NTSE Mathematics Arithmetic Progression and Geometric Progression MCQs

Question: The sum of all odd numbers of two digits is :

• a) 2530
• b) 2475
• c) 4905
• d) None of these

Answer: 2475

Question: If 

are the p^th, q^th, r^th terms respectively of an A.P. then ab (p - q) + bc(q - r) + ca(r - p) equals to           

• a) 1
• b) -1
• c) 0
• d) None of these

Answer: 0

Question: If m arithmetic means are inserted between 1 and 31 so that the ratio of the 7^th and (m - 1)^th means is 5 : 9, then the value of m is

• a) 9
• b) 11
• c) 13
• d) 14

Answer: 14

Question: The n^th term of an GP is 128 and the sum of its n terms is 255. It its common ratio is 2 then its first term is : 

• a) 1
• b) 3
• c) 8
• d) None of these

Answer: 1

Question: The interior angles of polygon are in arithmetic progression. The smallest angle is 1200 and the common difference is 50.Then the number of sides of the polygon is

• a) 9 or 16
• b) 9
• c) 16
• d) 13

Answer: 9

Question: If the p^th, q^th and r^th terms of an AP and equal to corresponding terms of a GP and these are respectively x, y, z then x^y-zy^z-xz^x-y equals 

• a) 0
• b) 1
• c) 2
• d) None of these

Answer: 1

Question: If log 2, log (2^x  - 1) and log (2^x + 3) are in AP then the value of x is     

• a) 5/2
• b) log25            
• c) log35                 
• d) log52

Answer: log25            

Question: Sum of first 24 terms of the AP a1, a2, a3...1 if it is known that a1 + a5 + a₁₀ + a₁₅ + a₂₀ + a₂₄ = 225 is 

• a) 450
• b) 900
• c) 1350
• d) None of these

Answer: 900

Question: Value of x when 1 + 6 + 11 + 16 +.......+ x = 148 is

• a) 8
• b) 16
• c) 36
• d) None of these

Answer: 36

Question: A square is drawn by joining the mid points of the sides of a square. A third square is drawn inside the second square in the same way and the process is continued indefinitely. If the side of the square is 10 cm, then the sum of areas of all the squares so formed is

• a) 100
• b) 200
• c) 250
• d) None of these

Answer: 200