IPM 2021 Mega Final

5, 16, 50, 153, … Find: sum of first Six terms of the given series.

• 1976
• 1981
• 2081
• 2076

Find number in place of A.

• 1849

• 2209

• 1369

• 1681

Two friends Mishti and Manav came to Mumbai for jobs. Mishti pays Rs. 2500 to an agent and hires a flat on rent of Rs. 5000 per month whereas Manav directly gets a flat for rent of Rs. 5500. After how many months will they have paid the same amount?

• 7
• 8
• 6
• None of these

Find the Area of A. VU = XM = 2 cm

• 24 cm2

• 48 cm2

• 36 cm2

• None of these

A number when divided by 4 gives a number which is 3 more than the remainder obtains on dividing the same number by 34. Find the number.

• 16

• 33

• 67

• None of these

Five bells ring after 6, 7, 8, 9 and 12 seconds respectively. How many times they will ring together in one hour?

• 6
• 8
• 7
• 9

Consider the sum 6 + 66 + 666 + 6666 + …. + 6666666666. Where the last addend has 10 digits. Find the digit in thousands place + square of digit in hundred place of the resulting sum.

• 40
• 19
• 53
• 23

Perimeter of triangle is 17, with sides being natural number. How many such triangles are possible?

• 8
• 11
• 9
• 13

Which of the following can be the sim of any 12 consecutive natural numbers?

• 492
• 412
• 328
• 378

Which of the following calculation is incorrect?

• 4 + 9 x 12 - 7 = 6 x 16 + 3 x 3
• 21 x 7 - 7 x 9 = 17 +x 2 + 8 x 6 + 2 x 1
• 1001 ÷ 11 of 13 = 1183
• 1001 ÷ 13 of 11 = 7