IRECTIONS (Qs. 1–5) : In the following number series only one number is wrong. Find out the wrong number.
1. 9050 5675 3478 2147 1418 1077 950
a) 3478 b) 1418
c) 5675 d) 2147
e) 1077
2. 7 12 40 222 1742 17390 208608
a) 7 b) 12
c) 40 d) 1742
e) 208608
3. 6 91 584 2935 11756 35277 70558
a) 91 b) 70558
c) 584 d) 2935
e) 35277
4. 1 4 25 256 3125 46656 823543
a) 3125 b) 823543
c) 46656 d) 25
e) 256
5. 8424 4212 2106 1051 526.5 263.25 131.625
a) 131.625 b) 1051 c) 4212
d) 8424 e) 263.25
6) Amit and Sujit together can complete an assignment of data entry in five days. Sujit’s speed is 80% of Amit’s speed and the total key depressions in the assignment are 5,76,000. What is Amit’s speed in key depressions per hour if they work for 8 hours a day?
a) 4800 b) 6400
c) 8000 d) 7200
e) None of these
7) A shopkeeper labelled the price of his articles so as to earn a profit of 30% on the cost price. He,then sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal?
a) 18% b) 15% c) 20%
d) Cannot be determined
e) None of these
8) The product of one-third of a number and 150% of another number is what per cent of the product of the original numbers?
a) 80% b) 50%
c) 75% d) 120%
e) None of these
9) The age of the father is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is the son’s present age in years?
a) Eight b) Seven c) Five
d) Cannot be determined
e) None of these
10) Six-eleventh of a number is equal to twenty-two percent of second number. Second number is equal to the one-fourth of third number. The value of the third number is 2400. What is the 45% of first number?
a) 109.8 b) 111.7 c) 117.6
d) 123.4 e) None of these
11. An HR Company employes 4800 people, out of which 45 percent are males and 60 percent of the males are either 25 years or older. How many males are employed in that HR Company who are younger than 25 years?
a) 2640 b) 2160 c) 1296
d) 864 e) None of these
12. The average marks in English subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 of the actual marks 48, 59 and 67 respectively, then what would be the correct average?
a) 56.5 b) 59 c) 57.5 d) 58
e) None of these
13. In an Entrance Examination Ritu scored 56 percent marks, Smita scored 92 percent marks and Rina scored 634 marks. The maximum marks of the examination are 875. What are the average marks scored by all the three girls together?
a) 1929 b) 815 c) 690
d) 643 e) None of these
14. The respective ratio between the present age of Manisha and Deepali is 5 : X. Manisha is 9 years younger than Parineeta. Parineeta's age after 9 years will be 33 years. The difference between Deepali's and Manisha's age is same as the present age of Parineeta. What will come in place of X?
a) 23 b) 39 c) 15
d) Cannot be determined
e) None of these
15. In a test, a candidate secured 468 marks out of maximum marks 'A'. If the maximum marks 'A' were converted to 700 marks, he would have secured 336 marks. What were the maximum marks of the test?
a) 775 b) 875
c) 975 d) 1075
e) None of these
16) The product of three consecutive even numbers is 4032. The product of the first and the third number is 252. What is five times the second number?
a) 80 b) 100 c) 60
d) 70 e) 90
17. The sum of the ages of 4 members of a family 5 years ago was 94 years. Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughter-in law?
a) 22 years b) 11 years
c) 25 years d) 19 years
e) 15 years
18. Akash scored 73 marks in subject A. He scored 56% marks in subject B and X marks in subject C. Maximum marks in each subject were 150. The overall percentage marks obtained by Akash in all the three subjects together were 54%. How many marks did he score in subject C ?
a) 84 b) 86 c) 79 d) 73
e) None of these
19. The area of a square is 1444 square meters. The breadth of a rectangle is 1/4th the side of the square and the length of the rectangle is thrice the breadth. What is the difference between the area of the square and the area of the rectangle?
a) 1152.38 sq.mtr.
b) 1169.33 sq.mtr
c) 1181.21 sq.mtr.
d) 1173.25 sq.mtr
e) None of these
20. A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
a) 2:5 b) 2:7
c) 3:7 d) 1:5 e) 3:5
21. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
a) 2 minutes, 20 seconds
b) 2 minutes, 24 seconds
c) 4 minutes, 12 seconds
d) 3 minutes, 36 seconds
e) None of these
22. A 240–metre long train running at the speed of 60 kmph will take how much time to cross another 270–metre long train running in opposite direction at the speed of 48 kmph?
a) 17 seconds b) 3 seconds
c) 12 seconds d) 8 seconds
e) None of these
23) Area of a rectangle is equal to the area of the circle whose radius is 21 cms. If the length and the breadth of the rectangle are in the ratio of 14 : 11 respectively, what is its perimeter
a) 142 cms. b) 140 cms.
c) 132 cms. d) 150 cms.
e) None of these
24) Samir’s age is one–fourth of his father’s age and two–third of his sister Reema’s age. What is the ratio of the ages of Samir, Reema and their father respectively?
a) 3 : 2 : 8 b) 3 : 4 : 8
c) 2 : 3 : 8 d) 4 : 3 : 8
e) None of these
Directions (Qs. 25-29)): From the following, different committees are to be made as per the requirement given in each question. In how many different ways can it be done?
10 men and 8 women out of which 5 men are teachers, 3 men doctors and businessmen. Among the women, 3 are teachers, 2 doctors, 2 researchers and 1 social worker.
25. A Committee of 5 in which 3 men and 2 women are there
a) 3360 b) 8568 c) 4284
d) 1680 e) None of these
26. A Committee of 4 in which at least 2 women are there
a) 1260 b) 1820 c) 3060 d) 1890 e) None of these
27. A Committee is 5 in which 2 men teachers, 2 women teach ers and 1 doctor are there
a) 75 b) 150 c) 214
d) 20 e) None of these
Answers
1.e 2.d 3.c 4.d 5.b
6.c 7.e 8.b 9.c 10.e
11.d 12.e 13.d 14.e 15.c
16.a 17.a 18.b 19.d 20.d
21.b 22.a 23.d 24.c 25.a
26.d 27.b