In a watch, the
minute hand crosses the hour hand for the third time exactly after every
3 hrs 18 min 15 seconds of watch time. What is the time gained or lost
by this watch in one day?
In a correctly running watch, the crossing of hands should take place exactly after every (720/11) minutes. In this watch it takes after (3 hrs 18 min 15 seconds)/3 = 1 hour 6 min 5 sec = 66 (5/60) minutes of watch time. so, this watch loses time = 720/11 - [66 (5/60)] => 83/132 minutes in (720/11) minutes. so, in 1 day i.e 24* 60 minutes it will lose 83/6 minutes i.e. 13 min 50 second.
Q. No. :
2
Question :
Two trains, 200 and
160 meters long take a minute to cross each other while traveling in
the same direction and take only 10 seconds when they cross in opposite
directions. What are the speeds at which the trains are traveling?
When the trains are moving in same direction (200+160)=(V1-V2)*60 When the trains are moving in opposite direction (200+160)=(v1+v2)*10 Equating we get v1=21m/s and v2=15m/s
Q. No. :
3
Question :
Two trains are 2
kms apart. Speed of one train is 20m/s and the other train is running at
30 m/s. Lengths of the trains are 200 and 300m. In how much time do the
trains cross each other?
A :
35 sec
B :
40 sec
C :
50 sec
D :
60 sec
Answer: C
Q. No. :
4
Question :
A, B and C can do a
work in 5 days, 10 days and 15 days respectively. They started together
to do the work but after 2 days A and B left. C did the remaining work
(in days)
A :
1
B :
3
C :
4
D :
5
Answer: C
Q. No. :
5
Question :
if the ratio of work done by (x-1) men in (x+1)days to the work done by (x+2)men in (x-1)days is 9:10, then x is equal to
A :
5
B :
6
C :
7
D :
8
Answer: D
Q. No. :
6
Question :
At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour, which of the following represents the speed of
the faster train, in miles per hour?
Let x be the speed of faster train then speed of slower train = x-6 As they are moving towards each other , Relative speed=x+x-6=2x-6 Distance covered=287miles Time=3hr 30 min by Distance/speed=time 287/(2x-6)=3.5 x=44mph
Q. No. :
7
Question :
A closed wooden box
of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is
panted on the inside. The cost of painting is Rs 70. What is the rate
of painting in rupees per sq. cm?
A :
0.7
B :
0.5
C :
0.1
D :
0.2
Answer: C
Q. No. :
8
Question :
A can complete a
project in 20 days and B can complete the same project in 30 days. If A
and B start working on the project together and A quits 10 days before
the project is completed, in how many days will the project be
completed?
Let work is completed in x days then A worked for x-10 days and B worked for x days (x-10)/20+x/30=1 x=18days
Q. No. :
9
Question :
I am facing west. I
turn 45° in the clockwise direction and then 180° in same direction and
then 270° anticlockwise. Which direction am I facing now?
A :
South-west
B :
South
C :
West
D :
North-West
Answer: A
Q. No. :
10
Question :
A student gets an
aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6.
If the passing marks are 50% of the maximum marks and each subjects has
the same maximum marks, in how many subjects did he pass the exam?
Take the maximum marks in each subject is 100. So qualifying mark is 50. On a total that fellow gets 60 x 5= 300. We can write (10+9+8+7+6)a=300 => a=15/2 In 5 subjects he gets 75,67.5,60,52.5,45. He passes in 4 subjects.
Q. No. :
11
Question :
There are 4 boys and 3 girls. What is the probability the boys and girls sit alternately?
A :
1/42
B :
1/35
C :
1/28
D :
1/12
Answer: B
Q. No. :
12
Question :
Four friends were
playing a game of cards sitting in a circle. Shankar was right to Ram
and Gopal was left to Arvind. Which one of the following pairs were
partners?
If the price of
gold increases by 30%, find by how much the quantity of ornaments must
be reduced so that the expenditure may remain the same as before?
A :
30%
B :
300/13 %
C :
22%
D :
19%
Answer: B
Q. No. :
14
Question :
A boy goes to see a film and finds a man who is his relative. The man is the husband of the sister of his mother. How is the man related to the boy?
A :
Brother
B :
Uncle
C :
Nephew
D :
None of these
Answer: B
Q. No. :
15
Question :
The price of petrol is increased by 10%. By how much percent the consumption be reduced so that the expenditure remains the same?
A :
8
B :
7
C :
10
D :
9
Answer: D
Q. No. :
16
Question :
The average weight
of a class of 24 students is 36 kgs. When the weight of the teacher is
also included, the average weight increases by 1kg. What is the weight
of the teacher?
Let x be the weight of teacher (24*36+x)/25-36=1 864+x=37*25 x=61
Q. No. :
17
Question :
The average of X successive natural number is N. If the next natural number is included in the group, the average increases by
A :
depend on X
B :
depend on the starting number of series
C :
both (1) and (2)
D :
1/2
Answer: D
Q. No. :
18
Question :
A cube of side 12
cm is painted red on all the faces and then cut into smaller cubes, each
of side 3 cm. What is the total number of smaller cubes having none of
their faces painted?
A :
16
B :
8
C :
12
D :
24
Answer: B
Q. No. :
19
Question :
The price of sugar increases by 20%, by what % should a housewife reduce the consumption of
sugar so that expenditure on sugar can be same as before ?
let the initial price be Rs x. Final price = 1.2 x. Initial consumption = p Final consumption = k Thus, x*p = 1.2x*k => k = 5p/6% reduction in consumption = (p-5p/6)/p * 100 = 100/6 = 16.66%.
Q. No. :
20
Question :
If log 2 = 0. 3010, then find how many digits are contained in the number 256
Replacing symbols we get, 23x3+14÷2-13 69+7-13= 63
Q. No. :
22
Question :
Four concentric ( having the same center ) circles with radii, x, 2x, 3x and 4x are drawn to form two rings A and B as shown in the figure.
Ratio of the area of inner ring A to the area of outer ring B is
In 15 days 1/3 food is taken and 2/3 remained. Now only 75 soldiers are there. If there would be 175 solders the food will last for 30 more days. For 75 soldiers the food will last = 30 * 175/75 = 70 more days
Q. No. :
25
Question :
Which of the following will come in place of the Question Mark (?) in the following sequence?6C7, 5F10, 11J14, 15O19, ?
If Ramola ranks 14th in a class of 26, what is her rank from the last?
A :
12
B :
13
C :
14
D :
15
Answer: B
Q. No. :
27
Question :
The average age of 8
persons in a committee is increased by 2 years when two men aged 35
years and 45 years are substituted by two women. The average age of
these two women is:
A :
52 years
B :
56 years
C :
48 years
D :
44 years
Answer: C
Q. No. :
28
Question :
The price of a
Maruti car rises by 30% while the sales of the car came down by 20%.
What is the percent change in the total revenue?
New revenue = 1.04xy Old revenue xy Percentage Increase 4% Ans
Q. No. :
29
Question :
In an organization of pollution control board, engineers are represented by a circle, legal experts by a square and environmentalist by a triangle. Who is most represented in the board as shown in the following figure ?
A :
Environmentalists
B :
Legal Experts
C :
Engineers with legal background
D :
Environmentalists with Engineering background
Answer: D
Q. No. :
30
Question :
A can do a piece of
work in 36 days, B in 54 days and C in 72 days. All of them began
together but A left 8 days and B left 12 days before the completion of
the work. How many days in all did C put in till the entire work was finished?
Let work gets completed in x days then A worked for x-8 days then B worked for x-12 days then C worked for x days (x-8)/36+(x-12)/54+x/72=1 x=24
Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-- A, B and C, and each candidate should serve on exactly one of the committees.Committee A should consist of exactly one member more than committee B.
It is possible that there are no members of committee C.
Among Z, Y and X none can serve on committee A.
Among W, V and U none can serve on committee B.
Among T, S and R none can serve on committee C.
Q. No. :
31
Question :
In case T and Z are the individuals serving on committee B, how many of the nine individuals should serve on committee C?
A :
3
B :
4
C :
5
D :
6
Answer: B
Q. No. :
32
Question :
Of the nine individuals, the largest number that can serve together on committee C is
A :
5
B :
6
C :
7
D :
8
Answer: B
Q. No. :
33
Question :
In case R is the only individual serving on committee B, which among the following should serve on committee A?
A :
W and S
B :
V and U
C :
V and T
D :
T and S
Answer: D
Q. No. :
34
Question :
In case any of the
nine individuals serves on committee C, which among the following should
be the candidate to serve on committee A?
A :
Z
B :
Y
C :
W
D :
T
Answer: C
Q. No. :
35
Question :
In case T, S and X are the only individuals serving on committee B, the total membership of committee C should be:
A :
Z and Y
B :
Z and W
C :
Y and V
D :
X and V
Answer: A
These question are based on the following information:-
Ten candidates appear for an interview and six of them are selected. There are two M.A's , two MBA's, two MCA's and four Btech among the candidates. If at least one MBA candidate is selected, then exactly two Btech candidates must be selected, and vice versa. Of the six selected candidates, exactly one must be an MA candidate.
Q. No. :
36
Question :
Which of the following statements is definitely TRUE, if two Btech candidates are selected?
A :
Two MCA's and two MA's are selected
B :
Only two MBA's and only one MCA's are selected.
C :
One MBA and two MAs are selected
D :
Two MBA's are selected
Answer: D
Q. No. :
37
Question :
If two MCA candidates are selected then which of the following statements can be TRUE?
A :
Only one MBA and one Btech candidates are selected.
B :
Three Btech candidates are selected
C :
Only one MBA and two Btech candidates are selected
D :
One MA and three Btech candidates are selected
Answer: C
Q. No. :
38
Question :
Which of the following statements is definitely FALSE?
A :
If four Btech candidates are selected then two MBA candidates must be selected
B :
One MA candidate, one MBA candidate and two MCA candidates can be selected
C :
One MA candidate, one MBA candidate ,two MCA's and two Btech's is a possible combination of selection.
D :
More than one of the above.
Answer: A
Q. No. :
39
Question :
Which of the following statements, if TRUE, will make the selection of six candidates impossible?
A :
Two MBA's are selected
B :
Two MCA's are selected
C :
Two Btech's are selected
D :
No MCA is selected.
Answer: D
Q. No. :
40
Question :
If only one MBA candidate is selected, then which of the following is definitely TRUE?
A :
Only one Btech is selected
B :
Two MCA must be selected
C :
No Btech must be selected
D :
Two MCA's need not be selected
Answer: B
Refer to the data below and answer the questions that follows.
All the roads of city Z are either perpendicular or parallel to one another. The roads are all straight. Road, A, B, C, D and E are parallel to one another. Roads G, H, I, H, J, K, L and M are parallel to one another.
i. Road A is 1 mile east of road B
ii. Road B is 1/2 mile west of C.
iii. Road D is 1 mile west of E.
iv. Road G is 1/2 mile south of H.
v. Road I is 1 mile north of J
vi. Road K is 1/2 mile north of L.
vii. Road K is 1 mile south of M
Q. No. :
41
Question :
Which of the following statements is necessarily true?
A :
I is 1 mile north of L
B :
D is 2 miles west of B
C :
E and B intersect
D :
M is 1.5 miles north of L
Answer: D
Q. No. :
42
Question :
If E is midway between B and C, then which of the following statement is false?
A :
D is less than 1 mile from B.
B :
C is less than 1.5 miles from D.
C :
Distance from E to B added to distance of E to C is 1/2 mile.
D :
D is 2 miles west of A
Answer: D
Q. No. :
43
Question :
Which of the following possibilities would make two roads coincide?
A :
L is 1/2 mile north of I
B :
D is 1/2 mile east of A
C :
I is 1/2 mile north of K
D :
C is 1 mile west of D
Answer: C
Q. No. :
44
Question :
If X is parallel to I & X is 1/2 mile south of J & I north of G, then which road would be 1/2 mile apart?
A :
I and X
B :
X and H
C :
J and G
D :
J and H
Answer: B
Q. No. :
45
Question :
If road E is midway between B and C, then the distance between A and D is
A :
1/2 mile
B :
1 mile
C :
1.75 miles
D :
2.5 miles
Answer: C
Answer the questions on the basis of the information given below.
Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.
Q. No. :
46
Question :
Which of the following cannot be seated at either end?
A :
C
B :
D
C :
F
D :
G
Answer: C
Q. No. :
47
Question :
Which of the following pairs cannot be seated together?
A :
B and D
B :
C and F
C :
D and G
D :
E and A
Answer: D
Q. No. :
48
Question :
Which of the following pairs cannot occupy the seats on either side of B?
A :
F and D
B :
E and G
C :
D and E
D :
C and F
Answer: B
Follow the directions given below to answer the questions that follow.
Seven instructors - J, K, L, M, N, P and Q – teach management courses at a premier institute in east India. Each instructor teaches during exactly one term: the first term, the second term, or the third term. The following conditions apply:
K teaches during the third term.
L and M teach during the same term.
Q teaches during either the first term or the second term.
Exactly twice as many instructors teach during the third term as teach during the first
term. N and Q teach during different terms.
J and P teach during different terms.
Q. No. :
49
Question :
Which one of the following could be an accurate matching of instructors to terms?
A :
M: the first term; P: the second term; Q: the first term
B :
J: the third term; L: the third term; P: the third term
C :
L: the first term; N: the second term; P: the third term
D :
J: the first term; M: the third term; N: the second term
Answer: D
Q. No. :
50
Question :
Which one of the following cannot be true?
A :
L teaches during the first term
B :
M teaches during the second term
C :
M teaches during the third term
D :
N teaches during the second term
Answer: A
Q. No. :
51
Question :
If exactly one instructor teaches during the second term, which one of the following must be true?
A :
J teaches during the third term
B :
L teaches during the first term
C :
M teaches during the third term
D :
P teaches during the second term
Answer: C
Q. No. :
52
Question :
Each of the following contains a list of instructors who can all teach during the same term EXCEPT:
A :
J,K,M
B :
J,L,M
C :
K,L,P
D :
K,P,Q
Answer: D
Q. No. :
53
Question :
If more instructors teach during the second term than teach during the first term, then which one of the following instructorsmust teach during the second term?
A :
J
B :
M
C :
N
D :
P
Answer: B
Answer the questions on the basis of the information given below.
A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.
Q. No. :
54
Question :
Which of the following is one of the married couples?
A :
A and B
B :
B and E
C :
D and E
D :
A and D
Answer: D
Q. No. :
55
Question :
What is E's profession?
A :
Engineer
B :
Lawyer
C :
Professor
D :
Accountant
Answer: A
Q. No. :
56
Question :
How many members of the group are males?
A :
2
B :
3
C :
4
D :
cannot be determined
Answer: B
Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses.
1. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row.
2. Eliza and Anne are unwilling to stay besides any occupied cottage.
3. Karen is next to Peter and Jack.
4. Between Anne and Jack's cottage there is just one vacant house.
5. None of the girls occupy adjacent cottages.
6. The house occupied by Tom is next to an end cottage.
Q. No. :
57
Question :
Which of the above statements can be said to have been derived from two other statements ?
A :
Statement 1
B :
Statement 2
C :
Statement 3
D :
Statement 5
Answer: D
Q. No. :
58
Question :
How many of them occupy cottages next to a vacant cottage ?
A :
2
B :
3
C :
4
D :
5
Answer: C
Q. No. :
59
Question :
Which among these statement(s) are true ?
I. Anne is between Eliza and Jack.
II. At the most four persons can have occupied cottages on either side of them. .
III. Tom stays besides Peter.
A :
I and III only
B :
II and III only
C :
I, II and III
D :
II only
Answer: A
Mark according to the information given below:-
(a) if all r same,
(b) if 1 and 3 are same,
(c) if 1 and 2 are same,
(d) if all r different.
Two statements are followed by 2 possible inferences. You have to point out which of the following answer choices applies to each of the following questions : A. Only inference I is followed. B. Only inference II is followed. C. Both inference Iand II follows. D. Neither I nor II follows
Q. No. :
68
Question :
All horses are donkeys. All donkeys are monkeys.
I. All horses are monkeys.
II. All monkeys are horses
No rice is food, No food is bread.
I. No bread is rice
II. No rice is bread
A :
A
B :
B
C :
C
D :
D
Answer: D
Q. No. :
70
Question :
All papers are books, Some papers are files.
I. Some files are books
II. Some books are files
A :
A
B :
B
C :
C
D :
D
Answer: C
Successfully adjusting to one's environment leads to happiness. War at a universal level war destroys the weaker people, who are the most unable to adjust to their environment. Thus, war at the universal level puts weaklings out of their misery and allows more space for their predators to enjoy life in a better manner. As those actions have to be performed, which maximize the level of happiness of the greatest number, war at a universal level should take place.
Q. No. :
71
Question :
What response would the author of the above discussion come up with, in the case of the objection that the weaklings far exceed strong people?
I. He would respond with the statement that the person making the objection is a weakling.
II. He would respond by saying that weaklings will be miserable no matter what happens.
III. He would respond with the statement that the strong would be frustrated if the weaklings are destroyed.
A :
I only
B :
II only
C :
III only
D :
II and III only
Answer: D
Q. No. :
72
Question :
The author's discussion would be greatly if he agreed to which of the following?
I. Technology could change the environment.
II. War at the universal level would be an integral part of the environment.
III. It is possible for the strong to survive without suppressing the weak.