Table of Contents
MINI MOCK (Set – 20 to 26)
In a certain code, the symbol for 0 is # and for 1 is @. The numbers greater than 1 are to be represented using these two symbols only. The value of the symbol for 1 doubles itself every time it shifts one place to the left. Study the following examples. ‘0’ is written as # ‘1’ is written as @ ‘2’ is written as @# ‘3’ is written as @@ ‘4’ is written as @## ‘5’ is written as @#@ And so on 1) What is the LCM of (@@@@) and (@#@##) A) @@@#@# B) @@@### C) @@@@## D) #@##@@@ E) None of these 2) What will be (@##@#@) – (@#@@) A) 22 B) 32 C) 26 D) 30 E) 33 3) What will be (@@#@##) + (@@#) – (@@@@) A) 40 B) 32 C) 22 D) 50 E) 43 4) In the question below are given few statements depicting an issue or a problem You have to assume everything in the statements to be true and on the basis of the information given, decide which of the suggested courses of action logically follow(s). Due to a large number of street food vendors outside school S, students are consuming unhealthy junk food and falling sick. Which of the following is the most suitable course(s) of action? 1. Healthy alternatives should be sold in the school canteen, and children should be encouraged to consume those instead. 2. The school authorities should take steps to ensure that street food vendors shift their business elsewhere. a) Only 1 follows b) Only 2 follows c) Either 1 or 2 follows d) d) Neither 1 nor 2 follows e)
Both 1 and 2 follow Mini Mock (Set – 20)
5) In each of the questions below, three statements are given which may or may not have a cause effect relationship with one or more of the other statements. From the given options, choose the one that depicts the correct relationship between the statements. l. The government has implemented a project that aims to reduce stubble burning. ll. The problem of open burning of agricultural stubble has resulted in serious issues contributing towards global warming and environmental pollution III. The straw burning is age-old agricultural practice followed by farmers biannually by setting fire to their fields to clear the land of residue (straw) of one harvest and sow the next. a) I is the cause and II and III are its effects. b) I and III are the causes, and II is its effect. c) Both I and II are independent causes. d) I and III are effects of a common cause and II is neutral. e) II is the cause, I is its effect, and III is neutral There are seven captains (A, B, C, D, E, F and G) of seven different teams among- India, Australia, South Africa, Bangladesh, Sri lanka, Kenya and Pakistan, but not necessarily in the same order. All these teams won different number of matches in the series among- 3, 4, 6, 8, 9, 11 and 13, again not necessarily in the same order. Bangladesh won 5 matches more than that of Kenya, whose captain is F. Pakistan, whose captain is G, won at most 2 matches less than that of Bangladesh. Australia won 7 matches less than that of the team whose captain is C. South Africa won at most 6 matches more than that of Australia. India, whose captain is E, won either lowest or highest number of matches. The team whose captain is D, has won at least 9 matches. A won more number of matches than that of B and neither of them is the captain of South Africa. The sum of the number of matches won by both A and B together is at most 11.
Mini Mock (Set – 20)
In a school there are total 120 staff members and 800 students. 65 per cent of the number of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of students 45 per cent are girls. Twenty per cent of the number of girls can speak only Hindi. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only Hindi. The remaining boys can speak both Hindi and English. Two-thirds of the number of teachers are males. Five-fourteenths of the number of administrative officials are females. 1. What is the difference between the number of boys (student) who can speak both Hindi and English and the number of girls (student) who can speak both Hindi and English? (1) 164 (2) 178 (3) 188 (4) 174 (5) None of these 2. The total number of girls (student) is what percentage of the total number of staff members in the school? (1) 350 (2) 300 (3) 400 (4) 450 (5) None of these 3) Amit takes 12 hours and Biswa takes 8 hours to read a Vinod. Both started reading Vinods at the same time. After how many hours the number of pages remaining to be read by amit will be twice to that to be read by Biswa? Assume Amit and Biswa read all the pages at a constant speed? (1) 5 (2) 6 (3) 4 (4) 7 (5) None of these 4) There are two bags, one red and other black. The red bag contains 9 balls of which 4 are yellow. The black bag contains 17 balls of which 9 are yellow. The probability of selecting a red bag is 4/7 while the probability of selecting a black bag is 3/7. Find the probability that when a ball is selected at random, it is not yellow ? (1) 545/1071 (2) 556/1077 (3) 556/1071 (4) 526/1071 (5) None of these 5) A hotel charges a certain fixed cost for a buffet and a fixed additional cost per head. If 20 guests turn up the cost comes up to Rs 200 per head, while if 10 more guests turns up the per head cost drops to Rs 150 per head; What is the minimum number of guests so that the cost will drop to Rs 125 per head? (1) 41 (2) 40 (3) 42 (4) 45 (5) None of these
Mini Mock (Set – 21)
6) Time taken by A and B together to complete a work is equal to the time taken by C and D together to complete that work. Also time taken by B and C together to complete that work is two times the time taken by A and D together. If B alone can complete the work in 8 days and D alone can complete the work in 4 days. What is the ratio of efficiencies of A, B, C, and D? (1) 2 : 1 : 1 : 2 (2) 1 : 2 : 1 : 2 (3) 2 : 1 : 2 : 1 (4) 1 : 2 : 2 : 1 (5) None of these
Mini Mock (Set – 21)
There are 500 students in a class who appeared in an exam comprising Paper P1 and P2. The ratio of the number of boys to girls is 7 : 3. Out of the total boys, 44% passed in Paper P2 only, which is 82 more than the total number of girls who passed in Paper P2 only. 28% of girls passed in Paper P1 only, which is one-third of the total number of boys who passed in both the papers. No one failed in both the papers. 1) The total number of boys who passed in Paper P1 only is what per cent of the total number of students who appeared in the exam? (1) 12% (2) 14% (3) 16% (4) 18% (5) 20% 2) What percentage of girls passed in both the papers? (1) 16% (2) 20% (3) 24% (4) 28% (5) 32% 3) A bag contains X red balls, (x+2) green balls and 2 yellow balls. The probability of drawing a red ball and a green ball from the bag is 4/11, if there are two types of green balls, i.e dark green and light green in the ratio 2:1 respectively, then find the number of dark green balls in the bag. (a) 5 (b) 2 (c) 4 (d) 6 (e) None Of these 4) There are 63 cards in a box numbered from 01 to 63. Every card is numbered with only 1 number. Quantity 1: Probability of picking up a card whose digits, if interchanged, result in a number which is 36 more than the number picked up. Quantity 2: Probability of picking up a card, the number printed on which is a multiple of 8 but not that of 16. A. Quantity 1 < Quantity 2 B. Quantity 2 < Quantity 1 C. Quantity 1 = Quantity 2 D. Can’t establish a relation E. None of the above
Mini Mock (Set – 22)
5) Quantity I: A and B together can do a piece of work in 4 days. If A alone can do the same work in 6 days, then B alone can do the same work in? Quantity II: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? A) Quantity I > Quantity II B) Quantity I ≥ Quantity II C) Quantity II > Quantity I D) Quantity II ≥ Quantity I E) Quantity I = Quantity II or Relation cannot be established 6) Quantity I: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is: Quantity II: Find the speed of a train which passes a tree in 12 seconds. The length of the train is 264m. A) Quantity I > Quantity II B) Quantity I ≥ Quantity II C) Quantity II > Quantity I D) Quantity II ≥ Quantity I E) Quantity I = Quantity II or Relation cannot be established 7) Meera walked to school at a speed of 3 miles per hour. Once she reached the school, she realized that she forgot to bring her Vinods, so rushed back home at a speed of 6 miles per hour. She then walked back to school at a speed of 4 miles per hour. All the times, she walked in the same route. Quantity I: Her average speed over the entire journey. Quantity II: 4 mph A. Quantity I > Quantity II B. Quantity I < Quantity II C. Quantity I >Quantity II D. Quantity I.
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