For a number to be divisible by 4 last two digits should be divisible by 4. Such combination of last two digits: 12, 16, 24, 32, 36, 52, 56, 64
Now in each cases first 3 digits can be chosen in 4P3 ways i.e. 4! = 24 ways So Total number of ways = 24 * 8 = 192
Q. No. :
2
Question :
In what proportional should milk and water be mixed to reduce the cost of litre of milk from Rs 18 to Rs 16?
A :
8:1
B :
6:1
C :
7:1
D :
10:1
Answer: A
Q. No. :
3
Question :
Six years ago, Ram's age was four times Shyam's age. Six year hence Ram's age will be thrice Shyam's age. After how many years from now will their combined age be 150 year?
Let Ram's ans Shyam's age are R and S respectively R-6 = 4(S-6) or, R - 4S + 18 = 0 .......(i) R + 6 = 3(S + 6) or, R - 3S - 12 = 0 ........(ii) From (i) and (ii) R = 102, S = 30 (R + x) + (S + x) = 150 or, 132 + 2x = 150 or, x = 9
Q. No. :
4
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. :
5
Question :
The success rate at one stage, of the Indian cricket team in Australia was 25% from 60 matches. If India lost the next 12 matches, what was the minimum number of total matches that were played if the overall success rate of India was 50%?
A :
54
B :
104
C :
114
D :
118
Answer: C
Q. No. :
6
Question :
Tony and Harry begin to run in opposite directions on a circular path of radius 35m at 20 m/sec and 11m/sec respectively from the same point. What is the time taken by them to meet for the third time at the starting point?
Length of the circular park = 2 * 22/7 * 35 = 220 m Time taken by Tony to come to the start position = 220/20 = 11 sec Time taken by Harry to come to the start position = 220/11 = 20 sec LCM of 11 an 20 is 220 So, for the first time they will meet in 220 sec (Tony will cover the path 20 times an Harry will cover it 11 times) For the third time they will meet in 220 *3 = 660 sec = 11 min
Q. No. :
7
Question :
Sum of the digits of a five digit number is 41. Find the probability that such a number is divisible by 11
A :
2/15
B :
1/5
C :
3/35
D :
6/35
Answer: D
Q. No. :
8
Question :
The cost of production of a motorbike which is sold at 20% profit went up by 40%. What should be the % increase in the selling price to maintain the profit % the same even at the new cost of production?
A :
20%
B :
50%
C :
40%
D :
60%
Answer: C
Q. No. :
9
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. :
10
Question :
Two cars C and D start from a junction along two perpendicular roads at 8:00 am and 9:00am respectively. If at 12 noon, the cars, which travels at the same speed are 150km apart the, find the speed of each car.
A :
15kmph
B :
30kmph
C :
45kmph
D :
60kmph
Answer: B
Q. No. :
11
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
Q. No. :
12
Question :
If radius of cylinder and sphere are same and vol of sphere and cylinder are same what is the ratio between the radius and height of the cylinder?
A :
R= H
B :
R= (3/4)H
C :
R = (4/3)H
D :
R=2/3H
Answer: B
Q. No. :
13
Question :
A person has with him a certain number of weighing stones of 100gm, 500gm and 1 kg in the ratio of 3:5:1. If a maximum of 5 kg can be measured using weighing stones of 500gm alone, then what is the number of 100 gm stones he has?
A :
6
B :
3
C :
9
D :
5
Answer: A
Q. No. :
14
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. :
15
Question :
Find the ratio of area of largest possible square that can be fit into a circle, to the area of that circle?
A :
4:pie
B :
pie:4
C :
2:pie
D :
pie:2
Answer: C
Q. No. :
16
Question :
Ramu was given a problem of adding a certain number of consecutive natural numbers starting from 1. By mistake, he missed a number during addition. He obtained the sum as 800. Find the number he missed.
A :
10
B :
15
C :
16
D :
20
Answer: D
Q. No. :
17
Question :
A pipe is filling a tank of 200 litres capacity at 5 litres/hr. Because of the leak it takes 80 hours more to fill the tank. What is the rate in liters/hr at which the water is leaking?
A :
3
B :
3.33
C :
3.5
D :
4
Answer: B
Q. No. :
18
Question :
If 1= (3/4)(1+ (y/x) ) then
A :
x=3y
B :
x=y/3
C :
x=(2/3)y
D :
none
Answer: A
Q. No. :
19
Question :
In a race of 500m, L beats M by 40 seconds and beats N by 125m. If M and N run a 500m race, M beats N by 40 seconds. Find the time taken(in seconds) by M to run the race.
Let L M and N finish the 50 race in t1, t2 and t3 sec. So according to question, t2 - t1 = 40 ........ (i) t3 - t2 = 40 ........ (ii) Also, when L finishes the race at that time distance traveled by N = (500/t3)* t1 As 500/t3 is speed of N.
So, 500-(500/t3)*t1 = 125 Putting value of t3 and t1 from equation (i) and (ii) 500 - 500*[(t2-40)/(t2+40) = 125 or, t2 = 280 sec Ans
Q. No. :
20
Question :
P,Q and R are successive even natural numbers in ascending order. Five times R is eight more than seven times P. Find Q?
Let P , Q an R be x-2 ,x , x+2
According to question
5(x+2)=8+7(x-2)
2x=16
x=8
So Q=8
Q. No. :
21
Question :
Fresh Grapes contain 90% water by weight. Dried grapes contain 20% water by %age. What will be the weight of dried grapes when we begin with 20 kg fresh grapes?
A :
2kg
B :
2.4kg
C :
2.5kg
D :
none
Answer: C
Q. No. :
22
Question :
A certain number is added to each of a pair of numbers which are in the ratio 4:7. The sum of the resulting numbers is 75 and their ratio(taken in the same order as mentioned above) is 8:17.What is the number added?
A :
-12
B :
9
C :
-13
D :
8
Answer: A
Q. No. :
23
Question :
Find the ratio of the areas of the regular hexagons inscribed in and circumscribed around a circle of radius 10cm.
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. :
24
Question :
A gas station needs 80 people to fill air in 20,000 tyres in 84 days. How many people does the gas station need to fill air in 30,000 tyres in 63 days?
Number of people = (80 * 30000 * 84)/(20000 * 63) = 160
Q. No. :
25
Question :
A man engaged a servant on a condition that he will pay Rs 90 and also give him a turban at the end of the yr. He served for 9 months and was given a turban and Rs 65. So the price of turban is ?
Let price of the turban be x (x + 90)/12 = (x + 65)/9 or, 3x + 270 = 4x + 260 or, x = 10 Rs.
Q. No. :
26
Question :
There is a rectangular Garden whose length and width are 60m X 20m.There is a walkway of uniform width around garden. Area of walkway is 516m^2. Find width of walkway
A :
1
B :
2
C :
3
D :
4
Answer: C
Q. No. :
27
Question :
The thickness of a pipe is 2mm and its external diameter is 0.8cm. If 1cubic cm of the material of the pipe weighs 15gm, then find the weight of the pipe of length 28cm.
Volume of the pipe = π(R2-r2)h R = 0.4 cm r = 0.4-0.2= 0.2 cm h = 28 cm ∴V = π*0.12*28 Weight of pipe = π*0.12*28 * 15 gm =158.4 gm
Q. No. :
28
Question :
The perimeter of the sector of the circle of radius 42cm is 108cm. Find the area of the sector.
A :
504sq.cm
B :
588sq.cm
C :
708sq.cm
D :
1416sq.cm
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. :
29
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. :
30
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. :
31
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. :
32
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. :
33
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. :
34
Question :
Who is sitting immediate right to Reeta ?
A :
Bindu
B :
Rani
C :
Mary
D :
Seema
Answer: C
Q. No. :
35
Question :
Who is in the middle of the photograph ?
A :
Bindu
B :
Rani
C :
Reeta
D :
Seema
Answer: B
Q. No. :
36
Question :
Who is second from the right ?
A :
Mary
B :
Rani
C :
Reeta
D :
Bindu
Answer: C
Q. No. :
37
Question :
Who is second from the left in photograph ?
A :
Reeta
B :
Mary
C :
Bindu
D :
Seema
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. :
38
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. :
39
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).
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. :
40
Question :
Who is the heaviest of all?
A :
P
B :
Q
C :
R
D :
S
Answer: A
Q. No. :
41
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
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. :
42
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. :
43
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. :
44
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. :
45
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. :
46
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
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. :
47
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. :
48
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. :
49
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. :
50
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. :
51
Question :
How many other markets can be visited from market M?
A :
2
B :
3
C :
4
D :
5
Answer: D
Each of these questions is based on the following information:
1. A + B means A is the mother of B.
2. A - B means A is the sister of B.
3. A * B means A is the father of B.
4. A β B means A is the brother of B.
Q. No. :
52
Question :
Which of the following means Q is the grandfather of P?
A :
P + N * M * Q
B :
Q * N * M + P
C :
Q β M β N * P
D :
None of these
Answer: D
Q. No. :
53
Question :
Which of the following means that N is the maternal uncle of M?
