Reference no: EM132361566

Number Systems -

Q1: Rajesh wants to distribute a pair of chocolates to each of his students whose roll numbers are prime numbers. In all, there are 109 students in his class with roll numbers from 1 to 109. How many chocolates must he buy for this purpose?

Q2: Find out whether 337 and. 343 are prime numbers.

Q3: If A = 2¹⁰¹ - 2, then A is always divisible by: (1) 100 (2) 99 (3) 101 (4) 2.

Q4: Convert 51(2/7) into an improper fraction.

SIMPLIFICATION -

Part A -

Q1. (125)^2/3 = ?

Q2. (32/243)^{- 4/5} = ?

Q3. (289)(22)(38)(41)(91)/(19)(34)(123)(11)(119)(26) = ?

Q4. (⁴_√4)¹⁶ = ?

Q5. The value of

(3/1².2²) + (5/2².3²) + 7/(3².4²) + (9/4².5²) + (11/5².6²) + (13/6².7²) + (15/7².8²) + (17/8².9²) + (19/9².10²) = ?

Q6. If (a + b + 2c + 3d ) (a - b - 2c + 3d) = (a - b + 2c - 3d) (a + b - 2c - 3d), then bc = ?

Q7. Peter gave one fourth of the amount he had to Michael. Michael in turn gave half of what he received from Peter to Sam. If the difference between the remaining amount with peter and the amount received by the Sam is 500 Rs, how much money die Michael received from Peter?

Q8. One - third of the boys and one-half the of girls of a college participated in social work project. If the number of participating student is 300, out of which 100 are boys. What is the total number of student in the college?

Q9. Simplify

Q10. x + y + z = 12, x² + y² + z² = 44 find xy + yz + zx = ?

Part B -

Q3. [111 × 111 × 111 - 999 × 999 × 999] ÷ [111 × 111 + 111 × 999 + 999 × 999]

Q4. In 1999 Ram read 10 English books and 7 French books. In 2000, He read twice as many French books as English books. If 60% of the books that he reads during the two years were French, How many books did He read in 2000?

Q5. If 1/7 of the pencil is green, if 3/4 of the remaining is pink and the remaining 1(3/7) cm is yellow, then find the length of the pencil?

Q6. Find the value of (1 - 1/3) (1 - 1/4) (1 - 1/5) (1 - 1/6) .................... (1 - 1/100).

Q7. Find the simplified value of