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
Product of all factors of 10 is ?
A
10
B
100
C
1000
D
10000
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Mathematics
Question 51Single Answer
Sum of factors of 12 is ?
A
16
B
24
C
28
D
32
Question 52Single Answer
Convert 0.81 into fraction ?
A
81/100
B
9/10
C
8/9
D
9/11
Question 53Single Answer
Which of the following numbers is irrational ?
A
√49
B
0.125
C
√2
D
22/7
Question 54Single Answer
The last three-digits of the multiplication 12345 x 54321will be
A
865
B
745
C
845
D
945
Question 55Single Answer
What is the remainder when 173 is divided by 5 ?
A
1
B
2
C
3
D
4
Question 56Single Answer
If a number is divisible by both 8 and 9, then it must be divisible by ?
A
17
B
72
C
81
D
18
Question 57Single Answer
What is the area of a triangle with base 5 meters and height 10 meters ?
A
20 square meters
B
35 square meters
C
25 square meters
D
40 square meters
Question 58Single Answer
How many factors does 36 have ?
A
6
B
7
C
8
D
9
Question 59Single Answer
Convert 0.04 into fraction ?
A
1/20
B
1/25
C
1/40
D
1/50
Question 60Single Answer
What is the average of first five multiples of 12 ?
A
36
B
38
C
40
D
42
Question 61Single Answer
Convert 0.04 into fraction ?
A
1/20
B
1/25
C
1/40
D
1/50
Question 62Single Answer
Which is greater ?
A
7/9
B
4500
C
4500
D
4900
Question 63Single Answer
Convert 0.125 into fraction ?
A
1/4
B
1/5
C
1/8
D
3/8
Question 64Single Answer
Convert 0.666… into fraction ?
A
1/3
B
2/3
C
3/5
D
4/5
Question 65Single Answer
A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260 ?
A
252
B
125
C
503
D
None of these
Question 66Single Answer
If January 1, 1996, was Monday, what day of the week was January 1, 1997 ?
A
Thursday
B
Wednesday
C
Friday
D
Sunday
Question 67Single Answer
Convert 0.333… into fraction ?
A
1/2
B
1/3
C
2/3
D
3/4
Question 68Single Answer
How many factors does 36 have ?
A
6
B
7
C
8
D
9
Question 69Single Answer
23% of 6783 + 57% of 8431 = ?
A
6460
B
6420
C
6320
D
6360
Question 70Single Answer
With a two digit prime number, if 18 is added, we get another prime number with digits reversed. How many such numbers are possible ?
A
2
B
3
C
0
D
1
Question 71Single Answer
If a number is divisible by both 8 and 9, then it must be divisible by ?
A
17
B
72
C
81
D
18
Question 72Single Answer
Which is smallest ?
A
5/6
B
7/8
C
9/10
D
11/12
Question 73Single Answer
What is (104 times 106) ?
A
11024
B
11020
C
11016
D
11040
Question 74Single Answer
What is (48 times 52) ?
A
2496
B
2500
C
2484
D
2516
Question 75Single Answer
Two numbers are co-prime if their HCF is ?
A
0
B
1
C
Same
D
Prime
Question 76Single Answer
Which of the following is a prime number ?
A
51
B
57
C
59
D
63
Question 77Single Answer
If the expression (px3-8x2-qx + 1) is completely divisible by the expression ?(3x2 – 4x + 1), then what will be the value of p and q respectively?
A
B
(6, 1)
C
D
(1, 6)
Question 78Single Answer
The greatest number which will divide 116, 221, 356 leaving the same remainder in each case is
A
15
B
5
C
10
D
20
Question 79Single Answer
What number has to be added to 345670 in order to make it divisible by 6?
A
2
B
4
C
5
D
6
Question 80Single Answer
The least number which when divided by 35 leaves a remainder 25, when divided by 45 leaves the remainder 35 and when divided by 55 leaves 45 is
A
3465
B
3645
C
3655
D
3455
Question 81Single Answer
The last digit of 2137753 is
A
9
B
7
C
3
D
1
Question 82Single Answer
In order that the number 1 y 3 y 6 be divisible by 11, the digit y should be
A
1
B
2
C
5
D
6
Question 83Single Answer
What is the difference in the place value of 5 in the numeral 754853 ?
A
49500
B
49950
C
45000
D
49940
Question 84Single Answer
The number 311311311311311311311 is
A
Divisible by 3 but not by 11
B
Divisible by 11 but not by 3
C
Divisible by both 3 and 11
D
Neither divisible by 3 nor by 11
Question 85Single Answer
If the product 4864 x 9 P 2 is divisible by 12, the value of P is
A
2
B
5
C
6
D
None of these
Question 86Single Answer
(xn – an) is completely divisible by (x + a), when
A
n is any natural number
B
n is an even natural number
C
n is an odd natural number
D
n is prime
Question 87Single Answer
Which of the following statements are true:
(i) The rational number lies to the left of zero on the number line.
(ii) The rational numberlies to the right of zero on the number line.
(iii) The rational numbers -and are on the opposite side of zero on the number line.
(iv) The rational numbers and are on the opposite side of zero on the number line.
A
Only (i)
B
(i) & (ii)
C
Only (iii)
D
(i), (ii) & (iv)
Question 88Single Answer
Find the digit at the unit’s place of
(377)59 x (793)87 x (578)129 x (99)99
A
1
B
2
C
7
D
9
Question 89Single Answer
If N is the sum of first 13,986 prime numbers, then N is always divisible by
A
6
B
4
C
8
D
None of these
Question 90Single Answer
If two numbers when divided by a certain divisor give remainder 35 and 30 respectively and when their sum is divided by the same divisor, the remainder is 20, then the divisor is
A
40
B
45
C
50
D
55
Question 91Single Answer
Find the least number which when divided by 12, leaves a remainder 7, when divided by 15, leaves a remainder 10 and when divided by 16, leaves a remainder 11
A
115
B
235
C
247
D
475
Question 92Single Answer
A number is interesting if on adding the sum of the digits of the number and the product of the digits of the number, the result is equal to the number. What fraction of numbers between 10 and 100 (both 10 and 100 included) is/are interesting ?
A
0.1
B
0.11
C
0.16
D
0.22
Question 93Single Answer
If x + y + z = 1 and x, y, z are positive real numbers, then the least value of is
A
4
B
8
C
16
D
None of these
Question 94Single Answer
The last digit in (25_)32 and (25_)33 both is 6. The missing digit is:
A
4
B
8
C
6
D
5
Question 95Single Answer
At a college football game, of the seats in the lower deck of the stadium were sold. If of all the seating in the stadium is located in the lower deck, and if of all the seats in the stadium were sold, then what fraction of the unsold seats in the stadium was in the lower deck ?
A
B
C
D
Question 96Single Answer
How many numbers are there between 200 and 800 which are divisible by both 5 and 7 ?
A
35
B
16
C
17
D
can’t be determined
Question 97Single Answer
A number which when divided by 32 leaves a remainder of 29. If this number is divided by 8 the remainder will be.
A
Zero
B
1
C
5
D
3
Question 98Single Answer
A six digit number which is consisting of only one digits either 1, 2, 3, 4, 5, 6, 7, 8 or 9, e.g., 111111, 222222. etc. This number is always divisible by:
A
7
B
11
C
13
D
All of these
Question 99Single Answer
The sum and number of even factors of 2450.
A
9,3534
B
18,3500
C
12,3524
D
4,2453
Question 100Single 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 101Single Answer
A
B
C
D
None of these
Question 102Single 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 103Single 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 104Single 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 105Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
A
15
B
14
C
16
D
17
Question 106Single 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 107Single 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 108Single 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 109Single 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 110Single 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 111Single 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 112Single 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 113Single 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 114Single Answer
If A = (–3, 5) and B = [–7, 9], then
A
A = B
B
A B
C
B A
D
None of these
Question 115Single 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 116Single Answer
Combine terms: 12a + 26b - 4b – 16a .
A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b
Question 117Single Answer
The average of first 50 natural numbers is ………… .
A
25.30
B
25.5
C
25.00
D
12.25
Question 118Single Answer
60 Times of 8 Equals to
A
480
B
300
C
250
D
400
Question 119Single 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 120Single 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 121Single 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 122Single Answer
A
B
C
D
Question 123Single 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 124Single Answer
What is the Next Prime Number after 7 ?
A
13
B
12
C
14
D
11
Question 125Single Answer
If A and B are two given sets, then A (A B)C is equal to
A
A
B
B
C
D
Question 126Single Answer
121 Divided by 11 is
A
11
B
10
C
19
D
18
Question 127Single 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 128Single Answer
A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}
Question 129Single 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 130Single 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 131Single Answer
A
A = B
B
B = C
C
A = C
D
None of these
Question 132Single Answer
A
equal
B
disjoint
C
either equal or disjoint
D
none of the above
Question 133Single Answer
A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these
Question 134Single 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 135Single 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 136Single 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 137Single 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 138Single 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 139Single 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 140Single 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 141Single 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 142Single 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 143Single 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 144Single 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 145Single Answer
A
B
C
D
Question 146Single 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 147Single 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 148Single 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 149Single 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