CTS - Reasoning - 2

CTS – Reasoning - 2

1.       What is the min. no. of weighing operations required to measure 31 kg of rice if only one stone of 1 kg is available?
a) 31      b) 6        c) 5         d) 16

Ans: (c)

The weighing can be one in the following manner:

Rice   Counter weight
1kg    (1kg stone)
2kg    (1kg rice + 1kg stone)
4kg    (1+2+1)
8kg    (1+2+4+1)
16kg  (1+2+4+8+1)
 total: 31kg rice

2.       The ratio of the no. of white balls in a bag to that of black balls is 1:2. If 9 grey balls are added the ratio of nos. of white, black and grey become 2:4:3. How many black balls were in the bag?
a) 6         b) 9        c) 12       d) 8

Ans: (c)

After adding 9 grey balls the ratio of white, black and grey balls become 2 : 4 : 3

Thus the 9 grey balls equal 3 parts in the ratio. Hence the number of black balls is 12

3.       There are 2 toy cars facing each other at a distance of 500 cm from each other. Each car moves forward by 100 cm at a speed of 50 cm/s and then moves backward by 50 cm at a speed of 25 cm/s. How long will it take for the cars to collide?
a) 12s                    b) 14s                    c) 16s                     d) 13s

Ans: (b)

It’s an interesting question. Lt us observe the movement of the two toy cars.

In the first two seconds they move 100 cm forward and in the next two seconds they retard 50 cm. Thus during the operation of 4 sec both the cars move forward a distance of 50cm each. After 4 sec the distance between them is 400 cm. After 8 sec the distance is 300 cm. After 12 sec the distance between them will be 200 cm. Now comes  the interesting stage. During the next 2 sec each car will move 100 cm forward and cover the distance of 200 cm and will collide with each other. Hence the answer is 14 seconds.

4.       It takes 8, 12 and 16 days for A,B and C resp. to complete a task. How many days will it take if A works on the job for 2 days then B works on it until 25% of the job is left for C to do, and C completes the work?
a) 10 days            b) 14 days           c) 13 days            d) 12 days

Ans: (d)

A in two days would complete 2/8 -> ¼ job. Leaving another ¼ job to C, B will complete

½ job in ½ / 1/12 -> 6 days. C will complete the remaining ¼ job in ¼ / 1/16 -> 4 days.

Thus the number of days taken to complete the job is 2 + 6 + 4 -> 12 days.

In the following questions what should come in the place of ?.

5.       BC  CE  EG  GK  ?
a)KN                      b)KU                      c)KM                     d)None

Ans: (c)

6.       AA  AB  BC  CE ?
a)EG                      b)EH                      c)EI                         d)None

Ans: (d)

7.       AB EF JK QR ?
a)YZ                       b)ZA                      c)AB                       d)None

Ans: (a)

8.       ACD       EGL        IKT          MOB      ?
a)QST                    b)QSZ                    c)QSY                    d)None

Ans: (d)

9.       AC          CG          GO        OE          ?
a)EJ                        b)EI                        c)EL                        d)None

Ans: (b)

10.   What two numbers have a product of 48 and, when the larger number is divided by the smaller, a quotient of 3?
Ans:  4 and 12