HCL Placement Paper - Logical and Aptitude Questions

HCL Quantitave Aptitude Questions

1. Jothi's father was 38 years old when she was born, and her mother was 36 years old when her brother, four years younger than her, was born. What is the age difference between her parents?
   (A) 2 years
   (B) 4 years
   (C) 6 years
   (D) 8 years
   Ans: C
   


2. The sum of two numbers is 184. If one-third of one exceeds one-seventh of the other by 8, find the smaller number.
   (A) 72
   (B) 74
   (C) 76
   (D) 78
   Ans: A
   


3. Of two numbers, 4 times the smaller one is less than 3 times the larger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the numbers.
   Ans: 59 & 43
   


4. A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number.
   (A) 72
   (B) 84
   (C) 76
   (D) 81
   Ans: D
   


5. If three numbers are added in pairs, the sums are 10, 19, and 21. Find the numbers.
   Ans: 6, 4, & 15
   


6. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is the definite difference between R and Q's age?
   (A) 1 year
   (B) 2 years
   (C) 25 years
   (D) Data inadequate
   (E) None of these
   Ans: D
   


7. The age of a father 10 years ago was thrice the age of his son. Ten years hence, the father's age will be twice that of his son. What is the ratio of their present ages?
   (A) 5:2
   (B) 7:3
   (C) 9:2
   (D) 13:4
   Ans: B
   


8. The length of a rectangle is twice its breadth. If the length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle increases by 75 sq. cm. Find the original length of the rectangle.
   (A) 20 cm
   (B) 24 cm
   (C) 25 cm
   (D) 26 cm
   Ans: A
   


9. A motorboat, whose speed is 15 km/hr in still water, goes 30 km downstream and comes back in a total of 4 hours 30 minutes. What is the speed of the stream (in km/hr)?
   (A) 4
   (B) 5
   (C) 6
   (D) 10
   Ans: B
   


10. Two pipes can fill a tank in 10 hours and 12 hours, respectively, while a third pipe empties the tank in 20 hours. If all three pipes are operated simultaneously, in how much time will the tank be filled?
    (A) 6 hrs 20 min
    (B) 7 hrs 15 min
    (C) 5 hrs 30 min
    (D) 7 hrs 30 min
    Ans: D
    


11. 39 persons can repair a road in 12 days working 5 hours daily. In how many days will 30 persons, working 6 hours daily, complete the same work?
    (A) 10
    (B) 13
    (C) 14
    (D) 15
    Ans: B
    


12. Arrange the fractions 5/8, 7/12, 13/16, 16/29, and 3/4 in ascending order.
    Ans: 16/29, 7/12, 5/8, 3/4, 13/16
    


13. If (1 / 3.718) = 0.2689, find the value of (1 / 0.0003718).
    Ans: 2689
    


14. Today is Monday. After 61 days, it will be:
    (A) Wednesday
    (B) Saturday
    (C) Tuesday
    (D) Thursday
    Ans: B
    


15. Stewart started a business investing Rs. 45,000. After 3 months, Jackson joined him with Rs. 60,000. After 6 more months, Rooney joined with Rs. 90,000. At year's end, they made a profit of Rs. 16,500. Find their respective shares.
    Ans: Rs. 6600, Rs. 6600, Rs. 3300
    


16. Four milkmen rented a pasture. A grazed 24 cows for 3 months; B grazed 10 cows for 5 months; C grazed 35 cows for 4 months; D grazed 21 cows for 3 months. If A's rent share is Rs. 720, find the total rent of the field.
    (A) Rs. 3200
    (B) Rs. 3250
    (C) Rs. 3210
    (D) Rs. 3300
    Ans: B
    


17. The difference between a two-digit number and the number obtained by interchanging its digits is 36. What is the difference between the two digits?
    (A) 3
    (B) 4
    (C) 9
    (D) 6
    (E) None of these
    Ans: B