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The Sum Of All Two Digit Natural Numbers Which Leave A Remainder 5 When They Are Divided By 7 Is Equal To

(1) 715 (2) 702 (3) 615 (4) 602 Solution: The numbers are 12, 19, ....96 Here a = 12, d = 19-12 = 7 Last term, L = 96... View Article

The Arithmetic Mean Of 7 Consecutive Integers Starting With A Is M Then The Arithmetic Mean Of 11 Consecutive Integers Starting With A 2 Is

(1) 2a (2) 2m (3) a+4 (4) m+4 Solution: Given the arithmetic mean of 7 consecutive integers starting with a is m. So common difference =... View Article

If The Sum To First N Terms Of An Ap 2 4 6 Is 240 Then The Value Of N Is

(1) 14 (2) 15 (3) 16 (4) 17 Solution: Here first term a = 2 Common difference, d = 4-2 = 2 Sum of n terms = (n/2)(2a+(n-1)d) =... View Article

A Person Is To Count 4500 Currency Notes Let An Denote The Number Of Notes He Counts In The Nth Minute

(1) 24 min (2) 34 min (3) 125 min (4) 135 min Solution: There are a total 4500 notes. Given a1 = a2 = ... = a10 = 150 So the... View Article

If S1 S2 And S3 Are The Sum Of N 2n And 3n Terms Respectively Of An Arithmetic Progression Then

(1) S3 = 2(S1 + S2 ) (2) S3 = S1 + S2 (3) S3 = 3(S2 - S1) (4) S3 = 3(S2 + S1) Solution: S1 = (n/2)(2a+(n-1)d) …(i) S2 =... View Article

The First Four Terms Of An Ap Are A 9 3a B 3a B The 2011 Th Term Of An Ap Is

(1) 2015 (2) 4025 (3) 5030 (4) 8045 Solution: Given a, 9, 3a-b, 3a+b are in AP. Common difference d = 9-a Second term - first... View Article

If The Numbers A B C D And E Are In The Form Of An Ap With A 1 Then A 4b 6c 4d E Is Equal To

(1) 1 (2) 2 (3) 0 (4) 3 Solution: Given a,b,c,d,e are in AP. Let D be the common difference. b = a+D c = a+2D d = a+3D e =... View Article

Let An Be The Nth Term Of An Ap If Sigma R 1 To 100 Alpha And A2r 1 Beta Then The Common Difference Of An Ap Is

(1) (α-β)/200 (2) (α-β)/100 (3) (α-β) (4) β-α Solution: Given ∑r=1100 a2r = α ∑r=1100 a2r-1 = β a2+a4+a6+....+a200 = α …(i)... View Article

Six Numbers Are In An Ap Such That Their Sum Is 3 The First Term Is 4 Times The Third Term Then The Fifth Term Is

(1) - 15 (2) - 3 (3) 9 (4) - 4 Solution: Let a-5d, a-3d, a-d, a+d, a+3d, a+5d are the numbers in AP. Sum = 3 a-5d+ a-3d+... View Article

If 100 Times The 100th Term Of An Ap With Non Zero Common Difference Equals To 50 Times Its 50th Term Then The 150th Term Of An Ap Is

(1) - 150 (2) 150 times its 50th term (3) 150 (4) Zero Solution: Let d be the common difference and a be the first term of an... View Article

If Log10 2 Log10 2x 1 And Log10 2x 3 Are In Ap Then X Is Equal To

(1) log2 5 (2) log2 (- 1) (3) log2 (1/5) (4) log5 2 Solution: Given log10 2, log10 (2x- 1) and log10(2x + 3) are in AP. So 2... View Article

In An Arithmetic Progression A1 A2 A3 Sum S Eq A12 A22 A32 Is Equal To

(1) (k/2k-1)(a12-a2k2) (2) (2k/2k-1)(a2k2-a12) (3) (k/2k-1)(a2k2-a12) (4) None of these Solution: Given a1, a2, a3 ...are in... View Article

What Is Bigger The Sun Or The Earth

The Sun is the largest, most massive object in the Solar System by far. The diameter of the Sun is 1,390,000 km. Just for comparison, the... View Article

Why Is Alcl3 A Lewis Acid

Aluminum chloride (AlCl3) is a Lewis acid because the aluminum atom has an open valence shell. When aluminum chloride is under discussion it is... View Article

How Do You Explain The Relationship Between Voltage And Current

Current = voltage/resistance I = V/R Where V is voltage, measured in volt; I is current, measured in ampere; R is resistance, measured in ohm. If... View Article

What Enzymes Are Used In Dna Replication

Deoxyribonucleic acid (DNA) is a nucleic acid that is made up of three components: a deoxyribose sugar, a phosphate, and a nitrogenous base. DNA... View Article

What Types Of Rocks Contain Fossils

Fossils are most commonly found in sedimentary rock among the three major rocks. Unlike most igneous and metamorphic rocks, sedimentary rocks... View Article

What Is The Perimeter Of A Quadrant Of A Circle With Radius 3cm

If S is the circumference of the circle with radius r=3 then S=2⋅π⋅r The perimeter of a quadrant is equal to S/4 = π⋅r/2... View Article

What Is The Si Unit Used To Measure The Amount Of Substance

Mole is used to represent the amount of a substance. For an element or a compound, the mole is given by n= Weightingrams/MolecularWeight SI unit... View Article

What Is Uraniums Electron Configuration

Uranium is basically an element of the chemical, which is symbolized by the U and further having the atomic number as 92. The Electronic... View Article