JEE Questions for Maths Miscellaneous Quiz 1 - MCQExams.com


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  • 2)
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  • 20
In the group G = {0,1, 2, 3, 4, 5} under addition modulo 6, (2 +6 3-1 +6 4)-1 is equal to
  • 2
  • 3
  • 5
  • 0
Which one of the following is not correct?
  • Inverse of an element in a group is unique
  • Fourth roots of unity form an additive abelian group
  • Cancellation laws hold in a group
  • Identity element in a group is unique
The remainder obtained when 1! + 2! + 3 ! + ..... + 11 ! is divided by 12 is
  • 9
  • 8
  • 7
  • 6
The last three digit in 332 is
  • 841
  • 541
  • 941
  • None of these
The sum of all proper divisors of 9900 is
  • 29351
  • 23951
  • 33851
  • None of these
The least positive remainder, when 123 × 125 × 127 is divided by 124 is
  • 120
  • 4
  • 121
  • 130
The last digit of number 7886 is
  • 9
  • 7
  • 3
  • 1
The sum of 1 × 1! + 2 × 2! + ...... + 50 × 50! equals
  • 51!
  • 51! - 1
  • 51! + 1
  • 2 × 51!
The digit in the unit's place of 7171 + ( 177 ) ! is
  • 3
  • 2
  • 1
  • 0
The sum of all positive divisors of 242 except 1 and itself is
  • 156
  • 242
  • 342
  • 399
If ax + by = 1 , where a, b , x and y are integers, then which one of the following is not correct?
  • ( a , y ) = 1
  • ( x , y ) = 1
  • ( b , y ) = 1
  • ( a , b ) = 1
The digit in the unit's place of the number 2009! + 3 7886 is
  • 7
  • 3
  • 1
  • 9
When 599 is divided by 13, then the remainder is
  • 6
  • 7
  • 8
  • 9
The number of positive divisors of 252 is
  • 9
  • 5
  • 18
  • 10
The remainder, when 3100 × 250 is divided by 5, is
  • 1
  • 2
  • 3
  • 4
If p and q are prime numbers satisfying the condition p2 - 2q2 =1, then the value of p2 + 2q2 is
  • 5
  • 15
  • 16
  • 17
The digit in the unit's place of 5834 is
  • 0
  • 1
  • 3
  • 5
The remainder, when 550 is divided by 7, is
  • 1
  • 2
  • 4
  • None of these
If a and b are positive integers such that a 2 - b 2 is a prime number, then a 2 - b 2 is equal to
  • a + b
  • a - b
  • ab
  • 1
When 2301 is divided by 5 , the least positive remainder is
  • 4
  • 8
  • 2
  • 6
Number of divisors of the form ( 4n + 2 ) , n ≥ 0 of the integer 240 is
  • 4
  • 8
  • 10
  • 3
The GCD of 1080 and 675 is
  • 145
  • 135
  • 225
  • 125
The remainder obtained, when (1!)2 + (2!)2 + (3!)2 + ...... + (100!)2 is divided by 102 , is
  • 27
  • 28
  • 17
  • 14
The unit's place digit in the number 1325 +1125 - 325 is
  • 0
  • 1
  • 2
  • 3
The number of divisors of 3 × 73 , 7 × 112 and 2 × 61 are in
  • AP
  • GP
  • HP
  • None of these
The digit in the unit's place in the number 7289 is
  • 9
  • 7
  • 1
  • 3
The greatest integer, which divides the number (101100 -is
  • 100
  • 1000
  • 10000
  • None of the above
Binary number (100101)2 is equal to
  • 37
  • 36
  • 34
  • 32
The decimal equivalent of the binary number (1111001101)2 is
  • (970)10
  • (973)10
  • (975)10
  • None of these
The binary equivalent of 634.040625 is
  • 1001111010.101001
  • 1110001001.101001
  • 0111100101.110101
  • None of these
The decimal equivalent to the binary number 10110110 is
  • 9
  • 30
  • 32
  • 182
(10101101)2 = (.....................)10
  • 137
  • 173
  • 170
  • None of these
By using Newton-Raphson method, the root of x4 - x -10 = 0 , which is nearer to x = 2, correct to three places of decimal, is
  • 2.021
  • 1.856
  • 1.956
  • 1.586

Maths-Miscellaneous-41243.png
  • 8 x
  • 6 x
  • 5 x2
  • 6 x2
In the usual, notation, the value of ∆ ∇ is equal to
  • ∆ -∇
  • ∆ +∇
  • ∇ - ∆
  • None of these
By the False position method, the root of the equation x3 - 9x +1= 0 lies in the interval (2,after first iteration. It is
  • 3
  • 2.5
  • 3.57
  • 2.47
If f (x) = a,a ∈ R, then
  • ∇ f (x) = 0
  • ∇ f (x) = a
  • ∇ f (x) = 2a
  • ∇ f (x) = a2
∆2 (3e x )is equal to
  • 3e x
  • 3(h - 1)e x
  • 3(e h - 1)2e x
  • None of these
If f (= 10 and f (= 14, then using Newton's forward formula f (1.is equal to
  • 12.2
  • 11.2
  • 10.2
  • 15.2
The vertex connectivity of any tree is
  • one
  • two
  • three
  • None of the above
In the group G = {l, 2, 3, 4, 5, 6} under ⊗7 , the solution of 4 ⊗7 x = 5 is
  • 3
  • 2
  • 4
  • 5
The number of subgroups of the group (Z5 , +5 ) is
  • 1
  • 3
  • 4
  • 2
On the set Z of all integers * is defined by a * b = a + b - 5. If 2* (x *= 5, then x is equal to
  • 0
  • 3
  • 5
  • 10
The set {-1, 0,1} is not a multiplicative group because of the failure of
  • closure law
  • associative law
  • identity law
  • inverse law
A group (G, *) has 10 elements. The minimum number of elements of G, which are their own inverses, is
  • 2
  • 1
  • 9
  • 0
In the group (G, ⊗15 ), where G = {3, 6, 9,12}, ⨁15 is multiplication modulo 15, the identity element is
  • 3
  • 6
  • 12
  • 9
In a group G = {1,3,7,9} under multiplication modulo 10, the inverse of 7 is
  • 7
  • 3
  • 9
  • 1
In the group G= {1,2,3, 4} under multiplication modulo 5, (3 × 5 4)-1 is equal to
  • 4
  • 3
  • 2
  • 1
A subset of the additive group of real numbers, which is not a subgroup, is
  • ( {0}, + )
  • (Z, +)
  • (N, +)
  • (Q, +)
0:0:1


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