“20-20” Quantitative Aptitude | Crack SBI PO Prelims 2018 Day-116
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Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
13, 22, 75, 284, 1445, ?
Correct
Answer c
The pattern is, *2 -2^{2}, *3 +3^{2}, *4 – 4^{2}, *5 + 5^{2}, *6 – 6^{2}….
The answer is, 8634
Incorrect
Answer c
The pattern is, *2 -2^{2}, *3 +3^{2}, *4 – 4^{2}, *5 + 5^{2}, *6 – 6^{2}….
The answer is, 8634
Question 7 of 20
7. Question
Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
141, 160, 198, 255, 331, ?
Correct
Answer b
The pattern is, +(1*19), +(2*19), +(3*19), +(4*19), +(5*19),..
The answer is, 426
Incorrect
Answer b
The pattern is, +(1*19), +(2*19), +(3*19), +(4*19), +(5*19),..
The answer is, 426
Question 8 of 20
8. Question
Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
17, 16, 24, 45, 116, ?
Correct
Answer a
The pattern is, *1 – 1^{3}, *2 – 2^{3}, *3 – 3^{3}, *4 – 4^{3}, *5 – 5^{3},..
The answer is, 455
Incorrect
Answer a
The pattern is, *1 – 1^{3}, *2 – 2^{3}, *3 – 3^{3}, *4 – 4^{3}, *5 – 5^{3},..
The answer is, 455
Question 9 of 20
9. Question
Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
113, 226, 904, 5424, ?
Correct
Answer e
The pattern is, *2, *4, *6, *8,…
The answer is, 43392
Incorrect
Answer e
The pattern is, *2, *4, *6, *8,…
The answer is, 43392
Question 10 of 20
10. Question
Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
728, 735, 784, 1127, ?
Correct
Answer d
The pattern is, +7^{1}, +7^{2}, +7^{3}, +7^{4}….
The answer is, 3528
Incorrect
Answer d
The pattern is, +7^{1}, +7^{2}, +7^{3}, +7^{4}….
The answer is, 3528
Question 11 of 20
11. Question
A 175 m long train crosses another 225 m long train in 18 sec, running in opposite direction. If the speed of the first train is 45 km/hr, then find the speed of the second train (in km/hr)?
Correct
Answer d
T= D/ S
Two trains running in opposite direction, so,
Relative Speed = S1 +S2 = 45 + x (Let speed of second train be x)
18 = (175 + 225)/ ((45+x)*(5/18))
18*(45+x)*5 = 400*18
45+x = 80
X= 80 – 45 = 35 km/hr
Incorrect
Answer d
T= D/ S
Two trains running in opposite direction, so,
Relative Speed = S1 +S2 = 45 + x (Let speed of second train be x)
18 = (175 + 225)/ ((45+x)*(5/18))
18*(45+x)*5 = 400*18
45+x = 80
X= 80 – 45 = 35 km/hr
Question 12 of 20
12. Question
The average weight of 12 persons is increased by 3 when one of the person whose weight is 58 kg is replaced by 2 women. Find the average weight of 2 women?
Correct
Answer a
Increased weight = 12*3 = 36 kg
So 2 women’s weight = 58 kg + 36 kg = 94 kg
Average weight of 2 women = 94/2 = 47 kg
Incorrect
Answer a
Increased weight = 12*3 = 36 kg
So 2 women’s weight = 58 kg + 36 kg = 94 kg
Average weight of 2 women = 94/2 = 47 kg
Question 13 of 20
13. Question
Rajiv spends 25% of his monthly income on food and 28% on education of his children. Of the remaining salary, he spends 12% on entertainment and 15% on transport. He is now left with Rs. 13724. What is the monthly salary of Rajiv?
Correct
Answer c
Let Rajiv’s monthly salary be x,
According to the question,
X*(47/100)*(73/100) = 13724
X = 13724*(100/47)*(100/73)
X = Rs. 40000
Incorrect
Answer c
Let Rajiv’s monthly salary be x,
According to the question,
X*(47/100)*(73/100) = 13724
X = 13724*(100/47)*(100/73)
X = Rs. 40000
Question 14 of 20
14. Question
If the difference between the discount of 40% and two successive discount of 25% and 16% is equal to Rs 330, then find the cost price of article if the shopkeeper marked up the price by 25%?
Correct
Answer b
Let the marked price be x,
According to the question,
X*(75/100)*(84/100) – x*(60/100) = 330
(63x/100) – (60x/100) = 330
(63x – 60x)/100 = 330
3x = 33000
X = 11000
(125/100)*CP = 11000
CP = 11000*(100/125) = Rs. 8800
Incorrect
Answer b
Let the marked price be x,
According to the question,
X*(75/100)*(84/100) – x*(60/100) = 330
(63x/100) – (60x/100) = 330
(63x – 60x)/100 = 330
3x = 33000
X = 11000
(125/100)*CP = 11000
CP = 11000*(100/125) = Rs. 8800
Question 15 of 20
15. Question
A train whose speed 108km/hr crosses a bridge in 15 seconds. Another train which is twice the length of first train crosses the same bridge at the speed of 15m/s in 40 seconds. Find the time taken by the second train to cross an electric pole?
Correct
Answer d
Speed of the first train = 108*(5/18) = 30 m/s
Let the length of the first train be x,
Length of second train = 2x
Let the length of the bridge be y,
First train,
15= (x + y)/30
450= x + y —à (1)
Second train
40= (2x + y)/ 15
600= 2x+y
600= 2x+y —à (2)
By solving both the equation (1) and (2), we get
X = 150 m, y = 300
Time taken by second train to cross an electric pole = 300/15 = 20 seconds.
Incorrect
Answer d
Speed of the first train = 108*(5/18) = 30 m/s
Let the length of the first train be x,
Length of second train = 2x
Let the length of the bridge be y,
First train,
15= (x + y)/30
450= x + y —à (1)
Second train
40= (2x + y)/ 15
600= 2x+y
600= 2x+y —à (2)
By solving both the equation (1) and (2), we get
X = 150 m, y = 300
Time taken by second train to cross an electric pole = 300/15 = 20 seconds.
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.
State
UPSC 2017
SSC CGL 2017
RRB 2017
Appearing
Pass %
Appearing
Pass %
Appearing
Pass %
A
98000
67 %
64000
55 %
65000
53 %
B
74000
55 %
76000
68 %
78000
74 %
C
66000
42 %
82000
76 %
96000
67 %
D
52000
60 %
58000
41 %
57000
59 %
E
85000
52 %
90000
53 %
42000
48 %
Total number of students appearing from A and B together is approximately what percentage of total number of students appearing from D and E together for all the given examination?
Correct
Answer c
Total number of students appearing from A and B together for all the given examination
= > 98000 + 64000 + 65000 + 74000 + 76000 + 78000
= > 455000
Total number of students appearing from D and E together for all the given examination
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.
State
UPSC 2017
SSC CGL 2017
RRB 2017
Appearing
Pass %
Appearing
Pass %
Appearing
Pass %
A
98000
67 %
64000
55 %
65000
53 %
B
74000
55 %
76000
68 %
78000
74 %
C
66000
42 %
82000
76 %
96000
67 %
D
52000
60 %
58000
41 %
57000
59 %
E
85000
52 %
90000
53 %
42000
48 %
Find the total number of students passed in the UPSC 2017 tier – 1 for all the given states together?
Correct
Answer b
Total number of students passed in the UPSC 2017 tier – 1 for all the given states together
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.
State
UPSC 2017
SSC CGL 2017
RRB 2017
Appearing
Pass %
Appearing
Pass %
Appearing
Pass %
A
98000
67 %
64000
55 %
65000
53 %
B
74000
55 %
76000
68 %
78000
74 %
C
66000
42 %
82000
76 %
96000
67 %
D
52000
60 %
58000
41 %
57000
59 %
E
85000
52 %
90000
53 %
42000
48 %
Total number of passed students of UPSC and RRB 2017 tier – 1 in State A, C and E together is approximately what percentage more/less than the total number of passed students of SSC CGL and RRB 2017 tier – 1 in State B, D and E together?
Correct
Answer a
Total number of passed students of UPSC and RRB 2017 tier – 1 in State A, C and E together
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.
State
UPSC 2017
SSC CGL 2017
RRB 2017
Appearing
Pass %
Appearing
Pass %
Appearing
Pass %
A
98000
67 %
64000
55 %
65000
53 %
B
74000
55 %
76000
68 %
78000
74 %
C
66000
42 %
82000
76 %
96000
67 %
D
52000
60 %
58000
41 %
57000
59 %
E
85000
52 %
90000
53 %
42000
48 %
Find the ratio between the total number of appearing students of SSC CGL 2017 to that of UPSC 2017 tier – 1?
Correct
Answer d
The total number of appearing students of SSC CGL 2017 tier – 1
= > 64000 + 76000 + 82000 + 58000 + 90000
= > 370000
The total number of appearing students of UPSC 2017 tier – 1
= > 98000 + 74000 + 66000 + 52000 + 85000
= > 375000
Required ratio = 370000: 375000 = 74: 75
Incorrect
Answer d
The total number of appearing students of SSC CGL 2017 tier – 1
= > 64000 + 76000 + 82000 + 58000 + 90000
= > 370000
The total number of appearing students of UPSC 2017 tier – 1
= > 98000 + 74000 + 66000 + 52000 + 85000
= > 375000
Required ratio = 370000: 375000 = 74: 75
Question 20 of 20
20. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.
State
UPSC 2017
SSC CGL 2017
RRB 2017
Appearing
Pass %
Appearing
Pass %
Appearing
Pass %
A
98000
67 %
64000
55 %
65000
53 %
B
74000
55 %
76000
68 %
78000
74 %
C
66000
42 %
82000
76 %
96000
67 %
D
52000
60 %
58000
41 %
57000
59 %
E
85000
52 %
90000
53 %
42000
48 %
Find the total students passed tier – 1 in the state C of all the given examination?
Correct
Answer b
Total students passed tier – 1 in the state C of all the given examination
Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
13, 22, 75, 284, 1445, ?
5782
6578
8634
7356
4523
141, 160, 198, 255, 331, ?
552
426
384
478
462
17, 16, 24, 45, 116, ?
455
327
478
396
512
113, 226, 904, 5424, ?
36786
27843
34554
25325
43392
728, 735, 784, 1127, ?
2786
1945
2254
3528
3217
A 175 m long train crosses another 225 m long train in 18 sec, running in opposite direction. If the speed of the first train is 45 km/hr, then find the speed of the second train (in km/hr)?
32 km/hr
27 km/hr
24 km/hr
35 km/hr
None of these
The average weight of 12 persons is increased by 3 when one of the person whose weight is 58 kg is replaced by 2 women. Find the average weight of 2 women?
47 kg
44 kg
42 kg
39 kg
None of these
Rajiv spends 25% of his monthly income on food and 28% on education of his children. Of the remaining salary, he spends 12% on entertainment and 15% on transport. He is now left with Rs. 13724. What is the monthly salary of Rajiv?
Rs. 32000
Rs. 44000
Rs. 40000
Rs. 36000
None of these
If the difference between the discount of 40% and two successive discount of 25% and 16% is equal to Rs 330, then find the cost price of article if the shopkeeper marked up the price by 25%?
Rs. 7400
Rs. 8800
Rs. 6600
Rs. 9200
None of these
A train whose speed 108km/hr crosses a bridge in 15 seconds. Another train which is twice the length of first train crosses the same bridge at the speed of 15m/s in 40 seconds. Find the time taken by the second train to cross an electric pole?
24 sec
26 sec
28 sec
20 sec
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.
State
UPSC 2017
SSC CGL 2017
RRB 2017
Appearing
Pass %
Appearing
Pass %
Appearing
Pass %
A
98000
67 %
64000
55 %
65000
53 %
B
74000
55 %
76000
68 %
78000
74 %
C
66000
42 %
82000
76 %
96000
67 %
D
52000
60 %
58000
41 %
57000
59 %
E
85000
52 %
90000
53 %
42000
48 %
16. Total number of students appearing from A and B together is approximately what percentage of total number of students appearing from D and E together for all the given examination?
96 %
84 %
118 %
102 %
124 %
Find the total number of students passed in the UPSC 2017 tier – 1 for all the given states together?
178560
209480
165270
214530
None of these
Total number of passed students of UPSC and RRB 2017 tier – 1 in State A, C and E together is approximately what percentage more/less than the total number of passed students of SSC CGL and RRB 2017 tier – 1 in State B, D and E together?
9 % more
14 % less
27 % more
14 % more
9 % less
Find the ratio between the total number of appearing students of SSC CGL 2017 to that of UPSC 2017 tier – 1?
32 : 35
47 : 49
51 : 53
74 : 75
None of these
Find the total students passed tier – 1 in the state C of all the given examination?