Length of side of inscribed hexagon = 2 * 1 *cos60 = 1 Length of side of circumscribed hexagon = 2 * 1 * tan 30 = 2/√3 Area of hexagon = 3√3/2 a2 Hence ratio = 1 : (2/√3)2 =3 :4
Q. No. :
2
Question :
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Let ages of Sameer and Anand is 5x and 4x respectively According to question (5x+3)/(4x+3)=11/9 x=6 Therefore Anand's age is = 4x=24
Q. No. :
3
Question :
Two numbers 698 and 450 when divided by a certain divisor leave remainders of 9 and 8 respectively. Find the largest such divisor.
A :
11
B :
17
C :
23
D :
13
Answer: D
Q. No. :
4
Question :
The work done by a men in 3 days is equal to the work done by four boys in 2 days. How many men are needed to do a piece of work in 48 days which 72 boys can do in 16 days?
72 boys in 16 days can do 8 * 18 works.
Suppose x men are required to do so in 48 days.
So, 3*8*18/x = 48
or x = 9
Q. No. :
5
Question :
Fresh dates contains 90% water while dry dates contains 28% water. How many kilograms of dry dates can be obtained from 36kg of fresh dates?
A :
5kg
B :
10kg
C :
12kg
D :
6kg
Answer: A
Each question is followed by two statements giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question:: Choose A:- If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone. Choose B:-If the question can be answered by using either statement alone. Choose C:-If the question can be answered by using both statements together, but can not be answered by using either statement alone. Choose D:-If the question cannot be answered even by using both the statements together.
Q. No. :
6
Question :
Seven person A,B,C,D,E,F and G are sitting around a circular table, such that G is adjacent to both A and F. Which two persons are adjacent to B? A. E is two places away to the left of B B. C is two places away to the right of F
A :
A
B :
B
C :
C
D :
D
Answer: C
Q. No. :
7
Question :
Four person A,B,C and D are sitting around a circular table. Among them two married couple are present. Who is opposite A? A. Every person is next to his/her spouse and B is to the immediate left of C's spouse. B. A is to the immediate left of C.
A :
A
B :
B
C :
C
D :
D
Answer: A
Q. No. :
8
Question :
Is town X to the south of town Y A. Towns A and B are to the north of X B. Towns B and C are to the south of Y.
A :
A
B :
B
C :
C
D :
D
Answer: C
Q. No. :
9
Question :
A is to the east of B and to the south of D. In which direction A is located with respect to C? A. B is to the north of E, which is to the west of C. B. F is to the east of D and to the north of C
A :
A
B :
B
C :
C
D :
D
Answer: A
Q. No. :
10
Question :
What is the shortest distance between Ankur's house and his office? A. Ankur started from his house and travelled for 10km towards north and then turned to his right and travelled for 14km. From there he travelled for 6km towards his left and again from there he travelled for 2km to his left to reach his office. B. Ankur started from his office and travelled for 7km towards south. From there he travelled for 15km in the south-west direction to reach his house.
A :
A
B :
B
C :
C
D :
D
Answer: A
Five girls are sitting on a bench to be photographed. Seema is to the left of Rani and to the right of Bindu. Mary is to the right of Rani. Reeta is between Rani and Mary.
Q. No. :
11
Question :
Who is sitting immediate right to Reeta ?
A :
Bindu
B :
Rani
C :
Mary
D :
Seema
Answer: C
Q. No. :
12
Question :
Who is in the middle of the photograph ?
A :
Bindu
B :
Rani
C :
Reeta
D :
Seema
Answer: B
Q. No. :
13
Question :
Who is second from the right ?
A :
Mary
B :
Rani
C :
Reeta
D :
Bindu
Answer: C
Q. No. :
14
Question :
Who is second from the left in photograph ?
A :
Reeta
B :
Mary
C :
Bindu
D :
Seema
Answer: D
P,Q,R and S are four men, P is heavier than S, who is less richer and shorter than Q, who is shorter than R but the richest of all. R is heavier than Q but lighter than S and taller than P
Q. No. :
15
Question :
Who is the heaviest of all?
A :
P
B :
Q
C :
R
D :
S
Answer: A
Q. No. :
16
Question :
The heaviest, the tallest and the richest persons can be respectively
A :
P,R and Q
B :
Q,P and R
C :
P,Q and R
D :
Cannot be determined
Answer: A
Six super markets J,K,L,M,N and O are in six different locations. If a person wants to go from one market to another then he has to go as per the following directions.
The routes between J and M, K and O are two ways, whereas the routes from M to K and L, N to M, J to N, K to N and L are one way.
Q. No. :
17
Question :
If a person wants to go from J to K then he goes in the order of
A :
J,N and K
B :
J,M and K
C :
J,M,L and K
D :
J,M,L,O and K
Answer: B
Q. No. :
18
Question :
If a person wants to go from J to O, then in how many ways can he go?
A :
2
B :
3
C :
4
D :
5
Answer: A
Q. No. :
19
Question :
Which of the following pairs of markets has exactly two markets in between them?
A :
L and N
B :
M and O
C :
J and O
D :
None of these
Answer: D
Q. No. :
20
Question :
Which of the following two markets have maximum possible routes between them?
A :
K and L
B :
M and N
C :
K and O
D :
O and N
Answer: A
Q. No. :
21
Question :
How many other markets can be visited from market M?
A :
2
B :
3
C :
4
D :
5
Answer: D
Santosh, Prashant and Abhishek are three person who go to buy six items- P,Q,R,S,T and U. Each one of them buys two different items in such a way that if Santosh buys R, then Prashant buys neither P nor S. If Prashant buys Q, then Abhishek buys neither U nor T.
Q. No. :
22
Question :
If Santosh buys R and T, then Prashant buys
A :
P and S
B :
Q and U
C :
P and Q
D :
S and U
Answer: B
Q. No. :
23
Question :
If Prashant buys Q and S, then Santosh must buy
A :
P and R
B :
T and U
C :
P and T
D :
R and U
Answer: B
Q. No. :
24
Question :
If Abhishek buys P ans S, then which of the following must be true?
A :
Santosh bought R
B :
Prashant bought Q
C :
Santosh bought T
D :
None of these
Answer: D
Q. No. :
25
Question :
If Santosh buys P and Prashant Buys Q, then which of the following is true?
A :
Abhishek buys R and S
B :
Abhishek can buy any two of P,R and S
C :
Abhishek can buy any three of P,R,S and T
D :
Abhishek can buy any two of P,Q,R,S,T and U
Answer: A
Q. No. :
26
Question :
Which of the following is definitely true?
A :
Santosh buys R and Prashant buys Q
B :
If Abhishek buys T or U, then Prashant buys Q and S
C :
If Santosh buys R, Then Prashant buys T
D :
If Santosh buys R and Prashant buys Q then Abhishek to buy P and S
Answer: D
A robot moves on a graph sheet with x-y axes. The robot is moved by feeding it with a sequence of instructions. The different instructions that can be used in moving it, and their meanings are:
Instruction Meaning
GOTO(x,y) move to pt with co-ord (x,y) no matter where you are currently
WALKX(P) move parallel to x-axis through a distance of p, in the +ve direction if p is +ve and in -ve if p is -ve
WALKY(P) move parallel to y-axis through a distance of p, in the +ve direction if p is +ve and in -ve if p is -ve
Q. No. :
27
Question :
The robot reaches point (5,6) when a sequence of 3 instr. Is executed, the first of which is GOTO(x,y) , WALKX(2), WALKY(4). What are the values of x and y??
A :
2,4
B :
0,0
C :
3,2
D :
2,3
Answer: C
Q. No. :
28
Question :
The robot is initially at (x.y), x>0 and y<0. The min no. of Instructions needed to be executed to bring it to origin (0,0) if you are prohibited from using GOTO instr. Is:
The min no. of Instructions needed to be executed to bring it to origin (0,0) is 2 The instructions are : WALKX(-x) and thenWALKY(y) Means firstly tell robot to go parallel to x axis in left direction(-ve) and then Tell the robot to go parallel to y axis upwards(+ve).
