Integra Placement Paper - : ANALYTICAL THINKING Question

Integra Previous Years Solved Sample Placement Papers

1. The cost price of a TV is ₹ 7,272. The seller wants to sell it at 30% profit, and at the same time, he wants to offer consecutive discounts of 20% and 10%. What should be the marked price of the TV so that he is able to earn 30% profit even after offering the discounts?
   

   (a) ₹ 11,110

   (b) ₹ 10,000

   (c) ₹ 13,130

   (d) ₹ 12,120 (Ans)

2. John bought an item for ₹ 200 and sold it to Mahesh for a profit of 20%. Mahesh further sold it to Ramesh for a profit of 10%. If Ramesh further sold this item to Virat for ₹ 280, then what was the profit percentage of Ramesh approximately?
   

   (a) 8%

   (b) 6%

   (c) 4%

   (d) 5% (Ans)

3. All the vertices of a right-angled triangle lie on the circumference of a circle. The lengths of the two perpendicular sides of the triangle are 14 cm and 48 cm. What is the area of the circle?
   

   (a) 2304 π cm²

   (b) 576 π cm²

   (c) 625 π cm²

   (d) 2500 π cm² (Ans)

4. A sum of money was divided into 2 parts in the ratio 2:5. The first part was invested for 2 years at an annual interest rate of 20% compounded annually. At what rate of simple interest per annum must the second part be invested for 2 years, so that the interest earned in both cases is the same?
   

   (a) 8.8%

   (b) Cannot be determined

   (c) 10.2%

   (d) 9.6% (Ans)

5. A train running at the speed of 72 km/hr can cross a stationary pole in 10 seconds. How much time will it take to overtake a train of length 500 metres running at 54 km/hr in the same direction?
   

   (a) 130 seconds

   (b) 110 seconds

   (c) 120 seconds

   (d) 140 seconds (Ans)

6. A group of 11 natural numbers is arranged in ascending order. The average of the first six numbers is 18, and the average of the last six numbers is 28. If the 7th number is the smallest prime number greater than 20, then what is the sum of all these numbers?
   

   (a) 253

   (b) 276

   (c) 299

   (d) 241 (Ans)

7. If '+' means '÷', '-' means '+', '÷' means '×', and '×' means '-', then what will be the value of 13 ÷ 15 - 1670 + 5 × 21?
   

   (a) 438

   (b) 508

   (c) 732

   (d) 672 (Ans)

8. A cuboid of dimension 12 cm × 16 cm × 20 cm is cut into small cubes of edge length 4 cm. What is the difference between the total surface area of the original cuboid and the sum of the surface area of all the small cubes?
   

   (a) 5008 cm²

   (b) 4256 cm²

   (c) 1408 cm²

   (d) 0 cm² (Ans)

9. How many prime numbers are there that are less than 30 and can be represented both as a sum and a difference of two primes?
   

   (a) 4

   (b) 1

   (c) 10

   (d) 0 (Ans)

10. 40% of 70% of P is the same as 35% of R% of Q. Also, P% of P% of 400 is 16. What is the product of P, Q, and R?
    

    (a) 32000

    (b) 1600

    (c) 16000

    (d) 320 (Ans)