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Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following questions?
1855 of (22/3) of (243/11) ÷ (11130/36) =?
Correct
Answer a
1855*(22/3)*(243/11)*(36/11130) = x
X = 972
Incorrect
Answer a
1855*(22/3)*(243/11)*(36/11130) = x
X = 972
Question 11 of 20
11. Question
A shopkeeper sells an item at a profit of 20%. If he reduces the price of the item by Rs 700, he incurs a loss of 15%. What is the cost price of the item?
Correct
Answer d
Let the cost price of the item be x
So,
120 % of x – 85 % of x = 700
35% of x = 700
35x/100 = 700
x = 700*100/35
x = 2000
Cost price of the item = Rs. 2000
Incorrect
Answer d
Let the cost price of the item be x
So,
120 % of x – 85 % of x = 700
35% of x = 700
35x/100 = 700
x = 700*100/35
x = 2000
Cost price of the item = Rs. 2000
Question 12 of 20
12. Question
Two trains A and B of the same length running in the same direction with a speed of 72 km/hr and 108 km/hr respectively can cross each other in how many seconds if train A crosses a standing man in 12 seconds?
Correct
Answer c
Speed of train A in m/s= 72*5/18= 20 m/s
Length of train A= 20*12 = 240 m
Speed of train B in m/s= 108*5/18= 30 m/s
The time required to cross each other
= (240+240)/(30-20)
= 480/10
= 48 seconds
Incorrect
Answer c
Speed of train A in m/s= 72*5/18= 20 m/s
Length of train A= 20*12 = 240 m
Speed of train B in m/s= 108*5/18= 30 m/s
The time required to cross each other
= (240+240)/(30-20)
= 480/10
= 48 seconds
Question 13 of 20
13. Question
If the compound interest on a certain sum for 2 years at 10% per annum is Rs. 6300, then find the corresponding simple interest?
Correct
Answer b
Let the sum of money be x,
x*[(1 + (10/100))^{2} – 1] = 6300
x*[(11/10)^{2} – 1] = 6300
x*[(121/100) – 1] = 6300
x*(21/100) = 6300
x = 6300*(100/21) = Rs. 30000
Simple interest on the sum= (30000*10*2)/100= Rs. 6000
(Or)
Short-cut formula of Compound interest for 2 years
Compound interest for 2 years in terms of % = x+x+(x*x)/100
Here x is a rate of interest
10+10+(10*10)/100 = 20+1 = 21%
6300 –à 21%
? –à 100%
100% = 6300/21*100 = Rs. 30000
Simple interest for same sum = (30000* 10* 2)/100 = Rs.6000
Incorrect
Answer b
Let the sum of money be x,
x*[(1 + (10/100))^{2} – 1] = 6300
x*[(11/10)^{2} – 1] = 6300
x*[(121/100) – 1] = 6300
x*(21/100) = 6300
x = 6300*(100/21) = Rs. 30000
Simple interest on the sum= (30000*10*2)/100= Rs. 6000
(Or)
Short-cut formula of Compound interest for 2 years
Compound interest for 2 years in terms of % = x+x+(x*x)/100
Here x is a rate of interest
10+10+(10*10)/100 = 20+1 = 21%
6300 –à 21%
? –à 100%
100% = 6300/21*100 = Rs. 30000
Simple interest for same sum = (30000* 10* 2)/100 = Rs.6000
Question 14 of 20
14. Question
The speed of the man in still water is 7.5 km/hr and the rate of flow of water is 2.5 km/hr. He takes 30 hours to row to a place and back. Find the distance between these two places?
Correct
Answer d
Let the distance be x,
The speed of man in still water = 7.5 km/hr
Speed of stream = 2.5 km/hr
Speed of upstream = 7.5 – 2.5 = 5 km/hr
Speed of downstream = 7.5 + 2.5 = 10 km/hr
According to the question,
(x/10) + (x/5) = 30
3x/10 = 30
X = 100 km
Incorrect
Answer d
Let the distance be x,
The speed of man in still water = 7.5 km/hr
Speed of stream = 2.5 km/hr
Speed of upstream = 7.5 – 2.5 = 5 km/hr
Speed of downstream = 7.5 + 2.5 = 10 km/hr
According to the question,
(x/10) + (x/5) = 30
3x/10 = 30
X = 100 km
Question 15 of 20
15. Question
A starts a business with a capital of Rs. 1500. B joins the business 6 months after the start of the business and C joins the business after 8 months. At the end of the year, their respective shares in the profit were in the ratio of 5:3:3. What is the sum of the amount invested by B and C together?
Correct
Answer c
Let the initial investment of B and C be x and y,
Ratios of profits = >
[1500*12] : [6x] : [4y] = 5:3:3
5’s = 1500*12
1’s = 3600
3’s = 10800
Capital of B
= > 6x = 10800
= > x = 10800/6 = Rs. 1800
Capital of C
= > 4y = 10800
= > y = 10800/4 = Rs. 2700
Total Money invested by B and C = 1800 + 2700= Rs. 4500
Incorrect
Answer c
Let the initial investment of B and C be x and y,
Ratios of profits = >
[1500*12] : [6x] : [4y] = 5:3:3
5’s = 1500*12
1’s = 3600
3’s = 10800
Capital of B
= > 6x = 10800
= > x = 10800/6 = Rs. 1800
Capital of C
= > 4y = 10800
= > y = 10800/4 = Rs. 2700
Total Money invested by B and C = 1800 + 2700= Rs. 4500
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the percentage of marks scored by five students in different subjects.
Gk
(125)
Maths
(200)
English
(150)
Hindi
(125)
Science
(175)
Sanskrit
(75)
P
67
78
81
72
69
89
Q
83
91
85
79
66
75
R
75
88
75
69
80
85
S
91
93
65
68
72
80
T
65
72
92
91
85
86
Find the ratio of total marks scored by Student Q to that of total marks scored by Student S in all the given subjects?
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the percentage of marks scored by five students in different subjects.
Gk
(125)
Maths
(200)
English
(150)
Hindi
(125)
Science
(175)
Sanskrit
(75)
P
67
78
81
72
69
89
Q
83
91
85
79
66
75
R
75
88
75
69
80
85
S
91
93
65
68
72
80
T
65
72
92
91
85
86
Total marks scored by Student P in Maths, English and Sanskrit together is approximately what percentage of total marks scored by Student R in Gk, Hindi and Science together?
Correct
Answer b
Total marks scored by Student P in Maths, English and Sanskrit together
= > (78/100)*200 + (81/100)*150 + (89/100)*75
= > 156 + 121.5 + 66.75
= > 344.25
Total marks scored by Student R in Gk, Hindi and Science together
= > (75/100)*125 + (69/100)*125 + (80/100)*175
= > 93.75 + 86.25 + 140
= > 320
Required % = (344.25/320)*100 = 107.57 % = 108 %
Incorrect
Answer b
Total marks scored by Student P in Maths, English and Sanskrit together
= > (78/100)*200 + (81/100)*150 + (89/100)*75
= > 156 + 121.5 + 66.75
= > 344.25
Total marks scored by Student R in Gk, Hindi and Science together
= > (75/100)*125 + (69/100)*125 + (80/100)*175
= > 93.75 + 86.25 + 140
= > 320
Required % = (344.25/320)*100 = 107.57 % = 108 %
Question 18 of 20
18. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the percentage of marks scored by five students in different subjects.
Gk
(125)
Maths
(200)
English
(150)
Hindi
(125)
Science
(175)
Sanskrit
(75)
P
67
78
81
72
69
89
Q
83
91
85
79
66
75
R
75
88
75
69
80
85
S
91
93
65
68
72
80
T
65
72
92
91
85
86
Find the approximate overall percentage of marks scored by the student S?
A shopkeeper sells an item at a profit of 20%. If he reduces the price of the item by Rs 700, he incurs a loss of 15%. What is the cost price of the item?
1800
2300
2700
2000
None of these
Two trains A and B of the same length running in the same direction with a speed of 72 km/hr and 108 km/hr respectively can cross each other in how many seconds if train A crosses a standing man in 12 seconds?
52 seconds
45 seconds
48 seconds
56 seconds
None of these
If the compound interest on a certain sum for 2 years at 10% per annum is Rs. 6300, then find the corresponding simple interest?
7500
6000
8200
7800
None of these
The speed of the man in still water is 7.5 km/hr and the rate of flow of water is 2.5 km/hr. He takes 30 hours to row to a place and back. Find the distance between these two places?
130 km
165 km
142 km
100 km
None of these
A starts a business with a capital of Rs. 1500. B joins the business 6 months after the start of the business and C joins the business after 8 months. At the end of the year, their respective shares in the profit were in the ratio of 5:3:3. What is the sum of the amount invested by B and C together?
5400
6300
4500
7200
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the percentage of marks scored by five students in different subjects.
Gk
(125)
Maths
(200)
English
(150)
Hindi
(125)
Science
(175)
Sanskrit
(75)
P
67
78
81
72
69
89
Q
83
91
85
79
66
75
R
75
88
75
69
80
85
S
91
93
65
68
72
80
T
65
72
92
91
85
86
Find the ratio of total marks scored by Student Q to that of total marks scored by Student S in all the given subjects?
2456 : 2335
3345 : 3217
2735 : 2673
3134 : 2987
None of these
Total marks scored by Student P in Maths, English and Sanskrit together is approximately what percentage of total marks scored by Student R in Gk, Hindi and Science together?
115 %
108 %
96 %
84 %
127 %
Find the approximate overall percentage of marks scored by the student S?
79 %
85 %
66 %
93 %
88 %
Find the total marks scored by all the students in the subject Maths?
812
844
936
728
None of these
Find the difference between the total marks scored by the student T to that of total marks scored by the student Q?
5
12
5
8
None of these
Answers:
Directions (Q. 1 – 5):
Answer c
The pattern is, +(1^{2}+1), +(2^{2}+2), +(3^{2}+3), +(4^{2}+4),..
The answer is, 137
(Or)
The difference of the following series is (1*2), (2*3), (3*4), (4*5)….