Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 46 - CT&AI_CLasa_7_Part_1
P. 46

    Finding common

                                     3                                                Ground

                                               computational thinking quest

                    Tick ( ) the correct option.

                      1.  Given  HCF(x,  y) =  10, what  is  the  minimum     5.  Two robots  start  at  the same  point  on a
                         possible  value for LCM(x,  y), if  x and  y are    circular track. Robot A completes a lap in 48
                         distinct multiples of 10?   (Logical Thinking)      seconds, and Robot B completes a lapin 60
                                                                             seconds. What is the time (in seconds) after
                               (a)  10              (b)  20
                                                                             which their cycles synchronize?

                               (c)  30              (c)  60                                         (Algorithmic Thinking)
                      2.  A student writes a code to find the HCF of any            (a)  120 sec
                         two  numbers.  The code  always  returns  the
                         smaller of the two numbers.  For  which pair               (b)  240 sec
                         will this code produce an incorrect result?

                                                 (Analytical Thinking)              (c)  360 sec

                               (a)  (12, 18)        (b)  (10, 20)                   (d)  480 sec
                                                                          6.  A car is racing a bike. The bike has a head
                               (c)  (5, 25)         (d)  (100, 500)
                                                                             start  of 100  meters.  For every  8 meters  the
                      3.  In  some basic  cryptography, the HCF of a         bike travels, the car covers 10 meters. In how
                         "Key" and a "Message" must be 1 to ensure           many meters does the car catch up with the
                         security.  If  the Message  is 120, which Key       bike?                   (Analytical Thinking)
                         would be "secure"?         (Logical Thinking)
                                                                                    (a)  400            (b)  500
                               (a)  45              (b)  48
                                                                                    (c)  600            (d)  700
                               (c)  49              (d)  50
                                                                          7.  A security key is generated by taking the LCM
                      4.  If the HCF of L and W is H, how many square        of two distinct prime numbers p and q. If an
                         tiles of side H are needed to cover an area of      attacker  knows the  LCM is 1147,  how many
                         rectangle of dimension L × W?                       unique pairs of (p, q) could have generated
                                                 (Analytical Thinking)       this key (excluding order)?

                                   L × W               L × W                                         (Analytical Thinking)
                               (a)                  (b)
                                     H                  H × H                       (a)  1              (b)  2

                               (c)   L + W          (d)   LCM (L, W)
                                     H                      H                       (c)  3              (d)  4

                     44        Computational Thinking-7 (Mathematics)

| 41 42 43 44 45 46 47 48 49 50 51 |