Dear Readers, we are providing quant quiz for IBPS and RBI grade B officer exam as per latest exam pattern
In a medical college there are 1600 students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. 45% of the students study Dentistry and remaining students study Homeopathy. Out of the students studying Dentistry, boys and girls are in the ratio of 5:3 respectively.Out of the boys studying Dentistry, 16% know English, 10% know only Hindi and 4% know only Bangla. 24% know English as well as Hindi. 20% know English as well as Bangla. 14% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Dentistry, 20% know only English, 10% know only Hindi and 10% know only Bangla . 20% know English as well as Hindi. 20% know English as well as Bangla. 10% know Hindi as well as Bangla . Remaining girls know-all three languages. Out of the students studying Homeopathy boys and girls are in the ratio of 4 : 7 respectively. Out of the boys studying Homeopathy, 20% know only English, 15% know only Hindi and 5% know only Bangla. 15% know English as well as Hindi. 25% know English as well as Bangla. 10% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Homeopathy, 15% know only English, 15% know only Hindi and 5% know only Bangla. 20% know English as well as Hindi. 20% know English as well as Bangla. 15% know Hindi as well as Bangla. Remaining girls know all three languages.
1.How many students studying Dentistry know only either English or Hindi?
(1) 166
(2) 162
(3) 308
(4) 198
(5) 248
2.Total how many students in the college know all three languages?
(1)108
(2)132
(3)169
(4)137
(5)142
3.What percent of the total number of girls in the college know Bangla?
(1) 45
(2) 40
(3) 48
(4) 42
(5) 50
4.How many students studying Homeopathy, do not know English?
(1) 292
(2) 232
(3) 228
(4) 298
(5) 207
5.Out of the students studying Homeopathy, what is the ratio between number of boys knowing English and the number of girls knowing Hindi respectively?
(1) 3 : 5
(2) 2 : 3
(3) 9 : 11
(4) 9 : 13
(5) 1 : 3
6.Out of the total number of students studying Dentistry, what percent knows at least two languages?
(1) 6112/13
(2) 5713/16
(3) 5913/17
(4) 661/4
(5) 6212/19
7.What percent of the total number of girls in the college do not know Hindi? (rounded off to nearest integer)
(1) 38
(2) 46
(3) 48
(4) 36
(5) 43
Directions—(8-12) Study the information carefully to answer the questions that follow—
A school consisting of a total of 3120 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz. Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in only Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in only Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in only Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in only Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.
8.Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school ?
(1) 22
(2) 38
(3) 64
(4) 28
(5) 26
9. What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same ?
(1) 77 : 26
(2) 21 : 73
(3) 26 : 77
(4) 73 : 21
(5) None of these
10. Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (Rounded off to two digits after decimal)
(1) 38•67
(2) 35•71
(3) 41•83
(4) 28•62
(5) None of these
11. What is the total number of boys who are enrolled in Dancing ?
(1) 636
(2) 728
(3) 584
(4) 868
(5) None of these
12. What is the total number of students enrolled in all the three classes together ?
(1) 150
(2) 125
(3) 140
(4) 160
(5) None of these
Answers :-
Ans.(1-7)
1.(4)
Required number of students = 72 + 45+ 54 + 27 = 198
2.(3)
Required number of students = 54 + 27 + 32 + 56= 169
3.(5)
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%
4.(1)
Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292
5.(2)
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3
6. (4)
Required ratio = (108+90+63+54+54+54+27+27)/720x 100% = 661/4 %
7.(5)
43%
Ans.(8-12)
8. (5)
Required percentage = (364 + 312 + 130)/3120 * 100 = 26
9. (3)
Required ratio = 260 : 770 = 26 : 77
10. (2)
Required percentage = 130/364 * 100 = 35.71
11. (4)
Total number of boys who are enrolled in Dancing = 364 + 156 + 140 + 208 = 868
12. (5)
Total number of students enrolled in all the three classes together = 130 + 140 = 270
Ans.(1-7)
1.(4)
Required number of students = 72 + 45+ 54 + 27 = 198
2.(3)
Required number of students = 54 + 27 + 32 + 56= 169
3.(5)
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%
4.(1)
Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292
5.(2)
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3
6. (4)
Required ratio = (108+90+63+54+54+54+27+27)/720x 100% = 661/4 %
7.(5)
43%
Ans.(8-12)
8. (5)
Required percentage = (364 + 312 + 130)/3120 * 100 = 26
9. (3)
Required ratio = 260 : 770 = 26 : 77
10. (2)
Required percentage = 130/364 * 100 = 35.71
11. (4)
Total number of boys who are enrolled in Dancing = 364 + 156 + 140 + 208 = 868
12. (5)
Total number of students enrolled in all the three classes together = 130 + 140 = 270
Dear Readers, we are providing quant quiz for IBPS and RBI grade B officer exam as per latest exam pattern
In a medical college there are 1600 students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. 45% of the students study Dentistry and remaining students study Homeopathy. Out of the students studying Dentistry, boys and girls are in the ratio of 5:3 respectively.Out of the boys studying Dentistry, 16% know English, 10% know only Hindi and 4% know only Bangla. 24% know English as well as Hindi. 20% know English as well as Bangla. 14% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Dentistry, 20% know only English, 10% know only Hindi and 10% know only Bangla . 20% know English as well as Hindi. 20% know English as well as Bangla. 10% know Hindi as well as Bangla . Remaining girls know-all three languages. Out of the students studying Homeopathy boys and girls are in the ratio of 4 : 7 respectively. Out of the boys studying Homeopathy, 20% know only English, 15% know only Hindi and 5% know only Bangla. 15% know English as well as Hindi. 25% know English as well as Bangla. 10% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Homeopathy, 15% know only English, 15% know only Hindi and 5% know only Bangla. 20% know English as well as Hindi. 20% know English as well as Bangla. 15% know Hindi as well as Bangla. Remaining girls know all three languages.
1.How many students studying Dentistry know only either English or Hindi?
(1) 166
(2) 162
(3) 308
(4) 198
(5) 248
2.Total how many students in the college know all three languages?
(1)108
(2)132
(3)169
(4)137
(5)142
3.What percent of the total number of girls in the college know Bangla?
(1) 45
(2) 40
(3) 48
(4) 42
(5) 50
4.How many students studying Homeopathy, do not know English?
(1) 292
(2) 232
(3) 228
(4) 298
(5) 207
5.Out of the students studying Homeopathy, what is the ratio between number of boys knowing English and the number of girls knowing Hindi respectively?
(1) 3 : 5
(2) 2 : 3
(3) 9 : 11
(4) 9 : 13
(5) 1 : 3
6.Out of the total number of students studying Dentistry, what percent knows at least two languages?
(1) 6112/13
(2) 5713/16
(3) 5913/17
(4) 661/4
(5) 6212/19
7.What percent of the total number of girls in the college do not know Hindi? (rounded off to nearest integer)
(1) 38
(2) 46
(3) 48
(4) 36
(5) 43
Directions—(8-12) Study the information carefully to answer the questions that follow—
A school consisting of a total of 3120 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz. Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in only Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in only Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in only Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in only Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.
8.Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school ?
(1) 22
(2) 38
(3) 64
(4) 28
(5) 26
9. What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same ?
(1) 77 : 26
(2) 21 : 73
(3) 26 : 77
(4) 73 : 21
(5) None of these
10. Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (Rounded off to two digits after decimal)
(1) 38•67
(2) 35•71
(3) 41•83
(4) 28•62
(5) None of these
11. What is the total number of boys who are enrolled in Dancing ?
(1) 636
(2) 728
(3) 584
(4) 868
(5) None of these
12. What is the total number of students enrolled in all the three classes together ?
(1) 150
(2) 125
(3) 140
(4) 160
(5) None of these
Answers :-
Ans.(1-7)
1.(4)
Required number of students = 72 + 45+ 54 + 27 = 198
2.(3)
Required number of students = 54 + 27 + 32 + 56= 169
3.(5)
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%
4.(1)
Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292
5.(2)
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3
6. (4)
Required ratio = (108+90+63+54+54+54+27+27)/720x 100% = 661/4 %
7.(5)
43%
Ans.(8-12)
8. (5)
Required percentage = (364 + 312 + 130)/3120 * 100 = 26
9. (3)
Required ratio = 260 : 770 = 26 : 77
10. (2)
Required percentage = 130/364 * 100 = 35.71
11. (4)
Total number of boys who are enrolled in Dancing = 364 + 156 + 140 + 208 = 868
12. (5)
Total number of students enrolled in all the three classes together = 130 + 140 = 270
Ans.(1-7)
1.(4)
Required number of students = 72 + 45+ 54 + 27 = 198
2.(3)
Required number of students = 54 + 27 + 32 + 56= 169
3.(5)
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%
4.(1)
Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292
5.(2)
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3
6. (4)
Required ratio = (108+90+63+54+54+54+27+27)/720x 100% = 661/4 %
7.(5)
43%
Ans.(8-12)
8. (5)
Required percentage = (364 + 312 + 130)/3120 * 100 = 26
9. (3)
Required ratio = 260 : 770 = 26 : 77
10. (2)
Required percentage = 130/364 * 100 = 35.71
11. (4)
Total number of boys who are enrolled in Dancing = 364 + 156 + 140 + 208 = 868
12. (5)
Total number of students enrolled in all the three classes together = 130 + 140 = 270
