Directions (1-5): What will come in place of the question mark (?) in the following number series ?
Q1. 1401, 1402, 705, ?, 77
÷1+1², ÷2+2², ÷3+3², ÷4+4², .............
⇒705 ÷ 3 + 3² = 244
Q2. 10, 6, 12, 35, ?, 591.75
×0.5+1, ×1.5+3, ×2.5+5, ×3.5+7...........
⇒ 35 × 3.5 + 7 = 129.5
Q3. 390, 198, ?, 54, 30, 18
-192, -96, -48, -24, -12
Q4. 10, 77, 474, ?, 9556, 28683
×7+7×1, ×6+6×2, ×5+5×3, ×4+4×4, ×3+3×5............
So, 474 × 5 + 15 = 2385
Q5. 150, 50, 131, 67, 116, ?, 105
-10², +9², -8², +7², -6², +5², -4²........
Q6. There are two circles of different raddi. The area of a square is 196 sq. cm, whose side is half of the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle?
Q7. The ratio between the angles of a quadrilateral is 3 : 4 : 6 : 7. Half of the second largest angle of the quadrilateral is equal to the smaller angle of a parallelogram. What is the value of adjacent angle to the smaller angle of the parallelogram ?
Q8. A semi-circular sheet of metal of diameter 28 cm is bent into an open conical cup. The depth of the cup is approximately
Q9. In how many different ways can the letters of the word ‘RUMMY’ be arranged?
Q10. If the perimeter of a rectangle and a square are equal and the ratio of 2 adjacent sides of a rectangle is 2:1. Then find the ratio of area of rectangle and area of square.
Directions (11-15): Study the pie-chart carefully to answer the following questions.
Ratio of good and bad cars produced in factory
Q11. Find the ratio of total number of good cars of the companies Alto, Swift and Sedan together to the total number of bad cars of the companies Ferrari, Mercedes and Suzuki together?
Q12. What is the total number of bad cars of the companies Suzuki, Swift and Sedan?
Q13. Find the average number of good cars from all six companies together.
Q14. The total number of good cars of companies Mercedes, Swift and Alto together is what percent to that of the bad cars of the same companies?
Q15. Find the difference between good cars of the companies Sujuki,Ferrari ,Alto together and bad cars of the companies Mercedese,Swift and Sedan together produced in factory.