**691. If the number obtained on interchanging the digits of a two-digit number is 18 more than the original number and the sum of the digits is 8, then what is the original number ?**

A. 26**B. 35**

C. 53

D. Cannot be determined

**692. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is :_________?**

A. 18**B. 24**

C. 42

D. 81

**693. Find the number which when multiplied by 15 is increased by 196.****A. 14**

B. 20

C. 26

D. 28

**Explanation:****Let the number be x. Then, 15x – x = 196****14x = 196 x = 14.**

**694. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :___________?****A. 20**

B. 30

C. 40

D. None of these

**695. Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :___________?**

A. 6

B. 12**C. 18**

D. None of these

**Explanation:****Let the numbers be 3x, 4x and 6x.****Then, 3x x 4x x 6x = 1944 72×3 = 1944****x3 = 27 ,=> x = 3****∴ Largest number = 6x = 18,**

**696. If the sum of a number and its square is 182, what is the number ?**

A. 15

B. 26

C. 28**D. 13**

**Explanation:****Let the number be x.****Then, x + x2 = 182 x2 + x – 182 = 0****(x + 14) (x – 13) = 0 x = 13.**

**697. The sum of two numbers is 25 and their ****difference**** is 13. Find their product :**

A. 104**B. 114**

C. 315

D. 325

**Explanation:****Let the numbers be x and y. Then, x + y = 25 and x – y = 13.****4xy = (x + y)2 – (x – y)2 = (25)2 – (13)2 = 625- 169 = 456****=> xy = 114.**

**698. If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________?****A. 9**

B. 12

C. 15

D. 18

**Explanation:****Let the numbers be x and y.****Then, x + y = 33 …(i)****and x – y = 15 …(ii)****Solving (i) and (ii), we get : x = 24, y = 9.****∴ Smaller number = 9.**

**699. A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?**

A. 3 km

B. 4 km

C. 5 km**D. 6 km**

**700. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.**

A. 121 km

B. 242 km**C. 224 km**

D. 112 km