The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?
A
51:52
B
52:53
C
51:53
D
52:55
Question 2Single Answer
Which of the following numbers is irrational ?
A
√49
B
0.125
C
√2
D
22/7
Question 3Single Answer
356 x 936 – 356 x 836 = ?
A
35600
B
34500
C
9630
D
93600
Question 4Single Answer
Arrange in descending order: 5/8, 7/10, 3/4
A
3/4 > 7/10 > 5/8
B
7/10 > 3/4 > 5/8
C
3/4 > 5/8 > 7/10
D
5/8 > 7/10 > 3/4
Question 5Single Answer
What is (3^{4} times 9^{2}) ?
A
36
B
38
C
310
D
96
Question 6Single Answer
If 34X-2 = 729, then find the value of X.
A
4
B
3
C
2
D
5
Question 7Single Answer
Convert 0.6 into fraction ?
A
3/5
B
2/3
C
4/5
Question 8Single Answer
The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?
A
169
B
36
C
196
D
Can not say
Question 9Single Answer
If a and b are positive integers, such that ab = 125, then (a-b)a+b-4 = ?
A
16
B
25
C
28
D
30
Question 10Single Answer
If x*y = x2 + y2 – xy, then value of 9*11 is
A
93
B
103
C
60.5
D
121
Question 11Single Answer
Which is greater ?
A
15/16
B
17/18
C
Equal
D
Cannot compare
Question 12Single Answer
If sum of two numbers is 42 and their product is 437, then find their difference.
A
3
B
4
C
5
D
7
Question 13Single Answer
Write the 44000 in Roman numerals
A
XLI
B
XLVI
C
XLIV
D
XLVIC
Question 14Single Answer
Convert 0.0909… into fraction ?
A
1/11
B
9/11
C
1/9
D
9/10
Question 15Single Answer
What is (98 times 102) ?
A
9996
B
10000
C
10096
D
10196
Question 16Single Answer
Which is smaller ?
A
9/11
B
7/9
C
Equal
D
Cannot compare
Question 17Single Answer
Convert 0.5777… into fraction ?
A
26/45
B
52/90
C
13/22
D
5/9
Question 18Single Answer
Convert 0.81 into fraction ?
A
81/100
B
9/10
C
8/9
D
9/11
Question 19Single Answer
(63)2 – (12)2 =?
A
3528
B
3852
C
3582
D
3825
Question 20Single Answer
Which is greater ?
A
13/17
B
11/14
C
Equal
D
Cannot compare
Question 21Single Answer
16.928 + 24.7582 5.015 =?
A
20
B
24
C
22
D
26
Question 22Single Answer
Convert 0.75 into fraction ?
A
3/4
B
2/3
C
4/5
D
5/8
Question 23Single Answer
Which is greater ?
A
11/13
B
12/15
C
Equal
D
Cannot compare
Question 24Single Answer
Two numbers are co-prime if their HCF is ?
A
0
B
1
C
Same
D
Prime
Question 25Single Answer
Product of all factors of 10 is ?
A
10
B
100
C
1000
D
10000
Question 26Single Answer
How many real numbers exist between 2 and 3 ?
A
1
B
10
C
Infinite
D
None
Question 27Single Answer
Which number is divisible by 11 ?
A
12345
B
1331
C
1234
D
1213
Question 28Single Answer
What is the unit digit of (7^{245}) ?
A
1
B
3
C
7
D
9
Question 29Single Answer
What is (64^{2/3}) ?
A
4
B
8
C
16
D
32
Question 30Single Answer
What is (125^{1/3}) ?
A
3
B
4
C
5
D
6
Question 31Single Answer
Which of the following is composite ?
A
17
B
19
C
21
D
23
Question 32Single Answer
What is √0.0009 ?
A
0.003
B
0.03
C
0.3
D
0.09
Question 33Single Answer
What is √1156 ?
A
32
B
34
C
36
D
38
Question 34Single Answer
What is √2025 ?
A
35
B
40
C
45
D
50
Question 35Single Answer
What is (51^2) ?
A
2601
B
2501
C
2551
D
2651
Question 36Single Answer
7 8 18 57 ?
A
244
B
174
C
186
D
none of these
Question 37Single Answer
Last year my age was a perfect square number. Next year it will be a cubic number. What is my Present age ?
A
25 years
B
27 years
C
26 years
D
24 years
Question 38Single Answer
If a + b = 5, a2 + b2 = 13, the value of a – b (where a > b) is
A
2
B
-1
C
1
D
-2
Question 39Single Answer
How many factors does 100 have ?
A
6
B
7
C
8
D
9
Question 40Single Answer
If x = a – b, y = b – c, z = c – a, then the numerical value of the algebraic expression x3 + y3 + z3 – 3xyz will be
A
a + b + c
B
Zero
C
4 (a + b + c)
D
3 abc
Question 41Single Answer
Which number is divisible by 13 ?
A
819
B
845
C
871
D
899
Question 42Single Answer
A number leaves remainder 3 when divided by 5. What remainder when divided by 10 ?
A
3 or 8
B
3
C
8
D
Cannot determine
Question 43Single Answer
What is the unit digit of (9^{101}) ?
A
1
B
3
C
7
D
9
Question 44Single Answer
How many prime numbers are between 10 and 20 ?
A
3
B
4
C
5
D
6
Question 45Single Answer
Which of the following pair is co-prime ?
A
8 and 12
B
9 and 15
C
14 and 25
D
21 and 35
Question 46Single Answer
(43)2 + 841 = (?)2 + 1465
A
41
B
35
C
38
D
33
Question 47Single Answer
269 – 122 – 33 = X * 2
A
51
B
41
C
21
D
49
Question 48Single Answer
What is the remainder when 2100 is divided by 3 ?
A
0
B
1
C
2
D
3
Question 49Single Answer
Which of the following is composite ?
A
17
B
19
C
21
D
23
Question 50Single Answer
Passage :
information given below and answer the question that follow.
The result of an exam is given below. Out of 1000 students who appeared
(i) 658 failed in Physics
(ii) 166 failed in Physics and Chemistry
(iii) 372 failed in Chemistry, 434 failed in Physics and Maths
(iv) 590 failed in Maths, 126 failed in Maths & Chemistry
Find the number of people who failed in (assuming that none is passed in all subjects.
We have the following equations:
a+ b + c + d + e + f + g = 1000
a + b + d + e = 658, b + d = 166
b + d + c + f = 372
d + e = 434 as in the figure.
d + e + f + g = 590, d + f = 126. Find the values
Chemistry but not in Physics.
A
318
B
198
C
213
D
206
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Arithmetic and Mensuration
Question 51Single Answer
Passage :
Direction: information given below and answer the question that follow.
The result of an exam is given below. Out of 1000 students who appeared
(i) 658 failed in Physics
(ii) 166 failed in Physics and Chemistry
(iii) 372 failed in Chemistry, 434 failed in Physics and Maths
(iv) 590 failed in Maths, 126 failed in Maths & Chemistry
Find the number of people who failed in (assuming that none is passed in all subjects.
We have the following equations:
a+ b + c + d + e + f + g = 1000
a + b + d + e = 658, b + d = 166
b + d + c + f = 372
d + e = 434 as in the figure.
d + e + f + g = 590, d + f = 126. Find the values
Physics or Maths but not in Chemistry.
A
558
B
718
C
628
D
None of these
Question 52Single Answer
Passage :
For the next four question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.
Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read all the three papers ?
A
20%
B
25%
C
30%
D
40%
Question 53Single Answer
Passage :
For the next four : question that follow :
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.
Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read only two papers?
A
19%
B
31%
C
44%
D
None of these
Question 54Single Answer
Passage :
For the next four : question that follow :
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.
Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read only one paper ?
A
38%
B
48%
C
51%
D
None of these
Question 55Single Answer
Passage :
For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.
Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read only A but neither B nor C ?
A
4%
B
3%
C
1%
D
None of these
Question 56Single Answer
Passage :
For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.
Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
If A and B are any two sets, then what is A ᴖ (A ᴗ B) equal to ?
A
Complement of A
B
Complement of B
C
B
D
A
Question 57Single Answer
Passage :
For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.
Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers. What percentage of the people read neither newspaper ?
A
10%
B
15%
C
20%
D
25%
Question 58Single Answer
Passage :
Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.
Where C = Coffee, T = Tea and L =Lassi
The passengers who like only coffee is greater than the passengers who like only lassi by
A
25%
B
100%
C
75%
D
0%
Question 59Single Answer
Passage :
Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.
Where C = Coffee, T = Tea and L =Lassi
The percentage of passengers who like both tea and lassi but not coffee, is
A
15
B
25
C
40
D
75
Question 60Single Answer
Passage :
Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.
Where C = Coffee, T = Tea and L =Lassi
The percentage passengers who like at least 2 of the coffee, tea and lassi, is
A
30
B
45
C
50
D
60
Question 61Single Answer
Passage :
Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.
Where C = Coffee, T = Tea and L =Lassi
If the number of passengers is 180, then the number of passengers who like lassi only, is
A
10
B
18
C
27
D
36
Question 62Single Answer
Passage :
Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.
Where C = Coffee, T = Tea and L =Lassi
In a town three newspapers A, B and C are published. 42% of the people in that town read A, 68% read B, 51% read C, 30% read A and B, 28% read B and C, 36% A and C and 18% do not read any paper. Find the % of the population of town that reads all the three.
A
15%
B
25%
C
20%
D
35%
Question 63Single Answer
Passage :
In the adjoining figure, I and II are circles with ceners P and Q respectively. The two circle touch each other and have a common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4 : 3. It is also known that the length of PO is 28 cm.
What is the ratio of the length of PQ to that of QO?
A
1 : 4
B
1 : 3
C
3 : 8
D
3 : 4
Question 64Single Answer
Passage :
A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if ?
The committee should consist of 2 Males, 2 Females and 1 child ?
A
450
B
225
C
55
D
90
Question 65Single Answer
Passage :
A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if ?
The committee should include all the 3 Childs?
A
90
B
180
C
21
D
55
Question 66Single Answer
Passage :
A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if ?
In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together ?
A
75
B
576
C
288
D
24
Question 67Single Answer
Passage :
An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.
If four marbles are drawn at random, what is the probability that two are blue and two are red ?
A
B
C
D
Question 68Single Answer
Passage :
An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.
If eight marbles are drawn at random, what is the probability that there are equal number of marbles of each other ?
A
B
C
D
Question 69Single Answer
Passage :
An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.
If two marbles are drawn at random, what is the probability that both are red or at least one is red ?
A
B
C
D
E
None of these
Question 70Single Answer
Passage :
There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y is less than g. In bag B, number of yellow colored balls is more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is
If x number of yellow balls from bag B are taken and placed into bag A and 20% of black balls from bag A are taken and placed into in bag B. If we pick one ball from bag B then the probability that the ball is of black color is . Then find the value of x ?
A
5
B
6
C
3
D
2
Question 71Single Answer
Passage :
There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y is less than g. In bag B, number of yellow colored balls is more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is
If one ball picked at random from each of the bag A and bag B then find the probability that both of the balls are of the same color ?
A
B
C
D
Can’t be determined
Question 72Single Answer
Passage :
There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y is less than g. In bag B, number of yellow colored balls is more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is
Difference between the number of green balls in bag A and bag C is how much percent more/less than the sum of the number of black balls in bag A and bag C together ?
A
100%
B
95%
C
97.5%
D
102.5%
Question 73Single Answer
Passage :
There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y is less than g. In bag B, number of yellow colored balls is more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is
Panas has 15 yellow, pink and white balls in his bag. Number of each balls is different in the bag. Difference between yellow ball and pink ball is same as difference between pink ball and white ball. Probability of selecting one while ball from the bag is greater than 0.2, then number of while balls in the bag can be
(A) 3 (B) 4
(C) 5 (D) 7
(E) 9
A
Only B, C, D and E
B
Only B, D, E
C
All A, B, C, D and E
D
Only C, D, E
Question 74Single Answer
Passage :
There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y is less than g. In bag B, number of yellow colored balls is more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is
In a bag which contains 60 pens, there are 27 blue pens and some black and red pens. If two pens are picked up from the bag without replacement, then the probability of the first pen being blue and second being black is 9/59. Find the number of red pens in the bag.
A
16
B
13
C
10
D
14
Question 75Single Answer
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
A
{–2, 2}
B
{–1, 0, 1}
C
{–2, –1, 0, 1, 2}
D
{0, 1, 2}
Question 76Single Answer
A
B
C
D
None of these
Question 77Single Answer
If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as
A
{2}
B
{1, 2}
C
{1, 2, 22, ....., 2p – 1}
D
{1, 2, 22, 23,.... 2p – 1, (2p – 1)}
Question 78Single Answer
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
A
{1, 2, 3, 4, 5}
B
{1, 2, 3, 4, 5, 6}
C
{2, 4, 6}
D
{1, 3, 5}
Question 79Single Answer
If A B and A B, then
A
A is called a proper subset of B
B
A is called a super set of B
C
A is not a subset of B
D
B is a subset of A
Question 80Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
A
15
B
14
C
16
D
17
Question 81Single Answer
The number of elements of the power set of a set containing m elements is
A
2m – 1
B
m
C
m2
D
2m
Question 82Single Answer
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
A
3
B
8
C
7
D
None of these
Question 83Single Answer
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
A
16
B
15
C
4
D
None of these
Question 84Single Answer
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
A
A is always a subset of the complement of B
B
B is always a subset of A
C
A and B are always disjoint
D
A and the complement of B are always non-disjoint
Question 85Single Answer
Which of the following is/are empty set?
A = {x : x2 + x + 1 = 0 and x Î Z} B = {x : x is a prime number and 19 < x < 23}
A
A
B
B
C
Both A and B
D
None of the above
Question 86Single Answer
The set {x : x4 = 1 and x R} is .....X.... set. Here, X refers to
A
empty
B
finite
C
infinite
D
singleton
Question 87Single Answer
The universal set for the sets
A = {x : x2 – 5x + 6 = 0} and
B = {x : x2 – 3x + 2 = 0} having least number of elements is
A
{1, 2}
B
{1, 3}
C
{1, 2, 3}
D
{0, 1, 2, 3}
Question 88Single Answer
If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0},
C = {1, 2, 2, 3} and
D = {x € R : x3 – 6x2 + 11x – 6 = 0}, then the equal sets are
A
A and B
B
A and C
C
A, B and C
D
A, C and D
Question 89Single Answer
If A = (–3, 5) and B = [–7, 9], then
A
A = B
B
A B
C
B A
D
None of these
Question 90Single Answer
Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are
A
7, 6
B
5, 1
C
6, 3
D
8, 7
Question 91Single Answer
Combine terms: 12a + 26b - 4b – 16a .
A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b
Question 92Single Answer
The average of first 50 natural numbers is ………… .
A
25.30
B
25.5
C
25.00
D
12.25
Question 93Single Answer
60 Times of 8 Equals to
A
480
B
300
C
250
D
400
Question 94Single Answer
Consider the sets
A = {x : x is a real number and x2 + 1 = 0}
B = {x : x is a real number and x2 – 16 = 0}
C = {x : x is a real number and x2 = x + 2}
Which of the following is are null set ?
A
A
B
A and B
C
A and C
D
A, B and C
Question 95Single Answer
If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to
A
N
B
Y – X
C
X
D
Y
Question 96Single Answer
Which of the following is / are correct?
I. {2, 3, 4} {1, 2, 3, 4, 5}
II. {a, b, c} {b, c, d}
III. {x : x is an equilateral triangle in a plane} Ì {x : x is a triangle in the same plane}
IV. {x : x is an even natural number} {x : x is an integer}
A
I and III are correct
B
II and III are correct
C
Only IV is correct
D
All above are correct
Question 97Single Answer
A
B
C
D
Question 98Single Answer
Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Question 99Single Answer
What is the Next Prime Number after 7 ?
A
13
B
12
C
14
D
11
Question 100Single Answer
If A and B are two given sets, then A (A B)C is equal to
A
A
B
B
C
D
Question 101Single Answer
121 Divided by 11 is
A
11
B
10
C
19
D
18
Question 102Single Answer
Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n = 100, then n is equal to 300 provided n(X) is equal to
A
600
B
700
C
800
D
900
Question 103Single Answer
A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}
Question 104Single Answer
Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then
A
B
C
D
Question 105Single Answer
If A = {x : x is a multiple of 4 and x N} and B = {x : x is a multiple of 6 and x N}, then A B consists of all multiples of
A
16
B
12
C
8
D
4
Question 106Single Answer
A
A = B
B
B = C
C
A = C
D
None of these
Question 107Single Answer
A
equal
B
disjoint
C
either equal or disjoint
D
none of the above
Question 108Single Answer
A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these
Question 109Single Answer
If A = {x : f(x)= 0} and
B = {x : g(x) = 0}, then A B will be
A
[f(x)]2 + [g(x)]2 = 0
B
C
D
None of the above
Question 110Single Answer
In a group of 400 people, 250 can speak Hindi and 200 can speak English. Then, people who can speak both Hindi and English are
A
60
B
80
C
50
D
45
Question 111Single Answer
20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. The number of teacher teaching Physics only, is
A
12
B
8
C
16
D
20
Question 112Single Answer
In a class of 100 students, 70 have taken Science, 60 have taken Mathematics, 40 have taken both Science and Mathematics. The number of students who have not taken Science or Mathematics or both Science and Mathematics, is equal to
A
90
B
10
C
30
D
20
Question 113Single Answer
A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is
A
730
B
170
C
180
D
1270
Question 114Single Answer
If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is
A
42
B
43
C
45
D
None of these
Question 115Single Answer
A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, then number of men who received meal in exactly two of the three sports is
A
18
B
15
C
9
D
24
Question 116Single Answer
In the class of 175 students, the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Then, number of students opted Mathematics alone is
A
35
B
48
C
60
D
20
Question 117Single Answer
In a town of 10000 families it was found that 40% family buy newspaper A, 20% family buy newspaper B and 10% family buy newspaper C, 5% families buy and B, 3% families buy B and C and 4% families buy A and C. If 2% families buy all the three newspapers. Then, number of families which by A only is
A
3100
B
3300
C
2900
D
1400
Question 118Single Answer
In a city, 20% of the population travles by car, 50% travles by bus and 10% travles by both car and bus. Then, person travelling by car or bus, is
A
80%
B
40%
C
60%
D
70%
Question 119Single Answer
Universal set,
U = {x | x5 – 6x4 + 11x3 – 6 x 2 = 0}
A = {x | x2 – 5x + 6 = 0}
B = {x | x2 – 3x + 2 = 0}
What is the value of (A B)?
A
{1, 3}
B
{1, 2, 3}
C
{0, 1, 3}
D
{0, 1, 2, 3}
Question 120Single Answer
A
B
C
D
Question 121Single Answer
If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}?
A
Zero
B
1
C
4
D
16
Question 122Single Answer
If A = {1, 2, 3, 4, 5}, b = {x : x2 – 5x + 6 = 0} and C = {x : x2 = 4 or x = 1}, then
A
B
C
Both (a) and (b)
D
None of the above
Question 123Single Answer
In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of two languages. The number of people who speak 'English', 'English but not Hindi' are respectively
A
40, 15
B
15, 40
C
35, 15
D
25, 15
Question 124Single Answer
If P = {1, 2}, then P × P × P = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}. The ordered triplet missing in P × P × P are
A
(1, 2), (2, 1)
B
(1, 2, 1), (2, 1, 1)
C
(1, 2, 2), (2, 1, 2)
D
(1, 2, 2), (2, 1, 1)
Question 125Single Answer
If A = {1, 2, 3, 4} and B = {5, 7, 9} then
A
A × B = B × A
B
n(A × B) =n(B × A)
C
Both (a) and (b)
D
None of the above
Question 126Single Answer
Let A and B are two sets having 3 elements in common. If n(A) = 5 and n(B) = 4, then n[(A × B) (B × A)] is equal to
A
20
B
25
C
16
D
9
Question 127Single Answer
If n(A) = 3, n(B) = 4 then, n(A × A × B) is equal to
A
36
B
12
C
108
D
None of these
Question 128Single Answer
If A = {1, 2, 3}, B = {3, 8}, then (A B) × (A B) is equal to
A
{(8, 3), (8, 2), (8, 1), (8, 8)}
B
{(1, 2), (2, 2), (3, 3), (8, 8)}
C
{(3, 1), (3, 2), (3, 3), (3, 8)}
D
{(1, 3), (2, 3), (3, 3), (8, 3)}
Question 129Single Answer
The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Then, the remaining elements of A × A are
5.015 =?
The value of y 
is less than g. In bag B, number of yellow colored balls is 
more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is 
. Total number of balls in bag B is 75.
. Then find the value of x ?
B and A
B, then
R} is .....X.... set. Here, X refers to
B 
A
(A 
= 100, then n
is equal to 300 provided n(X) is equal to
N} and B = {x : x is a multiple of 6 and x 
N}, then A 
B consists of all multiples of
B will be
B)?
(B × A)] is equal to
B) × (A 
B) is equal to
N and x < 6} 
N and x < 6} 
N and x < 6} 
g{f(x)}
0 is the inverse of itself, is
