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Numbers, HCF and LCM Practice Questions

Numbers, hcf and lcm Practice Questions

 

  1. If the cost of 2 pens and 5 books is Rs, 100, what will be the cost of 8 pens and 20 books of the same type?

(a) Rs. 200        (b) Rs.  300       (c) Rs. 400

(d) Can't be determined             (e) None of these

 

  1. There are five numbers. HCF of each possible pair is 4 and LCM of all the five numbers is 27720. What is the product of all the five numbers?

(a) 27720 × 44                               (b)

(c) 27720 × 45                               (d) 27720 × 42

(e)

 

  1. If 153 is added to the square of a number, the answer so obtained is 3600. What is the square root of the number?

(a) 15                  (b) 225               (c) –15                (d) ±30

(e) ±15

 

  1. Out of the fractions  and , find the product of the largest and the smallest number.

(a)                 (b)                   (c)                  (d)

(e)

 

  1. Rubina could get equal number of Rs. 55, Rs. 85 and Rs. 105 tickets for a movie. She spents Rs. 2940 for all the tickets. How many of each did she buy?

(a) 12                  (b) 14                  (c) 16

(d) Cannot be determined          (e) None of these

 

  1. Seema bought 20 pens, 8 packets of wax colours, 6 calculators and 7 pencil boxes. The price of one pen is Rs. 7, one packet of wax colour is Rs. 22, one calculator is Rs. 175 and one pencil box is Rs. 14 more than the combined price of one pen and one packet of wax colours. How much amount did Seema pay to the shopkeeper?

(a) Rs. 1491       (b) Rs. 1725       (c) Rs. 1667       (d) Rs. 1527

(e) None of these

 

  1. The cost of five chairs and three tables is Rs. 3110. Cost of one chair is Rs. 210 less than cost of one table. What is the cost of two tables and two chairs ?

(a) Rs 1660       (b) Rs 1860       (c) Rs 2600

(d) Cannot be determined          (e) None of these

 

  1. Sum of square of first number and cube of second number is 568 together. Also, square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? (Assuming that both the numbers are positive.)

(a) 18                 (b) 8                    (c) 9                   (d) 16

(e) None of these

 

  1. The difference between the sum of four consecutive odd numbers and three consecutive even numbers together is 20. Also, the largest even number in 5 more than the largest odd number. What is the sum of the smallest odd number and the smallest even number?

(a) 75                  (b) 77                  (c) 85

(d) Cannot be determined          (e) None of these

 

  1. Which of the following fractions are in descending order?

(a)                          (b)

(c)                           (d)

(e) None of these

 

  1. Rohit has some 50 paise coins, some Rs 2 coins, some Rs 1 coins and some Rs 5 coins. The value of all the coins is Rs 50. Number of Rs 2 coins is 5 more than the Rs 5 coins. 50 paise coins are double in number than Rs 1 coin. Value of 50 paise coins and Rs 1 coins is Rs 26. How many Rs 2 coins does he have?

(a) 4                    (b) 2                    (c) 7

(d) Can't be determined             (e) None of these

 

  1. What is the least number that can be added to the number 1020 to make it a perfect square ?

(a) 65                  (b) 12                  (c) 59                  (d) 4

(e) None of these

 

  1. Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22 and 30 s respectively. In how much time, will they meet again at the starting point ?

(a) 3 min 15 s    (b) 21 min          (c) 16 min 30 s

(d) 12 min          (e) None of these

 

Answers:

  1. c
  2. a
  3. e
  4. b
  5. a
  6. c
  7. a
  8. c
  9. b
  10. a
  11. c
  12. d
  13. c