**1. The population of a village is 78692. Out of which 29642 are men and 28167 are women and the remaining are children. Then the number of children is-**

**A. 20883**

B. 21883

C. 20893

D. 20783

**( men + women + children= 78692**

**Children= 78692-29642-28167=20883)**

**2. Which of the following statement is true?**

**A. 1 is not a prime number**

B. 1 is a prime number

C. 1 is a composite number

D. 2 is not a prime number

**( 1 is a natural number)**

**3. What is the least common multiple (LCM) of the numbers 90, 60, 75 and 35?**

A. 2700

**B. 6300**

C. 4250

D. 2750

**(L.C.M of 90, 60,75 and 35 = 6300)**

**4. The value of (P/Q)^m (Q/R)^m (R/P)^m will be-**

A. P

B. Q

C. R

**D. 1**

**( (P/Q)^m (Q/R)^m (R/P)^m = P^m /Q^m x Q^m /R^m x R^m /P^m = 1)**

**5. The sum of all numbers between 200 and 400 which are divisible by 7 is-**

A. 8722

B. 8736

**C. 8729**

D. 8720

**(203, 210, 217, ………, 399**

**Sum of series = n/2(2a+(n-1)d)**

**N= no. of terms= 29, a= 203, d= 7**

**S= 29/2 (2x 203+(29-1)7)**

**8729 ans)**

**6. The simplest form of 5/6×2/9+2/9÷6/7 is-**

**A. 0.44**

B. 0.32

C. 0.49

D. 0.36

**(5/6 x 2/9 +2/9 x 7/6 = 10/54 + 14/54 = 24/54 = 0.44 ans)**

**7. Average age of A,B and C are 10 yrs. If the average age of A and C is 9 yrs, then how many years old is B?**

A. 9

B. 10

C. 11

**D. 12**

**( (A+B+C)/3 = 10…….A+B+C = 30**

**Similarly, A+C =18**

**Now, (A+C)+B = 30 yrs**

**18 + B = 30 yr….B= 30-18 = 12 yr)**

**8. m and n are two positive integers. If m^n=25, then what is the value of n^m?**

A. 4

B. 10

C. 25

**D. 32**

**(m^n =25…..i.e 5^2 = 25**

**m= 5 and n= 2**

**∴ n^m = 2^5 )**

**9. Sum of a number of two digits and the number obtained by reversing the digits of the first number is 110. If the difference of the digits is 4, then the number is-**

A. 62

**B. 73**

C. 84

D. 51

**( Let the two digit number be 10x + y**

**By reversing it, 10y + x**

**Sum = 10x + y + 10y + x**

**11x + 11y = 110**

**x + y = 10 and as, x – y = 4(given)**

**∴ 2x = 14…. x = 7 and y = 3**

**So, the number is 73 )**

**10. The H.C.F of two numbers is 11 and their L.C.M is 693. If one of the numbers is 77, then the other number is-**

A. 88

B. 33

**C. 99**

D. none of these

**(Product of two numbers = H.C.F x L.C.M of numbers**

**77 x other number = 11 x 693**

**Other number = 11 x 693/77**

**99 ans)**