Integra Placement Paper - :Quantitative Maths Question

Integra Previous Years Solved Sample Placement Papers

1. Simplify the following: 515 × 515 × 515 - 221 × 221 × 221 / (515 × 515 + 515 × 221 × 221 + 221)
   (a) 280
   (b) 290
   (c) 295
   (d) 294 (Ans)
   
2. Find the value of 40000 - 40000 ÷ 100
   (a) 0
   (b) Infinity
   (c) 39600 (Ans)
   (d) 100
   
3. Simplify the following: (578291 × 578291 - 457428 × 457428) / 120863
   Ans: 1035719
   
4. If the value of a - b = 6 and a² + b² = 40, find the value of ab.
   Ans: 2
   
5. Find the value of ((598 + 194)² - (598 - 194)²) / (598 × 194)
   Ans: 4
   
6. Find the next term in the series: 2, 5, 10, 17, 26, ...
   Ans: 37
   
7. Find the next term in the series: 5, 13, 37, 109, ...
   Ans: 235
   
8. Solve the problem:
   Sachin’s average in his first 50 innings was 50. After the 51st innings, his average was 51. How many runs did he score in his 51st innings?
   (a) 100
   (b) 51
   (c) 101 (Ans)
   (d) 50
   
9. What is the sum of the first 20 natural odd numbers?
   (a) 200
   (b) 400 (Ans)
   (c) 800
   (d) None of these
   
10. The sum of any seven consecutive numbers is divisible by:
    (a) 2
    (b) 7 (Ans)
    (c) 3
    (d) 11
    
11. A rectangular plate with length 8 inches, breadth 11 inches, and thickness 2 inches is available. What is the length of the circular rod with a diameter of 10 inches and equal to the volume of the rectangular plate?
    Ans: 2.24 inches
    
12. If the time now is 9 PM, what will the time be 23999999992 hours later?
    (a) 1 PM (Ans)
    (b) 2 PM
    (c) 2:30 PM
    (d) 3 PM
    
13. Find the next term in the series: 1, 8, 9, 64, 25, ...
    (a) 215
    (b) 216
    (c) 219 (Ans)
    (d) 220
    
14. Find the next term in the series: 100, 80, 55, 35, 0, ...
    (a) -35
    (b) -40 (Ans)
    (c) 40
    (d) 35
    
15. The Government has decided to levy a 2% surcharge on tax for funding drought relief programs.
    I The Government does not have sufficient funds for drought relief.
    II The amount collected by the surcharge may adequately fund these programs.
    (A) Only assumption I is implicit
    (B) Only assumption II is implicit
    (C) Either I or II is implicit
    (D) Neither I nor II is implicit
    (E) Both I and II are implicit
    Ans: E
    


16. Find the statement that must be true:
    Vincent delivers 37 newspapers every morning in 50 minutes. If he's unavailable, Thomas from the same street helps out.
    (A) Vincent and Thomas live in the same neighborhood.
    (B) It takes Thomas longer than 50 minutes.
    (C) It is dark when Vincent starts.
    (D) Thomas wants his own paper route.
    Ans: A
    


17. In this company, 60% of employees are males, 40% are females, 80% are sincere, and 40% are from Rawalpura.
    (A) All male employees are from outstation.
    (B) All male employees are sincere.
    (C) 20% of female employees are not sincere.
    (D) All female employees are from Rawalpura.
    (E) None of these
    Ans: E