கேள்வி 6: பின்வரும் வாக்கியத்தில் உள்ள பெயரடையைக் கண்டறியவும்:
அழகான மலர்கள் பூத்திருக்கின்றன.
A
அழகான
B
மலர்கள்
C
பூத்திருக்கின்றன
D
இவற்றில் எதுவுமில்லை
Question 27Single Answer
பின்வரும் வாக்கியத்தில் உள்ள பெயரடையின் வகையைக் கண்டறியவும்:
A
தரம் குறிக்கும் பெயரடை
B
தன்மை குறிக்கும் பெயரடை
C
எண்ணிக்கை குறிக்கும் பெயரடை
D
இவற்றில் எதுவுமில்லை
Question 28Single Answer
பின்வரும் வாக்கியத்தில் உள்ள பெயரடையை உருவாக்கப்பட்ட விதத்தைக் கண்டறியவும்:
தங்கத்தாலான நகை.
A
மூலப்பெயரிலிருந்து உருவாக்கப்பட்ட பெயரடை
B
வினைச்சொல்லிலிருந்து உருவாக்கப்பட்ட பெயரடை
C
பிற பெயரடைகளிலிருந்து உருவாக்கப்பட்ட பெயரடை
D
இவற்றில் எதுவுமில்லை
Question 29Single Answer
வினைச்சொல்லின் காலத்தைக் குறிப்பிடும் சொல் எது ?
A
காலம்
B
வினைப்பகுதி
C
எச்சம்
D
இவற்றில் எதுவுமில்லை
Question 30Single Answer
தமிழில் எத்தனை காலங்கள் உள்ளன ?
A
மூன்று
B
நான்கு
C
ஐந்து
D
ஆறு
Mathematics
Question 31Single Answer
In a college part girls and part boys attended a social camp. How many parts in the collegs students attended the camp ?
A
B
C
D
E
None of the above
Question 32Single Answer
The sum of two number is 16 and their difference is 2. What is the product to both numbers ?
A
35
B
56
C
56
D
72
Question 33Single Answer
What are the positive factors of 160 .
A
6
B
8
C
5
D
12
Question 34Single Answer
What is the value of (51 + 52 + 53 ........100) ?
A
1325
B
5050
C
3775
D
3325
Question 35Single Answer
What is the sum of all natural numbers that come in the between 1 to 100, which a multiple of 7 ?
A
735
B
745
C
675
D
705
Question 36Single Answer
What is the unit digit of 279 + 167 × 342 ?
A
1
B
3
C
5
D
8
Question 37Single Answer
Which of the given values is completely divisible by 15 ?
A
2365
B
1375
C
4365
D
2275
Question 38Single Answer
For which value of M, the divisor 34M fully divisible by 12 ?
A
2
B
0
C
8
D
6
Question 39Single Answer
If 432p1 is completely divisiable 34M fully divisiable by 12 ?
A
1
B
8
C
7
D
2
Question 40Single Answer
Which is the smallest number to be added to 100, so that the resulting number is completely divisible by 6 ?
A
2
B
3
C
5
D
4
Question 41Single Answer
When a number is divided by 80, the remainded is 20. When the same number is divided by 16, what will be the remainder ?
A
2
B
4
C
6
D
8
Question 42Single Answer
Which of the fractions is the largest among and ?
A
B
C
D
All are equal
Question 43Single Answer
What is the two digits largest prime number ?
A
91
B
93
C
97
D
99
Question 44Single Answer
What is the sum of first 15 odd natural numbers ?
A
255
B
225
C
235
D
215
Question 45Single Answer
What will be the sum of all natural numbers from 75 to 97 ?
A
1598
B
1978
C
1798
D
1958
Question 46Single Answer
If the quotient of is positive, which of the following would be true ?
A
a > 0
B
b > 0
C
ab > 0
D
a + b > 0
Question 47Single Answer
If the last two digits of a three-digit number is multiple of 6, then the original integer will always be divisible by ?
A
6
B
3
C
2
D
12
Question 48Single Answer
Find three consecutive numbers, in which sum of the two times of the first, three of second and four time of the third number os 191 ?
A
19, 20, 21
B
21, 22, 23
C
20, 21, 22
D
22, 23, 24
Question 49Single Answer
An office has 108 table and 132 chairs. If tables and of the chairs are broken, then how many people can work in the office, if required 1 table and 1 chair ?
A
86
B
90
C
90
D
99
Question 50Single Answer
If the sum of two numbers is a and the product is b, then what will be the sum of their reciprocal ?
A
B
C
D
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Mathematics
Question 51Single Answer
The sum of all prime numbers not greater than 17 is ?
A
59
B
58
C
41
D
42
Question 52Single Answer
What is the decimal fraction of 2.349 ?
A
B
C
D
Question 53Single Answer
Which of the following number is divisible by 9 ?
A
45699
B
12381
C
45696
D
12348
Question 54Single Answer
The largest 4 - digit number is X, which is divisible by 18, 15 and 12 . Then the value of X will be ?
A
9989
B
9980
C
9999
D
9900
Question 55Single Answer
The sum of two numbers is 20 and the product is 91 . What should be the sum of their reciprocal ?
A
B
C
D
Question 56Single Answer
Find the smallest 6 digit number which is multiple of 18 ?
A
100000
B
999900
C
100008
D
100006
Question 57Single Answer
The sum of a fraction and its reciprocal is the fractions is ?
A
B
C
D
4
Question 58Single Answer
The sum of digits of a twodigit number is 9 . By subtracting 27 from number, the digits of the number are interchanged, so what is that number ?
A
72
B
63
C
45
D
None of these
Question 59Single Answer
The product of two positive numbers is 2500. If one of these numbers is four times more than the other, then what will be the sum of these two numbers ?
A
25
B
125
C
225
D
None of these
Question 60Single Answer
A studednt were asked to divide a number by 3, but instead of dividing it, multiplied that number by 3, so that he got 29.7 as the result, what would be the correct result ?
A
3.3
B
3.9
C
9.9
D
None of these
Question 61Single Answer
The sum of two times of a number and three times its reciprocal is What is that number ?
A
7
B
6
C
5
D
4
Question 62Single Answer
A number is greater than three times of its reciprocal by What is that number ?
A
10
B
11
C
9
D
8
Question 63Single Answer
Which of the following numbers is completely divisible by 99 ?
A
57717
B
57625
C
55162
D
56982
Question 64Single Answer
One dividing a number by 38, we get 90 as the quotient and 19 as the remainder . What is that number ?
A
3401
B
3382
C
3458
D
3439
Question 65Single Answer
If the number 583_437 is completely divisible by 9, what will be the minimum integer in the blank space ?
A
4
B
5
C
3
D
6
Question 66Single Answer
How many such numbers are there between 1 and 200, which are divisible by 3 but not by 7 ?
A
38
B
45
C
57
D
66
Question 67Single Answer
When 2143 is divided by 38, what will be the quotient value ?
A
56
B
55
C
57
D
54
Question 68Single Answer
What is the sum of all indivisible numbers between 58 and 68 ?
A
179
B
178
C
187
D
183
Question 69Single Answer
The sum of the bouble of a fraction and its reciprocal is What is the fraction ?
A
B
C
D
Question 70Single Answer
What is the value of ?
A
B
C
D
Question 71Single Answer
A mechnic builds a wall in 70 hours. Taking breaks after 7 hours . How much of the wall is still to be built ?
A
0.9
B
0.8
C
0.5
D
0.75
Question 72Single Answer
If the sum of two numbers is 75 and their difference is 25, what will be the product of both the numbers ?
A
1350
B
1250
C
125
D
100
Question 73Single Answer
The sum of marks of A and B in a test is 120, B and C is 130 and C and A are 140 . How many marks are obtained by C ?
A
65
B
75
C
70
D
60
Question 74Single Answer
A number x is divisible by 7 . When this number is divided by 8, 12 and 16, the remainder is 3 in each case . The minimum value of x is ?
A
148
B
149
C
150
D
147
Question 75Single Answer
The greatst and smallest prime numbers are less than 100, what will be the difference between then ?
A
96
B
97
C
94
D
95
Question 76Single Answer
How to write following in ascending order ?
A
B
C
D
Question 77Single Answer
The simple fraction of is ?
A
B
C
D
Question 78Single Answer
The two positive integers are such that the sum of the first number and the double of the second number is 8 and their difference is 2, What are the numbers ?
A
7 and 5
B
6 and 4
C
4 and 2
D
3 and 5
Question 79Single Answer
Which of the following statements are not correct ?
A
Every natural number is an integer
B
Every natural number is a real number
C
Every real number is a rational number
D
Every integer is a rational number
Question 80Single Answer
After his death, Ram left part of his property in the name of his widowed wife and part of the remaining property in the name of his daughter and gave the remaining property to the son . If the songets Rs. 6,400 then what was Ram's original property ?
A
Rs. 16,000
B
Rs. 32,000
C
Rs. 24,000
D
Rs. 1,600
Question 81Single Answer
The product of all prime number between 80 and 90 is ?
A
83
B
89
C
7387
D
598347
Question 82Single Answer
5349 is added to 3957. 7062 is subtracted from the amount received . The resulting number will not be divisible by ?
A
4
B
3
C
7
D
11
Question 83Single Answer
Divide 50 in to two parts such that their sum of reciprocal is ?
A
35, 15
B
20, 30
C
24, 36
D
28, 22
Question 84Single Answer
When n is divided by 6, the remainder become 4 . Accordingly, when 2n is divided by 6, what will be the remainder ?
A
2
B
0
C
4
D
1
Question 85Single Answer
'a', dibides 228 and 18 is as remainder. 'a', has the largest twodigit value ?
A
70
B
21
C
35
D
30
Question 86Single Answer
The two numbers 11284 and 7655, when divided by a threedigit number, leave equal remainder Accordingly, what is the sum of the digits of the number (SSC CHSL 2013)
A
8
B
9
C
10
D
11
Question 87Single Answer
In a division question, the divisor is 3 times the quotient and 6 times remainder . According, if the remainder is 2, then what is the divident ?
A
50
B
48
C
36
D
28
Question 88Single Answer
If a number is greater than 31 as is smaller than 75 . So, that the number is ?
A
106
B
44
C
74
D
53
Question 89Single Answer
If what will be the be the value of ?
A
10x
B
100x
C
D
Question 90Single Answer
The temperature has increased from to at a unifrorm rate from 9 : 00 and to 2 : 00 am. Accordingly, exactly what was the temperature at 12 pm ?
A
27oC
B
30oC
C
32oC
D
28.5oC
Question 91Single Answer
In a match of 20 overs, the rate of runs required to win is 7 . 2 . If the rate of runs remains 6 by the end of the 15th over, how many runs will be required to win the match in the remaining overs ?
A
1.2
B
13.2
C
10.8
D
12
Question 92Single Answer
The tens digit in a twodigit number is 5 more than the unit digit . If 5 times the sum of both these digits is subtracted from that number, the digits of that number are reversed . Accordingly, what is the sum of the digits of that number ?
A
11
B
7
C
9
D
13
Question 93Single Answer
A new number is obtained by adding 47 to the product of 71 and an unknown number . 98 quotient can be obtained by dividing that new number by 7 . Accordingly, that unknown number is a multiplier of which of the following ?
A
2
B
5
C
7
D
3
Question 94Single Answer
Find the minimum value of * for which the number 82178342*52, is divided by 11 .
A
7
B
2
C
0
D
5
Question 95Single Answer
The product of three consecutive natural number is always divisiable by which of the following digit ?
A
6
B
7
C
5
D
4
Question 96Single Answer
The product of two numbers is 0.432 . If one number is 106, what is the other number ?
A
2.7
B
0.027
C
27
D
0.27
Question 97Single Answer
If an 8 digit number 136P5785 is completely divisible by 15, find the minimum value of P .
A
1
B
4
C
2
D
3
Question 98Single Answer
Which of the following is a rational number ?
A
B
C
D
Question 99Single Answer
If the number x4441 is divided by 11, what is the value of x ?
A
2
B
5
C
4
D
3
Question 100Single Answer
The number 428693745 has a difference of local value of 9 and 5 .
A
90995
B
99995
C
89995
D
8995
Question 101Single Answer
To get number 40, the number must be multiplied by ?
A
B
C
D
Question 102Single Answer
If the number x3451 is divisible by3, where x is a digit, then the sum of all possible value of x ?
A
15
B
16
C
11
D
14
Question 103Single Answer
Which of the following number is divisible by 9 ?
A
12321
B
12345
C
45656
D
45678
Question 104Single Answer
Which of the following number is a prime number ?
A
997
B
1147
C
45654
D
45678
Question 105Single Answer
Which of the following number is divisible by 12 ?
A
53414
B
43412
C
33412
D
63412
Question 106Single Answer
What is the average of the first hundred natural numbers ?
A
50
B
50.5
C
51.5
D
51
Question 107Single Answer
How many three digit whole numbers are threre between 75 and 405 ?
A
305
B
307
C
304
D
306
Question 108Single Answer
The sum of two numbers is 29 and the difference of squares of those numbers is 145 . the differece of those numbers is .
A
13
B
5
C
8
D
11
Question 109Single Answer
The sum of the numerator and denominator of a frcaction is 55 and value of the fraction then the fraction is ?
A
B
C
D
None of these
Question 110Single Answer
What will be the value of ?
A
B
C
D
Question 111Single Answer
If a number is divided by 361, the remainder remains 47 . If the same number is divided by 19, what will be the remainder ?
A
3
B
8
C
9
D
1
Question 112Single Answer
If m and n are positive intergers and (m – n) is an even number, then (m2 - n2) will always be divisible by which of the following ?
A
4
B
6
C
8
D
12
Question 113Single Answer
If a mathematics examination marks obtained by 5 candidates are in 5 consecutive odd integers . If their total marks is 185, what is the highest number ?
A
39
B
43
C
41
D
37
Question 114Single Answer
Measure from a meter stick of one cm less in measurement, the length of clothes is 100 meters . Suppose, the measurement of meter stick is correct, then what is the actual length (cm) of the cloth ?
A
3,900
B
9,900
C
8,000
D
6,100
Question 115Single Answer
Which minimum number should be added to the largest 4 - digit number so that the amount is completely divisible by 307 ?
A
232
B
132
C
43
D
75
Question 116Single Answer
A,B,C and D bought a gift of worth Rs. 60 For that, A paid half of the others, B paid the price of others and C paid the price of others . Accordingly, how much did D pay ?
A
16
B
13
C
14
D
15
Question 117Single Answer
In a fraction when we add in both the numerator and the denominator by 2 then the fraction becomes If 3 is added to both the numerator and denominator, it become What is the fraction ?
A
B
C
D
Question 118Single Answer
The numerator of a fraction is 4 less than its denominator . If the numerator is reduced to 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator . Find the fraction .
A
B
C
D
Question 119Single Answer
Adding 335 to 5A7 obtains 8B2 . 8B2 is divisible by 3 . Accordingly, what is the maximum possible value of A ?
A
8
B
2
C
1
D
4
Question 120Single Answer
If multiply a number by 1 to 9, then the sum of the digits of the product is equal to this number in each case . Then the number is ?
A
11
B
9
C
15
D
7
Question 121Single Answer
When a number x is divided by 289 then remainder is 18 . when the same number is dibided by 17, then remainder is y . The value of y is
A
5
B
2
C
3
D
1
Question 122Single Answer
The product of two numbers is 1575 and their quotient is then the sum of the numbers ?
A
74
B
78
C
80
D
90
Question 123Single Answer
If 738A6A is divisible by 11, the value of A is .
A
6
B
3
C
9
D
1
Question 124Single Answer
When (6767 + 67) is divide by 68, then remainder is ?
A
1
B
63
C
66
D
67
Question 125Single Answer
When a number is divided by 84, then remainder is 10 . What will be the remainder if that number is divided by 12 ?
A
11
B
8
C
6
D
10
Question 126Single Answer
When a number is divisible by 119, then remainder is 15, if the same number is divided by 17, what will be the remainder ?
A
12
B
13
C
15
D
14
Question 127Single Answer
When a number is divided by 119, the remainder remains 10, when the same number is divided by 17, what will be the remainder ?
A
7
B
9
C
8
D
10
Question 128Single Answer
By dividing the number 54545 by 9, what will be the remainder ?
A
2
B
5
C
7
D
0
Question 129Single Answer
Which of the following numbers is divisible by 24 ?
A
126346
B
126336
C
127336
D
12446
Question 130Single Answer
When a number is divided by 119, there remainder is 11, what will be the remainder when the same number by divided by 17 ?
A
14
B
12
C
13
D
11
Question 131Single Answer
If A = {1, 2, 3, 4, 5, 6, 7, 8} then the number of subsets of A containing exactly two elements is .
A
20
B
28
C
45
D
60
Question 132Single Answer
If A is a relation on a set R, then which one of the following is true
A
R ⊆ A
B
A ⊆ R
C
A ⊆ (R × R)
D
R ⊆ (A × A)
Question 133Single Answer
If A = {a, b}, B = {1, 2}, C = {2, 4}, then the number of elements in A × (B È C) ?
A
2
B
4
C
6
D
8
Question 134Single Answer
If A = {x : x2 – 3x + 2 = 0} and B = {x : x2 + 2x – 8 = 0}, then (A – B) is
A
{1, 2}
B
{2}
C
{1}
D
{4, 3}
Question 135Single Answer
The function f: R → R defined by f(x) = 4x + 4|x| is
A
one - one and into
B
many one and into
C
one - one and on to
D
many one and onto
Question 136Single Answer
If f (x) = then is equal to
A
B
C
f(x)
D
–f(x)
Question 137Single Answer
If a relation R on the set N of natural numbers is defined as (x, y) ⇔ x2 – 4xy + 3y2 = 0, x & y € N . Then the relation R is
A
Reflexive
B
Symmetric
C
Transitive
D
Equivalence relation
Question 138Single Answer
The function f : R → R defined by f(x) = (x – 1) (x – 2) (x – 3) is .
A
one - one but not onto
B
onto but not one - one
C
both one - one and onto
D
neither one - one nor onto
Question 139Single Answer
If A = {1, 2}, B = {2, 3}, and C = {3, 4} then what is the cardinality of (A × B) È (A × C) ?
A
8
B
6
C
2
D
1
Question 140Single Answer
If P = {1, 2 ,3} and a relation on set P is given by the set R = {(1, 2), (1, 3), (2, 1), (1, 1), (2, 2), (3, 3), (2, 3)} . Then R is .
A
Reflexive, transitive but not symmetric
B
Symmetric, transitive but not reflexive
C
Symmetric, reflexive but not transitive
D
None of the above
Question 141Single Answer
If A = {a, b, c, d}, then cardinality of the power set P(A) ?
A
8
B
15
C
16
D
17
Question 142Single Answer
Let A and B be two sets such that n(A × B) = 6 . If three elements of A × B are (3, 2), (7, 5), (8, 5) then .
A
A = {3, 7, 8}
B
B = {2, 5, 7}
C
B = {3, 5}
D
None of these
Question 143Single Answer
If f : R → R be a function whose inverse is then what is the value of f(x) ?
A
f(x) = 3x + 5
B
f(x) = 3x – 5
C
f(x) = 5x – 3
D
Does not exist
Question 144Single Answer
If a set has 'n' elements then number of proper subsets will be ?
A
2n – 1
B
2n – 2
C
2n – 1
D
2n – 2
Question 145Single Answer
The period of the function f(x) = |sin x| + |cos x| is
A
B
π
C
2π
D
Question 146Single Answer
The function f : N → N, N being the set of natural numbers, defined by f(x) = 2x + 3 is
A
Injective and surjective
B
Injective but not surjective
C
not injective but surjective
D
Neither injective nor surjective
Question 147Single Answer
For a real number x and y, define a relation R, xRy if only if is an irrational number . Then the relation R is .
A
Reflexive
B
Symmetric
C
Transitive
D
An Equivalence relation
Question 148Single Answer
In a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither . Then, the number of students in the class who like both music and dancing is .
A
35
B
40
C
50
D
55
Question 149Single Answer
The number of elements in the power set (P) of the set S = {2,{1, 4} is .
A
2
B
4
C
8
D
None of these
Question 150Single Answer
If A = {2, 3, 5, 7, 11} and B = {1, 3, 5, 7, 9, 11} then A ∩ B ?
A
(1, 2, 3, 5)
B
(5, 7, 11, 9)
C
(3, 5, 7, 11)
D
(1, 5, 9, 11)
Question 151Single Answer
If A = {1, 2, 3, 4, 5} and B = {1, 3, 5, 7, 9} then the value of A ⨁ B will be
A
{2, 4, 7, 9}
B
{1, 3, 4, 7}
C
{1, 2, 4, 7}
D
{3, 4, 7}
Question 152Single Answer
If R = {(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)}, then value of R – 1 OR will be
A
{(1, 5), (1, 6), (3, 6)}
B
{(5, 4), (4, 1), (6, 4), (6, 7), (7, 3)}
C
{(4, 4), (1, 1), (7, 4), (7, 7)
D
{(4, 4), (1, 1), (7, 4), (7, 7), (3, 3), (4, 7)}
Question 153Single Answer
If A = (α , β) then the power set of A is
A
{αβ , βα}
B
{αα , ββ}
C
{∅{α}, {β}}
D
None of these
Question 154Single Answer
Which on of the following is correct im respect of the function f : R → R+ defined as f(x) = |x + 1| .
A
f(x2) = (f(x))2
B
f(|x|) = |f(x)|
C
f(x + y) = f(x) + f(y)
D
None of these
Question 155Single Answer
If f:R → R is defined by what is the range of f(x) ?
A
[0, 1)
B
[0, 1]
C
(0, 1]
D
(0, 1)
Question 156Single Answer
If f(x) then the domain of f(x) is .
A
(0, ∞)
B
(–∞, 0)
C
(–∞, ∞)
D
(–∞, 0)
Question 157Single Answer
If f(x) = sin x, then period of f(x) is ?
A
π/4
B
π/2
C
π
D
2π
Question 158Single Answer
If f(x) is an even function, where f(x) ≠ 0, then which one of the following is correct ?
A
f,(x) is an even function
B
f,(x) is an odd function
C
f,(x) is a constant function
D
None of the above
Question 159Single Answer
Consider the following statements : Which of the above statements are correct ?
A
1 and 2 only
B
1 and 3 only
C
2 and 3 only
D
1, 2 and 3
Question 160Single Answer
If A and B are two events such that 2P(A) = 3P(B), where 0 < P(A) < P(B) < 1, then which one of the following is correct ?
A
P(A/B) < P(B/A) < P(A ∩ B)
B
P(A ∩ B) < P(B/A) < P(A / B)
C
P(B / A) < P(A/B) < P(A ∩ B)
D
P(B ∩ A) < P(A/B) < P(B / A)
Question 161Single Answer
Consider the following in respect of set A & B .
1. (A – B) ∪ B = A 2. (A – B) ∪ A = A
3. (A – B) ∪ B = f 4. (A ⊆ B) → A ∪ B = B
Which of the above correct ?
A
1, 2 and 3
B
2, 3 and 4
C
1, 3 and 4
D
1, 2 and 4
Question 162Single Answer
If S = {x : x2 + 1 = 0}, x € R., then ' S' is
A
{–1}
B
{0}
C
{1}
D
An empty set
Question 163Single Answer
The function f : X → Y defined by f(x) = cos x, where x € X, is one-one and onto if X and Y are respectively .
A
[0, π] and [–1, 1]
B
C
[0, π] and (–1, 1)
D
[0, π] and [0, 1]
Question 164Single Answer
If f(x) = ,then = ?
A
B
C
D
Question 165Single Answer
If f(x) = px + q and g(x) = mx + n, then f(g(x)) = g(f(x)) is equivalent to
A
f(p) = g(m)
B
f(q) = g(n)
C
f(n) = g(q)
D
f(m) = g(p)
Question 166Single Answer
If f : R → R and g : R → R then (f – g) is .
A
one - one and into
B
Neither one - one nor onto
C
many one and onto
D
one - one and onto
Question 167Single Answer
Which one of the following functions is neither even nor odd ?
A
x2 – 1
B
C
|x|
D
x2(x – 3)
Question 168Single Answer
If f(a) and consider 1. f(2a) = f(a) + 1 2. = -f(a) Which of the above is/are correct ?
A
only 1
B
only 2
C
Both 1 & 2
D
Neither 1 nor 2
Question 169Single Answer
Let S be a set of all distinct numbers of the form where p, q €{1, 2, 3, 4, 5, 6}. What is the cardinality of the set S ?
A
21
B
23
C
32
D
36
Question 170Single Answer
If A = {x € R : x2 + 6x – 7 < 0} and B = {x € R : x2 + 9x + 14 > 0}, then which of the following is/are correct ?
1. A ∩ B = {x € R : – 2 < x < 1}
2. A/B = {x € R, –7 < x < – 2}
Select the correct answer using the code given below .
A
1 only
B
2 only
C
Both 1 & 2
D
Neither 1 nor 2
Question 171Single Answer
Let R be a relation from A = {1, 2, 3, 4} to B = {1, 3, 5} such that R = {(a, b) : a < b, where a € A and b € B} what is ROR–1 equal to ?
A
{(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
B
{(3, 1), (5, 1), (3, 2), (5, 2), (5, 3)(5, 4)}
C
{(3, 3), (3, 5), (5, 3), (5, 5)}
D
{(3, 3), (3, 4), (4, 5)}
Question 172Single Answer
What is the domain of function
A
(–∞, 0)
B
(0, ∞)
C
0 < x < 1
D
x > 1
Question 173Single Answer
Which one of the following statements is correct ?
1. (fof)(x) = f(x)
2. (gog)(x) = g(x), only when x = 0
3. (go(fog))(x) can take only three values
Select the correct answer using the code given below
A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1,2 and 3
Question 174Single Answer
If x2 – px + 4 > 0 for all real values of x, then which one of the following is correct ?
A
|p| < 4
B
|p| < 4
C
|p| > 4
D
|p| ≥ 4
Question 175Single Answer
If f(x1) - f(x2) = f for x1, x2 €(–1, 1), then what is f(x) equal to ?
A
B
C
D
Question 176Single Answer
Let f(x) : R → R be defined by f(x) = 2x + sinx for all x € R then f is .
A
Bijective
B
one - one but not onto
C
onto but no one one
D
Neither one - one nor onto
Question 177Single Answer
For two mutually exclusive events A and B, P(A) = 0.2 and = 0.3 what is equal to
A
B
C
D
Question 178Single Answer
If 'X' be the set of all persons in Delhi . The persons ' a ' and b in 'X' are said to be related . If the difference in their ages is at most 5 years, the relation is :
A
An equivalence relation
B
Reflexive and transitive but not symmetric
C
Symmetric and transitive but not reflexive
D
Reflexive and symmetric but not transitive
Question 179Single Answer
If g(x) = and f(x) = x, x ≥ 0, then which one of the following is correct ?
A
f(f(f(g(g(f(x)))))) = g(g(f(g(f(x)))))
B
f(f(g(g(g(f(x)))))) = g(g(f(g(f(x)))))
C
f(g(f(g(g(f(g(x))))))) = g(g(f(g(f(x)))))
D
f(f(f(g(g(f(x)))))) = f(f(f(g(f(x)))))
Question 180Single Answer
If f : R → R, g : R → R be two functions given by f(x) = 2x – 3 and g(x) = x3 + 5, then (fog)–1(x) is equal to
part girls and 
part boys attended a social camp. How many parts in the collegs students attended the camp ?
and 
?
of is positive, which of the following would be true ?
tables and 
of the chairs are broken, then how many people can work in the office, if required 1 table and 1 chair ?
is the fractions is ?
What is that number ?
What is that number ?
What is the fraction ?
?
part of his property in the name of his widowed wife and 
part of the remaining property in the name of his daughter and gave the remaining property to the son . If the songets Rs. 6,400 then what was Ram's original property ?
?
what will be the be the value of 
?
must be multiplied by ?
then the fraction is ?
?
the price of others and C paid the price 
of others . Accordingly, how much did D pay ?
If 3 is added to both the numerator and denominator, it become 
What is the fraction ? 
then the sum of the numbers ?
then 
is equal to
then what is the value of f(x) ?
what is the range of f(x) ?
then the domain of f(x) is .
,then 
= ?
If f : R → R and g : R → R then (f – g) is .
and consider
= -f(a)
where p, q €{1, 2, 3, 4, 5, 6}. What is the cardinality of the set S ?
for x1, x2 €(–1, 1), then what is f(x) equal to ?
= 0.3 what is 
equal to
and f(x) = x, x ≥ 0, then which one of the following is correct ?
