles Extracted From
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D RED
12) Four tourists A,B,C,D and four languages English,
German, French and Italian.
They are not able to converse among themselves in one
language. Though A does
not know English he can act as an interpreter between B and
C. No one spoke both
French and German. A knows German and was able to converse
with D who doesn’t
know a word in German. Only one language was spoken by more
than two persons.
Each spoke two languages. Find who spoke what.
ANSWER:
A B C D
GERMAN FRENCH GERMAN ITALIAN
ITALIAN ITALIAN ENGLISH ENGLISH
13) Grass in lawn grows equally thick and in a uniform rate.
It takes 40 days for 40
cows and 60 days for 30 cows to eat the whole of the grass.
How many days does it
take for 20 cows to do the same?
ANSWER:
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat
the grass in 96 days
g + 40*r = 40 * 40 * y------- 1
g + 60*r = 30 * 60 * y------- 2
g + n*r = 20 * n *
y-------- 3
from 1 and 2
r=10y g=120r
from 3 Questions/Articles Extracted From
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nr=120r
Solving, n = 120
14) Lucia is a wonderful grandmother. Her age is between 50
and 70.Each of her sons
has as many sons as they have brothers. Their combined
number gives Lucia’s age.
What is the age?
ANSWER
Let the no. of Lucia’s sons = n
No. of brothers for each son = n-1
No. of sons for each of
Lucia’s son = n-1
Lucia’s age = n-1 *
n-1
= a perfect square between 50 and 70
= 64
15) Gold is 19 times as heavy as water and copper is 9 times
as heavy as water. In what
ratio should these be mixed to get an alloy 15 times as
heavy as water?
Options:
(i) 1:1
(ii) 2:3
(iii) 1:2
(iv) 3:2
Solution:
Let 1gm of gold be mixed with x gm of copper to give (1+x)gm
of the alloy.
1G=19W, 1C = 9W and alloy = 15W 1gm gold + x
16) What is not a part of OS?
Options:
a) swapper
b) compiler
c) device driver
d) file system Questions/Articles Extracted From
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Page 55
Answer is compiler
17) Which is the protocol used by PING?
Options:
a)ICMP
b)HTTP
c)SMTP
d)RTSP
Answer is ICMP
