What is his new rank from the end?

What is his new rank from the end?

Civils Prelims
 Paper - II
 
 Model Questions
 
 1.    Read the following statements and answer the four items that follow:
     Five cities P, Q, R, S and T are connected by different modes of transport as follows. P and Q are connected by boat as well as rail. S and R are connected by bus and boat. Q and T are connected by air only. P and T are connected by boat only. T and R are connected by rail and bus.
     i) Which mode of transport would help one to reach R starting from Q, but without changing the mode of transport?
     a) Boat        b) Rail
     c) Bus        d) Air
     ii) If a Person visits each of the places starting from 'P' and gets back to 'P'. Which of the follo-wing places must he visit twice?
     a) Q     b) R    c) S    d) T
     iii) Which of the following pairs of cities is connected by any of the routes directly without going to any other city?
     a) P and T     b) T and S
     c) Q and R    d) None of these
     iv) Between which two cities among the pairs of cities given below are there maximum travel options available?
     a) Q and S     b) P and R
     c) P and T    d) Q and R
 Sol:
     i) One can travel from Q to P by boat and from P to R also by boat.
 Answer: a
     ii) 'S' is connected only to 'R' and no other city. Therefore in order to visit all cities one must visit 'R' twice. Because he has to reach 'S' via 'R' and again gets back to 'R'
 Answer: b
     iii) Among the given options, no two cities are directly connected.
 Answer: d
     iv) Between Q and S, there are 8 different options available to travel. And no other pair has so many options.
 Answer: a
 
 2.    In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?
     a) 25     b) 26    c) 27    d) 28
 Sol: It is given that, among 47 stude-nts the boy ranks 21st from top.
     \ his rank from the end
     = 47 – 21 + 1 = 27
 Answer: c
 
 3.    A thief running at 8 km/hr is ch-ased by a policeman whose speed is 10 km/hr. If the thief is 100mt ahead of the policeman, then the time required for the policeman to catch the thief will be?
     a) 2 min     b) 3 min
     c) 4 min    d) 6 min
 Sol: Relative velocity between thief and policeman = 10 – 8 = 2 km/hr. Therefore police would get an advantage of 2 km or 2000 mt in 1 hour or 60 min.
     \ To get an advantage of 100 mt,
 
     the time required
 Answer: b
 
 4.    A train travels at a certain aver-age speed for a distance of 63 km and then travels a distance or 72 km at an average speed of 6 km/ hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?
     a) 24      b) 33    c) 42    d) 66
 Sol: From the given data, the average speed during the whole
     journey =    Total distance /
         Total time
 
 This average speed shall lie in between the original average speed and the increased (by 6 km/hr) average speed. The only possibility among the given 4 options is 42 km/hr. Because 45 lies in between 42 and
     42 + 6 = 48.
 Answer: c
 
 5.    Consider the following matrix
 
 What is the number at 'X' in the above matrix
     a) 5     b) 8    c) 9    d) 11
 Sol: From the numbers in the given matrix
     33 + 73 = 27 + 343 = 370
     23 + 63 = 8 + 216 = 224
     Similarly 13 + x3 = 730
     Þ x3 = 729
     Þ x = 9
 Answer: c
 
 6.    Examine the following three figures in which the numbers follow a specific pattern.
 
 
     
     
     The missing number in the third figure above is
     a) 7     b) 16    c) 21    d) 28
 
 Sol: First figure:
 
     Second figure:     
 
     Third figure:
 Answer: b
 
 7.    A cube has six numbers marked 1, 2, 3, 4, 5 and 6 on its faces. Three views of the cube are shown below.
 
 What possible numbers can exist on the two faces marked A and B, respectively on the cube?
 
 a) 2 and 3    b) 6 and 1
     c) 1 and 4    d) 3 and 1
 Sol: This problem can be solved by using a simple technique. From the first and second views of the cube it is clear that 6, 4, 2 and 3 are adjacent to 1. Therefore the two numbers 1 and 5 are on the opposite faces of the cube. Therefore 1 cannot be on the adjacent face of 5. So we can rule out the three options (b), (c) and (d).
 Answer: a
 
 8.    A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and the number of columns remain the same. What is the minimum number of plants that he needs more for this purpose?
     a) 14        b) 24
     c) 32        d) 34
 Sol: By observation,
     30 ´ 30 = 900
     31 ´ 31 = 961
     32 ´ 32 = 1024
     \He needs a minimum of 24 plants
 Answer: b
 
 9.    A person can walk a certain dis-tance and drive back in 6 hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?
     a) 2 Hours    b) 2.5 Hours
     c) 5.5 Hours    d) 4 Hours
 Sol: It is given that
     walk + drive = 6 hours
     walk + walk = 10 hours
     Þ twice walk + twice drive
      = 12 hours
     – twice walk = 10 hours
     Þ twice drive = 2 hours
 Answer: a
 
 10.    The tank full petrol in Arun's motorcycle lasts for 10 days. If he starts using 25% more every day, how many days will the tank full petrol last?
     a) 5        b) 6
     c) 7        d) 8
 Sol: If consumption is increased by 25%, in 4 days, the petrol suffici-ent for 5 days will be consumed. Therefore in 8 days, the petrol sufficient for 10 days will be consumed.
 Answer: d
 
 11.    In a garrison, there was food for 1000 soldiers for one month. Aft-er 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to car-ry on with the remaining food?
     a) 25 days    b) 20 days
     c) 15 days    d) 10 days
 Sol: Let one packed of food is suf-ficient for a soldier per one day.
     Then the no. of food packets
     = 1000 ´ 30 = 30,000
     In 10 days, no.of food packets consumed = 10,000.
     The remaining food packets = 20,000
     For 2000 soldiers, these last for
 
     
 Answer: d