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Directions (Q. 6 – 10): What approximate value should come in the place of question mark (?) in the following questions?
5 13/15 of 4349 + 6 2/19 of 3850 = ? + 639
Correct
Answer: d)
(6*4350) + (6*3850) = x + 640
26100 + 23100 – 640 = x
X = 48560
Incorrect
Answer: d)
(6*4350) + (6*3850) = x + 640
26100 + 23100 – 640 = x
X = 48560
Question 10 of 20
10. Question
Directions (Q. 6 – 10): What approximate value should come in the place of question mark (?) in the following questions?
(3 8/9) ÷ (4 1/5) × (406/398) × 119 = (2/3) of (6/7) of (307/175) of (?)
Correct
Answer: c)
(4/4)*(400/400)*120 = (2/3)*(6/7)*(308/176)*(x)
120 = x
Incorrect
Answer: c)
(4/4)*(400/400)*120 = (2/3)*(6/7)*(308/176)*(x)
120 = x
Question 11 of 20
11. Question
4 years ago, the age of mother is 4 times that of his son. After 6 years, mother and son is in the ratio of 5:2. Find the ratio of ages of mother and son, after 13 years?
Correct
Answer: c)
4 years ago, Mother : Son = 4 : 1 <=(4x, x)
After 6 years, M : S =5 : 2
According to the question,
4x + 10/ x+10 = 5/2
8x + 20 = 5x + 50
3x = 30
X = 10
Present ages of mother and son = (4x+4, x+4) = 44, 14
After 13 years, Ratio of mother and son = (44+13, 14+13)
= > 57 : 27 = 19 : 9
Incorrect
Answer: c)
4 years ago, Mother : Son = 4 : 1 <=(4x, x)
After 6 years, M : S =5 : 2
According to the question,
4x + 10/ x+10 = 5/2
8x + 20 = 5x + 50
3x = 30
X = 10
Present ages of mother and son = (4x+4, x+4) = 44, 14
After 13 years, Ratio of mother and son = (44+13, 14+13)
= > 57 : 27 = 19 : 9
Question 12 of 20
12. Question
Three pipes A, B and C can fill a tank in 8 hours. After working at it together for 3 hours, then C is closed and A and B can fill the remaining part in 6 hours. How much time taken by C to fill the tank alone?
Correct
Answer: b)
Three pipes A, B and C can fill a tank in 8 hours.
A, B and C’s 1 hour work=1/8
A, B and C’s 3 hour work= 3/8
Remaining work= 1-3/8 =5/8
The remaining part will be filled by A and B in 6 hours. Then,
= > (5/8) *(A+B) = 6
= > (A+B)’s whole work= 48/5 hr
(A+B)’s 1 hour work= 5/48
A, B and C’s 1 hour work=1/8
C’s 1 hour work= (A+B+C)-(A+B)
= > (1/8) – (5/48)
= > 1/48
C can fill the tank in 48 hours.
Incorrect
Answer: b)
Three pipes A, B and C can fill a tank in 8 hours.
A, B and C’s 1 hour work=1/8
A, B and C’s 3 hour work= 3/8
Remaining work= 1-3/8 =5/8
The remaining part will be filled by A and B in 6 hours. Then,
= > (5/8) *(A+B) = 6
= > (A+B)’s whole work= 48/5 hr
(A+B)’s 1 hour work= 5/48
A, B and C’s 1 hour work=1/8
C’s 1 hour work= (A+B+C)-(A+B)
= > (1/8) – (5/48)
= > 1/48
C can fill the tank in 48 hours.
Question 13 of 20
13. Question
The area of a square is 1024 sq cm. What is respective ratio between the length and the breadth of a rectangle whose length is twice the side of square and breadth is 12 cm less than the side of square?
Correct
Answer: b)
Area of square =1024cm
Side = √(1024) = 32cm
Length of rectangle = 2 × 32 = 64cm
Breadth =32 – 12 =20cm
Ratio = 64 : 20 =16 : 5
Incorrect
Answer: b)
Area of square =1024cm
Side = √(1024) = 32cm
Length of rectangle = 2 × 32 = 64cm
Breadth =32 – 12 =20cm
Ratio = 64 : 20 =16 : 5
Question 14 of 20
14. Question
The simple interest on a sum of money is 1/16 of the sum. If the number of years is equal to the rate percent per annum, then the rate percent per annum is
Correct
Answer: c)
S.I = (1 / 16) P
(1 / 16) P = (P × r × r) / 100 (Here n=r)
1 / 16 = r^{2} / 100
r^{2} =100/16
r = 10 / 4 = 2 1/2 %
Incorrect
Answer: c)
S.I = (1 / 16) P
(1 / 16) P = (P × r × r) / 100 (Here n=r)
1 / 16 = r^{2} / 100
r^{2} =100/16
r = 10 / 4 = 2 1/2 %
Question 15 of 20
15. Question
The speed of the current is 4 km/hr. A boat goes 10 km upstream and comes back to starting point in 80 min. What is the speed of the boat in still water? (In km/hr)
Correct
Answer: b)
Let the speed of boat be x km/hr
According to the question, 10/(x – 4) + 10/(x + 4) = 80/60
=> 10 (x + 4 + x – 4) = 4/3(x^{2} – 16)
=> 15x = x^{2} – 16
=>x^{2} – 16 – 15x = 0
=> x = 16, -1
Therefore, the speed of boat in still water = 16km/hr
Incorrect
Answer: b)
Let the speed of boat be x km/hr
According to the question, 10/(x – 4) + 10/(x + 4) = 80/60
=> 10 (x + 4 + x – 4) = 4/3(x^{2} – 16)
=> 15x = x^{2} – 16
=>x^{2} – 16 – 15x = 0
=> x = 16, -1
Therefore, the speed of boat in still water = 16km/hr
Question 16 of 20
16. Question
Directions (Q. 16 – 20): Study the following information carefully and answer the given questions.
The following graph shows the ratio of import to export of three different countries over the years.
If the import of India was Rs. 8 million in 2013 and the export of Nepal in 2010 was 3/2 times of import of India in 2013, then the import of Nepal in 2010 is how much percentage more than the export of India in 2013?
Correct
Answer: a)
Import of India in 2013 = 8 million
Export of Nepal in 2010 = 8*(3/2) = 12 million
Import of Nepal in 2010
10’s = 12
1’s = (12/10)
= > 9’s = (12/10)*9 = 10.8 million
Export of India in 2013
8’s = 8
1’s = 1
= > 10’s = (8/8)*10 = Rs. 10 million
Required % = [(10.8 – 10)/10]*100 = 8 %
Incorrect
Answer: a)
Import of India in 2013 = 8 million
Export of Nepal in 2010 = 8*(3/2) = 12 million
Import of Nepal in 2010
10’s = 12
1’s = (12/10)
= > 9’s = (12/10)*9 = 10.8 million
Export of India in 2013
8’s = 8
1’s = 1
= > 10’s = (8/8)*10 = Rs. 10 million
Required % = [(10.8 – 10)/10]*100 = 8 %
Question 17 of 20
17. Question
Directions (Q. 16 – 20): Study the following information carefully and answer the given questions.
The following graph shows the ratio of import to export of three different countries over the years.
If the amount of export of Srilanka in 2011 was Rs. 20 million, then find the amount of import of Srilanka in the same year?
Correct
Answer: a)
Export of Srilanka in 2011 = Rs. 20 million
Import of Srilanka in 2011
10’s = 20
1’s = 2
= > 4’s = 8 million
Incorrect
Answer: a)
Export of Srilanka in 2011 = Rs. 20 million
Import of Srilanka in 2011
10’s = 20
1’s = 2
= > 4’s = 8 million
Question 18 of 20
18. Question
Directions (Q. 16 – 20): Study the following information carefully and answer the given questions.
The following graph shows the ratio of import to export of three different countries over the years.
If the amount of Export for Srilanka in the year 2012, 2014 and 2015 is same, which is equal to 50 million, then find the average amount of Import for Srilanka in the year 2012, 2014 and 2015?
Correct
Answer: c)
The import of Srilanka in the year 2012
10’s = 50
1’s = 5
= > 11’s = 55 million
The import of Srilanka in the year 2014
10’s = 50
1’s = 5
= > 5’s = 25 million
The import of Srilanka in the year 2015
10’s = 50
1’s = 5
= > 14’s = 70 million
Required average = (55 + 25 + 70)/3 = 150/3 = 50 million
Incorrect
Answer: c)
The import of Srilanka in the year 2012
10’s = 50
1’s = 5
= > 11’s = 55 million
The import of Srilanka in the year 2014
10’s = 50
1’s = 5
= > 5’s = 25 million
The import of Srilanka in the year 2015
10’s = 50
1’s = 5
= > 14’s = 70 million
Required average = (55 + 25 + 70)/3 = 150/3 = 50 million
Question 19 of 20
19. Question
Directions (Q. 16 – 20): Study the following information carefully and answer the given questions.
The following graph shows the ratio of import to export of three different countries over the years.
If the amount of import for India in the year 2014 and the amount of export for Nepal in 2015 are same, then find the ratio of the amount of export in 2014 for India to the amount of import in 2015 for Nepal?
Correct
Answer: d)
Import of India in 2014 = Export of Nepal in 2015 = x
Required ratio = [x/(4/10)] : [x/1] = 5 : 2
Incorrect
Answer: d)
Import of India in 2014 = Export of Nepal in 2015 = x
Required ratio = [x/(4/10)] : [x/1] = 5 : 2
Question 20 of 20
20. Question
Directions (Q. 16 – 20): Study the following information carefully and answer the given questions.
The following graph shows the ratio of import to export of three different countries over the years.
If the amount of import for Nepal in 2012 was 28 million and the amount of export for Srilanka in 2015 was 25 million, then find the amount of export for Nepal in 2012 is what percentage of the amount of import for Srilanka in 2015?
Correct
Answer: b)
The amount of export for Nepal in 2012
4’s = 28
1’s = 7
= > 10’s = 70 million
The amount of import for Srilanka in 2015
10’s = 25
1’s = 2.5
= > 14’s = 35 million
Required % = (70/35)*100 = 200 %
Incorrect
Answer: b)
The amount of export for Nepal in 2012
4’s = 28
1’s = 7
= > 10’s = 70 million
The amount of import for Srilanka in 2015
10’s = 25
1’s = 2.5
= > 14’s = 35 million
Required % = (70/35)*100 = 200 %
Click “Start Quiz” to attend these Questions and view Solutions
10) (3 8/9) ÷ (4 1/5) × (406/398) × 119 = (2/3) of (6/7) of (307/175) of (?)
150
240
120
190
None of these
11) 4 years ago, the age of mother is 4 times that of his son. After 6 years, mother and son is in the ratio of 5:2. Find the ratio of ages of mother and son, after 13 years?
15:4
12:7
19:9
21:14
None of these
12) Three pipes A, B and C can fill a tank in 8 hours. After working at it together for 3 hours, then C is closed and A and B can fill the remaining part in 6 hours. How much time taken by C to fill the tank alone?
36 hours
48 hours
42 hours
32 hours
None of these
13) The area of a square is 1024 sq cm. What is respective ratio between the length and the breadth of a rectangle whose length is twice the side of square and breadth is 12 cm less than the side of square?
5 : 16
16 : 5
14 : 5
32 : 5
None of these
14) The simple interest on a sum of money is 1/16 of the sum. If the number of years is equal to the rate percent per annum, then the rate percent per annum is
3 1/3
6 2/3
2 1/2
7 1/2
None of these
15) The speed of the current is 4 km/hr. A boat goes 10 km upstream and comes back to starting point in 80 min. What is the speed of the boat in still water? (In km/hr)
a) 10
b) 16
c) 14
d) 12
e) 8
Directions (Q. 16 – 20): Study the following information carefully and answer the given questions.
The following graph shows the ratio of import to export of three different countries over the years.
16) If the import of India was Rs. 8 million in 2013 and the export of Nepal in 2010 was 3/2 times of import of India in 2013, then the import of Nepal in 2010 is how much percentage more than the export of India in 2013?
8 %
15 %
24 %
4 %
29 %
17) If the amount of export of Srilanka in 2011 was Rs. 20 million, then find the amount of import of Srilanka in the same year?
Rs. 8 million
Rs. 10 million
Rs. 6 million
Rs. 12 million
Can’t be determined
18) If the amount of Export for Srilanka in the year 2012, 2014 and 2015 is same, which is equal to 50 million, then find the average amount of Import for Srilanka in the year 2012, 2014 and 2015?
45 million
35 million
50 million
55 million
None of these
19) If the amount of import for India in the year 2014 and the amount of export for Nepal in 2015 are same, then find the ratio of the amount of export in 2014 for India to the amount of import in 2015 for Nepal?
3 : 5
16 : 9
7 : 16
5 : 2
8 : 3
20) If the amount of import for Nepal in 2012 was 28 million and the amount of export for Srilanka in 2015 was 25 million, then find the amount of export for Nepal in 2012 is what percentage of the amount of import for Srilanka in 2015?
150 %
200 %
125 %
175 %
100 %
Answer with Explanation:
1). Answer: a)
Explanation:
I. 9x^{2} – 100x + 171 = 0
9x^{2} – 100x + 171 = 0
(9x – 19) (x – 9) = 0
x = 19/9, 9
II. 4y^{2} +16y +12 =0
4(y^{2} + 4y + 3) =0
y^{2} + 4y +3 =0
(y + 1) (y + 3) =0
Y = -1, -3
X > y
2) Answer: e)
Explanation:
I. 30x^{2} + 89x +58 = 0
30x^{2} + 60x + 29x +58 = 0
30x (x + 2) + 29 (x + 2) = 0
(30x + 29) (x + 2) = 0
X = -29/30, -2
II. 27y^{2} -51y -56 = 0
27y^{2} – 72y + 21y – 56 = 0
9y (3y – 8) +7(3y – 8) = 0
(9y + 7)(3y – 8) = 0
Y = -7/9, 8/3
Can’t be determined
3) Answer: c)
Explanation:
I. 5x^{2 }+ 19x + 12 = 0
5x^{2 }+ 15x+ 4x + 12 = 0
5x(x + 3) + 4(x + 3)=0
(5x + 4) (x + 3) = 0
x = -4/5, -3
II. 32y^{2 }– 28y + 3 = 0
32y^{2 }– 28y + 3 = 0
(8y – 1)(4y – 3) = 0
y = 1/8, ¾
x < y
4) Answer: b)
Explanation:
I. 2x^{2} -15x +22 = 0
2x^{2} – 4x- 11x + 22 = 0
2x(x – 2)-11 (x – 2) = 0
(2x – 11)(x – 2) = 0
X= 11/2, 2
II. 4y^{2} -13y +10 = 0
4y^{2} – 8y -5y +10 = 0
4y(x – 2)-5 (x – 2) = 0
(4y-5)(x – 2) = 0
Y= 5/4, 2
X ≥ y
5) Answer: e)
Explanation:
I. 2x^{2} – 6x – 20 = 0
2x^{2} + 4x -10x – 20 = 0
2x(x + 2) -10(x + 2) = 0
(2x – 10) (x + 2) = 0
X= -2, 5
II. 5y^{2} – 28y + 39 = 0
5y^{2} – 15y -13y +39 = 0
5y(y – 3)-13 (y – 3) = 0
(5y – 13)(y – 3) = 0
Y= 13/5, 3
Can’t be determined
6). Answer: d)
Explanation:
74 % of 350 + 46 % of 1550 = ? – 13^{3}
(74/100)*350 + (46/100)*1550 = x – 2197
259 + 713 = x – 2197
X = 259 + 713 + 2197
X = 3169 = 3170
7) Answer: b)
Explanation:
17 % of 17200 + 32 % of 2150 + 46 % 19600 = x
(17/100)*17200 + (32/100)*2150 + (46/100)*19600 = x
X = 2924 + 688 + 9016
X = 12628 = 12630
8) Answer: a)
Explanation:
48 % of 5250 + 96^{2} ÷ 8 × 3 + 5^{3} = 5 × ?
(48/100)*5250 + (96*96*3)/8 + 125 = 5x
5x = 2520 + 3456 + 125
5x = 6101
X = 6100/5 = 1220
9) Answer: d)
Explanation:
(6*4350) + (6*3850) = x + 640
26100 + 23100 – 640 = x
X = 48560
10) Answer: c)
Explanation:
(4/4)*(400/400)*120 = (2/3)*(6/7)*(308/176)*(x)
120 = x
11) Answer: c)
Explanation:
4 years ago, Mother : Son = 4 : 1 <=(4x, x)
After 6 years, M : S =5 : 2
According to the question,
4x + 10/ x+10 = 5/2
8x + 20 = 5x + 50
3x = 30
X = 10
Present ages of mother and son = (4x+4, x+4) = 44, 14
After 13 years, Ratio of mother and son = (44+13, 14+13)
= > 57 : 27 = 19 : 9
12) Answer: b)
Explanation:
Three pipes A, B and C can fill a tank in 8 hours.
A, B and C’s 1 hour work=1/8
A, B and C’s 3 hour work= 3/8
Remaining work= 1-3/8 =5/8
The remaining part will be filled by A and B in 6 hours. Then,
= > (5/8) *(A+B) = 6
= > (A+B)’s whole work= 48/5 hr
(A+B)’s 1 hour work= 5/48
A, B and C’s 1 hour work=1/8
C’s 1 hour work= (A+B+C)-(A+B)
= > (1/8) – (5/48)
= > 1/48
C can fill the tank in 48 hours.
13) Answer: b)
Explanation:
Area of square =1024cm
Side = √(1024) = 32cm
Length of rectangle = 2 × 32 = 64cm
Breadth =32 – 12 =20cm
Ratio = 64 : 20 =16 : 5
14) Answer: c)
Explanation:
S.I = (1 / 16) P
(1 / 16) P = (P × r × r) / 100 (Here n=r)
1 / 16 = r^{2} / 100
r^{2} =100/16
r = 10 / 4 = 2 ½ %
15) Answer: b)
Explanation:
Let the speed of boat be x km/hr
According to the question, 10/(x – 4) + 10/(x + 4) = 80/60
=> 10 (x + 4 + x – 4) = 4/3(x^{2} – 16)
=> 15x = x^{2} – 16
=>x^{2} – 16 – 15x = 0
=> x = 16, -1
Therefore, the speed of boat in still water = 16km/hr
16). Answer: a)
Explanation:
Import of India in 2013 = 8 million
Export of Nepal in 2010 = 8*(3/2) = 12 million
Import of Nepal in 2010
10’s = 12
1’s = (12/10)
= > 9’s = (12/10)*9 = 10.8 million
Export of India in 2013
8’s = 8
1’s = 1
= > 10’s = (8/8)*10 = Rs. 10 million
Required % = [(10.8 – 10)/10]*100 = 8 %
17) Answer: a)
Explanation:
Export of Srilanka in 2011 = Rs. 20 million
Import of Srilanka in 2011
10’s = 20
1’s = 2
= > 4’s = 8 million
18) Answer: c)
Explanation:
The import of Srilanka in the year 2012
10’s = 50
1’s = 5
= > 11’s = 55 million
The import of Srilanka in the year 2014
10’s = 50
1’s = 5
= > 5’s = 25 million
The import of Srilanka in the year 2015
10’s = 50
1’s = 5
= > 14’s = 70 million
Required average = (55 + 25 + 70)/3 = 150/3 = 50 million
19) Answer: d)
Explanation:
Import of India in 2014 = Export of Nepal in 2015 = x