If you’re preparing for Basic Arithmetic job interview and whether you’re experienced or fresher & don’t know what kind of questions will be asked in Basic Arithmetic interview, then go through the below Real Time 50+ Top Basic Arithmetic Interview Questions and Answers to crack your job interview.
Basic Arithmetic Interview Questions and Answers
Question: (?) + 2763 + 1254 1967 =26988
Answer :
x = 28955 4017
= 24938.
Question: (11/n)+( 12/n)+(13/n)+…… Up To N Terms=?
Answer :
Given sum=(1+1+1+…. to n terms)(1/n+2/n+3/n+…. to n terms)
= n(n(n+1)/2)/n
= n(n+1)/2=1/2(n1).
Question: 1004*1004+996*996=
Answer :
= (1004)2+(996)2=(1000+4)2+(10004)2
= (1000)2 + (4)2 + 2*1000*4 + (1000)2 + (4)2 2*100*4
= 2000000 +32 = 2000032
Question: 3621 X 137 + 3621 X 63 = ?
Answer :
3621 x 137 + 3621 x 63 = 3621 x (137 + 63)
= (3621 x 200)
= 724200
Question: 597**6 Is Divisible By Both 3 And 11. The Nonzero Digits In The Hundred’s And Ten’s Places Are Respectively?
Answer :
Let the given number be 597xy6.
Then (5+9+7+x+y+6)=(27+x+y) must be divisible by 3
And, (6+x+9)(y+7+5)=(xy+3) must be either 0 or divisible by 11. xy+3=0
=> y=x+3 27+x+y)
=>(27+x+x+3)
=>(30+2x)
=> x = 3 and y = 6.
Question: 96 X 96 + 84 X 84 = ?
Answer :
= 96 x 96 + 84 x 84 = (96)2 + (84)2
= (90 + 6)2 + (90 6)2
= 2 x [(90)2 + (6)2]
=16272
Question: A 4 Digit Number 8a43 Is Added To Another 4 Digit Number 3121 To Give A 5 Digit Number 11b64, Which Is Divisible By 11, Then (a+b)=?
Answer :
a+1=b
=> ba=1.
and 11b64 is divisible by 11
=> (4+b+1)(6+1)=0
=> b2=0
=> b=2.
so, a=1
=>(a+b)= 3.
Question: A Number When Divided By The Sum Of 333 And 222 Gives Three Times Their Difference The Quotient And 62 As The Remainder. The Number Is?
Answer :
Required number = (333+222)×3×111+62
= 184877
Question: A Two Digit Number Is Such That The Product Of The Digits Is 6. When 45 Is Added To The Number, Then The Digits Are Reversed. The Number Is:
Answer :
Let the ten’s and unit digit be x and 8/x respectively.
Then, 10x + 6/x + 45 = 10 x 6/x + x
=> 10×2 + 6 + 45x = 60 + x2
=> 9×2 + 45x 54
= 0
=> x2 + 5x 6
= 0
=> (x + 6)(x 1)
= 0
=> x = 1
So the number is 16
Question: Find The Number Which Is Nearest To 457 And Is Exactly Divisible By 11.
Answer :
On dividing 457 by 11, remainder is 6.
Required number is either 451 or 462.
Nearest to 456 is 462.
Question: Find The Remainder When 3^27 Is Divided By 5?
Answer :
3^27= ((3^4)^6) * (3^3) = (81^6) * 27 then unit digit of (81^6) is 1 so on multiplying with 27, unit digit in the result will be 7. now, 7 when divided by 5 gives 2 as remainder.
Question: Here The Sum Of The Series Is 4+8+12+16+….. =612. Find How Many Terms Are There In The Series?
Answer :
This is an A.P. in which a=4, d=4 and Sn=612
Then, n/2[2a+(n1)d]=612 => n/2[2*4+(n1)*4]=612
=> 4n/2(n+1)=612
=> n(n+1)=306
=> n^2+n306=0
=> n^2+18n17n306=0
=> n(n+18)17(n+18)=0
=> (n+18)(n17)=0
=> n=17.
Number of terms=17.
Question: How Many 4 Digit Numbers Are Completely Divisible By 7?
Answer :
4digit
numbers divisible by 7 are: 1001, 1008, 1015….. 9996.
This is an A.P. in which a=1001, d=7, l=9996.
Let the number of terms be n.
Then Tn=9996. .’. a+(n1)d=9996
=> 1001+(n1)7= 9996
=>(n1)7=8995
=>(n1)=8995/7= 1285
=> n=1286.
.’. number of terms =1286.
Question: How Many Natural Numbers Are There Between 17 And 84 Which Are Exactly Divisible By 6?
Answer :
Required numbers are 18,24,30,…..84
This is an A.P a=18,d=6,l=84
84=a+(n1)d
n=12
Question: How Many Natural Numbers Between 23 And 137 Are Divisible By 7?
Answer :
These numbers are 28, 35, 42,…., 133.
This is in A.P. in which a= 28, d=(3528)= 7 and L=133.
Let the number of there terms be n. then, Tn=133
a+(n1)d=133 by solving this we will get n=16.
Question: How Many Of The Following Numbers Are Divisible By 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6331
Answer :
132 = 4 x 3 x 11
So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.
264,396,792 are divisible by 132.
Required answer =3
Question: If (55^55+55) Is Divided By 56, Then The Remainder Is:?
Answer :
(x^n+1) is divisible by (x+1), when n is odd.
.’. (55^55+1) is divisible by (55+1)=56. when (55^55+1)+54 is divided by 56, the remainder is 54.
Question: If N Is A Natural Number, Then (7(n2) + 7n) Is Always Divisible By:
Answer :
(7n2 + 7n) = 7n(n + 1), which is always divisible by 7 and 14 both, since n(n + 1) is always even.
Question: If The Number 13 * 4 Is Divisible By 6, Then * = ?
Answer :
6 = 3 x 2.
Clearly, 13 * 4 is divisible by 2.
Replace * by x.
Then, (1 + 3 + x + 4) must be divisible by 3.
So, x = 1.
Question: If The Number 24*32 Is Completely Divisible By 6. What Is The Smallest Whole Number In The Place Of *?
Answer :
The number is divisible by 6 means it must be divisible by 2 and 3. Since the number has 2 as its end digit it is divisible by 2. Now, 2+4+x+3+2=11+x which must be divisible by 3. Thus x=1
Question: If The Product 5465 X 6k4 Is Divisible By 15, Then The Value Of K Is
Answer :
5465 is divisible by 5.
So 6K4 must be divisible by 3.
So (6+K+4) must be divisible by 3.
K = 2
Question: If The Sum Of 1st N Integers Is 55 Then What Is N?
Answer :
sum=n(n+1)/2
sum=55
n^2+n=55*2
n^2+n110=0
(n10)(n+11)=0
n=10,11,neglect negative ans
answer =10
Question: It Is Being Given That (5^32+1) Is Completely Divisible By A Whole Number. Which Of The Following Numbers Is Completely Divisible By This Number?
Answer :
Let 5^32=x.
Then (5^32+1)=(x+1). Let (x+1) be completely divisible by the whole number Y.
then (5^96+1)=[(5^32)^3+1]=>(x^3+1)=(x+1)(x^2x+1) which is completely divisible by Y.
since (x+1) is divisible by Y.
Question: On Dividing A Certain Number By 234, We Get 43 As Remainder. If The Same Number Is Divided By 13, What Will Be The Remainder?
Answer :
suppose that on dividing the given number by 234,
we get quotient=x and remainder= 43
then, number= 234*x+43—–>(1).
=> (13*18x)+(13*3)+4
=> 13*(18x+3)+4.
So, the number when divided by 13 gives remainder=4.
Question: P Is A Whole Number Which When Divided By 5 Gives 2 As Remainder. What Will Be The Remainder When 3p Is Divided By 5 ?
Answer :
Let P = 5x + 2.
Then 3P = 15x + 6
= 5(3x + 1 ) + 1
Thus, when 3P is divided by 5, the remainder is 1.
Question: The Difference Between The Place Values Of Two Eights In The Numeral 97958481 Is?
Answer :
Required difference = (8000 80)
= 7920
Question: The Difference Of The Cubes Of Two Consecutive Even Integers Is Divisible By Which Of The Following Integers?
Answer :
let take 2 consecutive even numbers 2 and 4.
=> (4*4*4)(2*2*2)=648=56 which is divisible by 4.
Question: The Difference Of Two Numbers Is 1097. On Dividing The Larger Number By The Smaller, We Get 10 As Quotient And The 17 As Remainder. What Is The Smaller Number ?
Answer :
Let the smaller number be x.
Then larger number = (x + 1097)
x + 1097 = 10x + 17
9x = 1080
x = 120
Question: The Product Of Two Numbers Is 20. The Sum Of Squares Of The Two Numbers Is 81.find The Sum Of The Numbers.?
Answer :
Let the numbers be x,y.
=> x2+y2=81,
=> 2(x+y)=40,
=> (x+y)2=81+40=121,
=> x+y=sqrt(121)=11
Question: The Product Of Two Numbers Is 436 And The Sum Of Their Squares Is 186. The Difference Of The Numbers Is:
Answer :
Let the numbers be x and y.
Then, xy = 186 and x2 + y2 = 436.
=> (x y)
2 = x2 + y2 2xy
= 436 (
2 x 186)
= 64
=> x y
= SQRT(64)
= 8.
Question: The Sum Of Digits Of A Two Digit Number Is 13,the Difference Between The Digits Is 5. Find The Number.?
Answer :
=> x+y=13, xy=5
Adding these 2x =18
=> x=9, y=4.
Thus the number is 94
Question: The Sum Of First 75 Natural Numbers Is?
Answer :
Formula is n(n+1)/2,
Here n=75.
So the answer is 2850
Question: The Sum Of Two Numbers Is 30. The Difference Between The Two Numbers Is 20. Find The Product Of Two Numbers?
Answer :
=> x+y=30
=> xy=20
=> (x+y)2(xy)2 = 4xy
=> 4xy=302202=500
=> xy=500/4=125
Question: Two Third Of Three Fourth Of A Number Is 24. Then One Third Of That Number Is?
Answer :
=> (2/3)*(3/4)*x = 24
=> x=48,1/3x = 16
Question: Two Times The Second Of Three Consecutive Odd Integers Is 6 More Than The Third. The Third Integer Is?
Answer :
Let the three integers be x, x + 2 and x + 4.
Then, 2(x+2) = (x + 4) + 6
=> x = 6.
Third integer = x + 4 = 10.
Question: What Is The Least Number That Must Be Subtracted 2458 So That It Becomes Completely Divisible By 13?
Answer :
Divide 2458 by 13 and we get remainder as 1.
Then 131=12.
Adding 12 to 2458 we get 2470 which is divisible by 13.
Thus answer is 1.
Question: What Is The Smallest Number Should Be Added To 5377 So That The Sum Is Completely Divisible By 7?
Answer :
Divide 5377 with 7 we get remainder as 1. so, add 6 to the given number so that it will divisible by 7.
Question: Which Natural Number Is Nearest To 6475, Which Is Completely Divisible By 55 ?
Answer :
(6475/55)
Remainder =40
647540=6435
Question: Which Of The Following Is Not A Prime Number?
Answer :
133 is divisible by 7.
Rest of numbers is not divisible by any numbers except itself and 1.
Question: Which Of The Following Numbers Will Completely Divide (36^11 1) ?
Answer :
=> (xn 1) will be divisible by (x + 1) only when n is even.
=> (36^11 1)
= {(6^2)^11 1}
= (6^22 1),which is divisible by (6 +1)
i.e., 7.