Let A and B be two
solid spheres such that the surface area of B is 300% higher than the
surface area of A. The volume of A is found to be k% lower than the
volume of B. The value of k must be
A :
82.5
B :
85
C :
87.5
D :
92.5
Answer: C
Q. No. :
2
Question :
The horizontal
distance of a kite from the boy flying it is 30 m and 50 m of cord is
out from the roll. If the wind moves the kite horizontally at the rate
of 5 km per hour directly away from the boy, how fast is the cord being
released?
Method 1: z2 = x2 + y2 z = √x2 + y2 dz/dt = 2x/(2√x2 + y2) dx/dt as y is constant Initially x = 30m, y = 40m, dx/dt = 5km/hr dz/dtinitial = 2 * 30/(2*50) * 5 = 3 kmph
Method 2: Initial position of kite: x= 30 y= 40 z= 50
After 1hr, wind made the kite move 5km directly away from the boy, so, position of kite after 1 second: x= 30 + 1.39=31.39(because of wind, 5kmph = 1.39m/s) y= 40 z= √( 31.39*31.39+40*40) = 50.846
Now in 1sec, cord has moved 0.846m => 3kmph So, cord is released at the rate of 3kmph.
Q. No. :
3
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
Area of ring A= π[(2x)2-x2]=3πx2 Area of ring B= π[(4x)2-(3x)2]=7πx2 Ratio = 3:7
Q. No. :
4
Question :
The proportion of
milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of
equal quantities of all 3 samples is made. The proportion of milk and
water in the mixture is
Milk water ration in three mixtures = 1:2 , 3:2 ,5:3 Milk ratio in total mixture in three mixtures = 1:(1+2) , 3:(3+2) ,5:(5+3) = 1:3 ,3:5 , 5:8 Let V be the volumes mixed in new mixtures of every mixture Milk/Water=((1:3)V +(3/5)V +(5/8V) / ((2:3)V +(2/5)V +(3/8)V) = 227/133
Q. No. :
5
Question :
In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?
(All but 2 means everyone except two of them. 8-2=6) From group of 8, 6 is to be moved to final. So such number of ways =8C6 Now from 6 such groups 3 is to be awarded medal. So such number of ways = 6C3 Total number of ways = 8C6 * 6C3 = 560
Q. No. :
6
Question :
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel?
After traveling 36 fts back wheel make 1 revolution while front wheel make 6/5 revolutions. So Front wheel make 1/5 more revolution than back wheel after traveling 36 fts.
So for making 5 more revolutions distance covered will be : 36 * 25 = 900 fts
Q. No. :
7
Question :
A plot of land is in the shape of a trapezium whose dimensions are given in the figure below
Hence the perimeter of the field is?
A :
50m
B :
64m
C :
72m
D :
84m
Answer: C
Q. No. :
8
Question :
The average marks
of a student in ten papers are 80. If the highest and the lowest scores
are not considered, the average is 81. If his highest score is 92, find
the lowest.
A :
55
B :
58
C :
60
D :
62
Answer: C
Q. No. :
9
Question :
A 20 litre mixture
of milk and water contains milk and water in the ratio 3 : 2. 10 litres
of the mixture is removed and replaced with pure milk and the operation
is repeated once more. At the end of the two removal and replacement,
what is the ratio of milk and water in the resultant mixture?
A :
17:3
B :
9:1
C :
3:17
D :
5:3
Answer: B
Q. No. :
10
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?
Weight of nuts and bolts in box = 9 + 15 = 24 kg Weight of empty box = 35.5 - 24 = 11.5 Kg
Q. No. :
12
Question :
A person travels
through 5 cities - A, B, C, D, E. Cities E is 2 km west of D. D is 3 km
north-east of A. C is 5km north of B and 4 km west of A. If this person
visits these cities in the sequence B - C - A - E - D, what is the
effective distance between cities B and D?
.2t = 2.2 - .6s or t = 11 - 3s .5s = .2t + 1.1 Putting value of t, .5s = .2(11 - 3s) + 1.1 or .5s = 2.2 - .6s + 1.1 or 1.1s = 3.3 or s = 3
Q. No. :
14
Question :
If Table is called Chair, Chair is called Cot, Cot is called Pot and Pot is called Filter, where does a person sit.
A :
Pot
B :
Cot
C :
Chair
D :
Filter
Answer: B
Q. No. :
15
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. :
16
Question :
A mixture of 40
liters of milk and water contains 10% water. How much water should be
added to this so that water may be 20% in the new mixture?
A :
6.5 liters
B :
5 liters
C :
4 liters
D :
7.5 liters
Answer: B
Q. No. :
17
Question :
Ram
walks 10M South from his house, turns left and walks 23M. Again turns
left and walks 40M, then turns right and walks 5M to reach his school.
In which direction is the school from his house?
A :
East
B :
North-East
C :
South-West
D :
North
Answer: B
Q. No. :
18
Question :
I bought 5 pens, 7
pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for
an amount which was half more than what I had paid. What percent of the
total amount paid by me was paid for the pens?
Suppose cost of pen pencil and eraser is x y and z respectively. According to question, 6x+8z+14y = 3/2(5x+7y+4z) or 3x = 7y + 4z
Now percent of the
total amount paid for the pens = 5x/(5x+7y+4z)*100 =5x/(5x+3x)*100 = 62.5 %
Q. No. :
19
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. :
20
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
Q. No. :
21
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. :
22
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. :
23
Question :
After a discount of
11.11%, a trader still makes a gain of 14.28%. At how many percent
above the cost price does he mark his goods?
A :
28.56 %
B :
35%
C :
22.22 %
D :
None of these
Answer: A
Q. No. :
24
Question :
A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time. Hence the father's present age is
A :
36
B :
42
C :
45
D :
48
Answer: C
Q. No. :
25
Question :
If "+" means "/", "/" means "-", "-" means "x" and "x" means "+", then what will be the value of
5-13x6+2/33 ?
A :
-76
B :
35
C :
0
D :
87
Answer: B
Q. No. :
26
Question :
At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?
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. :
28
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. :
29
Question :
A team of 8
students goes on an excursion, in two cars, of which one can seat 5 and
the other only 4. In how many ways can they travel?
A :
9
B :
26
C :
126
D :
3920
Answer: C
Q. No. :
30
Question :
Which of the following will come in place of the Question Mark (?) in the following sequence?6C7, 5F10, 11J14, 15O19, ?
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. :
31
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. :
32
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. :
33
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. :
34
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. :
35
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.
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. :
36
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. :
37
Question :
What is E's profession?
A :
Engineer
B :
Lawyer
C :
Professor
D :
Accountant
Answer: A
Q. No. :
38
Question :
How many members of the group are males?
A :
2
B :
3
C :
4
D :
cannot be determined
Answer: B
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. :
39
Question :
Which of the following cannot be seated at either end?
A :
C
B :
D
C :
F
D :
G
Answer: C
Q. No. :
40
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. :
41
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
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. :
42
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. :
43
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. :
44
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. :
45
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. :
46
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. :
47
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. :
48
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. :
49
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. :
50
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. :
51
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
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. :
52
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. :
53
Question :
How many of them occupy cottages next to a vacant cottage ?
A :
2
B :
3
C :
4
D :
5
Answer: C
Q. No. :
54
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
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. :
55
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. :
56
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. :
57
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. :
58
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. :
59
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
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.
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. :
64
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. :
65
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.
A :
I only
B :
II only
C :
III only
D :
I and III only
Answer: A
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. :
66
Question :
All horses are donkeys. All donkeys are monkeys.
I. All horses are monkeys.
II. All monkeys are horses
Ratio of the area of inner ring A to the area of outer ring B is
