NUMBER SYSTEM

 NUMBER SYSTEM

1.Let F be a product of any 15 consecutive natural numbers. Is F divisible by 143?

Ans: B) Definitely Yes

2.A woman leaves one fourth of her estate to her son and one third of her estate to her daughter. If she leaves the balance of $1000 to charity, how large was her estate in dollars?

ANS:B)2400

3.When three times certain number is added to twice its reciprocal, the result is 5. The number is

Ans: A) 1

4.Find the number of zeros at the end of the product 100 × 101 × 102 × ......... × 200

Ans: C)27

5.If x = b + c, y = c – a, z = a – b, then, the value of x2 + y2 +z2 – 2xy – 2xz + 2yz

Ans: B)4b2

6.Let x, y, z be three positive real numbers where x × y × z = 1. Then, the minimum value of (1 + x) (1 + y) (1 + z) is

Ans: C) 8

7.The value of 343 + (12 × 49) + (8 + 12 + 24) 7 + 48 is

Ans: D) 9*11*13

8.The sum of the square of three consecutive numbers is 2030. What is the middle number?

Ans: B) 26

9.The ages of the father and mother today are 6 times and 5 times that of their son respectively. After six years, the age of the mother would be 3 times that of the son. How old is father today?

Ans: C) 36 Years

10.The remainder when 239 is divided by 39 is :

Ans: C) 8

11.The sum of the reciprocals of two positive numbers is 45. If one of the number is double the others, what is the sum of these two numbers?

Ans: C)0.1 

12.How many times the digit zero would appear in the sequence of whole numbers upto (and including) 100 ?

Ans: D )12

13.The ages of the younger son, the elder son and their father are in continuous proportion today. If the younger son is 6 years old and the sum of the ages of the elder son and the father is 72 years, how old is the elder son today?

Ans: A) 18 years

14.The ages of the younger son, the elder son and their father are in continuous proportion today. If the younger son is 6 years old and the sum of the ages of the elder son and the father is 72 years, how old is the elder son today?

Ans: A) 24

15.The unit digit of the following expression (1!)99 + (2!)98 + (3!)97 + (4!)96 + …. (99!)1 is:

Ans C) 7

16.The product of a two-digit number and a number consisting of the same digits written in the reverse order is equal to 2430. Find the lower number.

Ans : B)45

17.Numbers A, B and C are integral multiples of 3, 5 and 7 respectively. If A is also divisible by 4 and C also divisible by 2, and ABC divisible by 16, then ‘B’ should also be divisible by

Ans D) Depends on the values 0f A and C

18.The remainder of 65^64 / 50 is

Ans: D)25

19.What is the least number which when divided by 12, 14 and 16 leaves a remainder of 7?

Ans: A) 343

20.f ratio between two numbers is 3 : 4 and their LCM is 180. The first number is:

Ans: B) 45