CBSE PSA 11th Class Quantitative Reasoning Practice Test Paper 2015 |
(a) 10
(b) 12
(c) 14
(d) 16
2. A is three times as old as B. C was twice as old as A four years ago. In four years’ time, A will be 31. What is the present age of B and C?
(a) 9,46
(b) 9,50
(c) 10,46
(d) 10,50
3. In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?
(a) 6
(b) 12
(c) 18
(d) 24
4. Standing on a rock, Ravi said that Madurai was more than 3 km but less than 8 km from there. Prabhu said that it was more than 6 km but less than 10 km from there. If both of them are correct, how far is Madurai from the rock ?
(a) 8km
(b) 6km
(c) 7km
(d) Cannot be determined
5. Keshav knows that Sudha’s marks are more than 3 but less than 8 in a unit test. Sonia knows that these are more than 6 but less than 10. If both of them are correct, which of the following statements about Sudha’s marks is definitely true?
(a) It has only one value
(b) It has any of three values
(c) It has either of two values
(d) It has any of four values
5. In a line of boys, Ganesh is 12th from the left and Rajan is 15th from the right. They interchange their positions. Now, Rajan is 20th from the right. What is the total no. of boys in the class?
(a) 30
(b) 29
(c) 32
(d) 31
6. If you count 21 letters in the English alphabet from the end and 20 letters from the beginning, which letter will exactly appear in the middle of the sequence thus formed?
(a) N
(b) L
(c) K
(d) M
7. In a class of 100 students, 55 students have passed in Mathematics, 67 students have passed in Physics and 22 students passed in both Physics and Mathematics. Then the number of students who have passed in Physics only is:
(a) 22
(b) 33
(c) 10
(d) 45
8. A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, two boggies were detached. The train now crosses a telegraph post in
(a) 18 sec
(b) 12 sec
(c) 15 sec
(d) 20 sec
9. A train M leaves Meerut at 5 am and reaches Delhi at 9 am Another train N leaves Delhi at 7 a.m. and reaches Meerut at 10: 30 am. At what time do the two trains cross each other?
(a) 7: 36am
(b) 7: 56am
(c) 8 am
(d) 8:26 am
DIRECTIONS (Qs. 29-32): Read the information given below and answer the questions that follow:
The tournament for ABC Cup is arranged as per the following rules: in the beginning 16 teams are entered and divided in 2 groups of 8 teams each where the team in any group plays exactly once with all the teams in the same group. At the end of this round top four teams from each group advance to the next round in which two teams play each other and the losing team goes out of the tournament. The rules of the tournament are such that every match can result only in a win or a loss and not in a tie. The winner in the first round takes one point from the win and the loser gets zero. In case of tie on a position the rules are very complex and include a series of deciding measures.
10. What is the total number of matches played in the tournament?
(a) 63
(b) 56
(c) 64
(d) 55
11. The maximum number of matches that a team going out of the tournament in the first round itself can win is
(a) 1
(b) 2
(c) 3
(d) 4
12. The minimum number of matches that a team must win in order to qualify for the second round is
(a) 4
(b) 5
(c) 6
(d) 7
13. Which of the following statements about a team which has already qualified for the second round is true?
(a) To win the cup it has to win exactly 14 matches
(b) To win the cup it has to win exactly 3 matches
(c) To win the cup it has to win exactly 4 matches
(d) To win the cup it has to win exactly 5 matches
DIRECTIONS (Qs. 33 to 36): Study the following graphs carefully & answer the questions given below.
14. What fraction of the total expenditure is spent on education? in family A?
(a) 13/21
(b) 2/3
(c) 9/13
(d) 1/5
15. If the total expenditure on family B is 10000, then money spent on clothes by this family during the year is
(a) Rs. 200
(b) Rs. 600
(c) Rs. 2000
(d) Rs. 6000
16. If the total annual expenditure of family A is Rs. 30000, the money spent on food, clothes and house rent is
(a) Rs. 18500
(b) Rs. 18000
(c) Rs. 21000
(d) Rs. 15000
17. If both the families have the same expenditure, which one spends more on education and miscellaneous together?
(a) A
(b) B
(c) Both spends equal amount
(d) Data inadequate
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