**The digits of a two-digit number are in the ratio of 2 : 3 and the number obtained by interchanging the digits is bigger than the original number by 27.What is the original number?**

A. 63

B. 48

C. 96

D. 69

Answer

Option (D) is correct

**Explanation:-**

Lets digit at tens and ones place be 2X and 3X

So,number is (2X x 10) + 3X

After interchanging number will be (3X x 10) +2X

so, [(3X x 10) +2X] – [(2X x 10) + 3X]27

we get,X=3

so number =69

**What least number would be subtracted from 427398 so that the remaining number is divisible by 15?**

A. 13

B. 3

C. 16

D. 11

Answer

Option (b) is correct

**Explanation:-**

On dividing 427398 by 15 we get the remainder 3,

so 3 should be subtracted

**In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:**

A.4236

B.4306

C.4336

D.5336

Answer

Option (d) is correct

**Explanation –**

Divisor = (5 x 46) = 230.

Also, 10 x Q = 230

Q = 23. And, R = 46.

Dividend = (230 x 23 + 46) = 5336

**A number gets reduced to its one-third when 48 is subtracted from it. What is two-third of that number?**

A. 22

B. 76

C. 36

D. 48

Answer

Option (d) is correct

**Expalanation –**

Let number be X

X-48 = X/3

X-X/3 =48

2/3X= 48

so 2/3th of number=48

**One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.**

A. 39

B. 70

C. 40

D. 25

Answer

Option (c) is correct

**Explanation:-**

(1/5)x =(5/8)y………..1

if 35 is added to first no. , x + 35= 4y

so,x= 4y -35

put in eq 1… (1/5)( 4y-35) = (5/8)y

y=40 =second number

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