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X – (11)^{2} ÷ 363 ×120 + 7^{3} = 16 % of 250 + (5670 ÷ 7)
X – (11*11*120)/363 + 343 = (16/100)*250 + (5670/7)
X – 40 + 343 = 40 + 810
X = 850 + 40 – 343
X = 547 = 550
Incorrect
Answer: d)
X – (11)^{2} ÷ 363 ×120 + 7^{3} = 16 % of 250 + (5670 ÷ 7)
X – (11*11*120)/363 + 343 = (16/100)*250 + (5670/7)
X – 40 + 343 = 40 + 810
X = 850 + 40 – 343
X = 547 = 550
Question 11 of 20
11. Question
A and B entered into a partnership and invested an amount of Rs. 60000 and 40000 respectively. After 5 months, A withdraws 2/3 of the capital and at the same time B invested 5000 more. And after 3 months, C entered into a partnership with an investment of 35000. Find the share of B, if the total profit at the end of the year is Rs. 98550?
The radius of the circle is equal to seven-ninth of the side of the square. The area of the square is 1296 sq cm. Find the perimeter of a circle?
Correct
Answer: a)
Radius = (7/9)*side
Area of square = a^{2} = 1296
Side (a) = 36 cm
Radius = (7/9)*36 = 28 cm
Perimeter of the circle = 2πr
= > 2*(22/7)*28
= > 176 cm
Incorrect
Answer: a)
Radius = (7/9)*side
Area of square = a^{2} = 1296
Side (a) = 36 cm
Radius = (7/9)*36 = 28 cm
Perimeter of the circle = 2πr
= > 2*(22/7)*28
= > 176 cm
Question 13 of 20
13. Question
After 4 years, the age of the mother is 2 times the present age of son. The sum of ages of mother and son, after 4 years is 94 years. Find the age of Mother, after 4 years?
Correct
Answer: d)
After 4 years, the ratio of age of the mother and the present age of son = 2: 1 (2x, x)
The sum of ages of mother and son, after 4 years = 94 years
The sum of the present ages of mother and son = 94 – 8 = 86 years
According to the question,
2x – 4 + x = 86
3x = 90
X = 30 years
Present ages of mother and son = (2x – 4, x) = 56 and 30 years
After 4 years, the age of the mother = 60 years
Incorrect
Answer: d)
After 4 years, the ratio of age of the mother and the present age of son = 2: 1 (2x, x)
The sum of ages of mother and son, after 4 years = 94 years
The sum of the present ages of mother and son = 94 – 8 = 86 years
According to the question,
2x – 4 + x = 86
3x = 90
X = 30 years
Present ages of mother and son = (2x – 4, x) = 56 and 30 years
After 4 years, the age of the mother = 60 years
Question 14 of 20
14. Question
A contractor undertook to do a piece of work in 56 days with the help of 150 men. After 36 days, he found that three-fifth of the work was already completed. How many men can be included to finish the work on time?
Correct
Answer: b)
Men days work
150 56 1
150 36 3/5
? 20 2/5
(Men1*day1)/work1 = (Men2*day2)/work2
150*36/(3/5) = x*20/(2/5)
= > x= 180
30 more men included to finish the work.
Incorrect
Answer: b)
Men days work
150 56 1
150 36 3/5
? 20 2/5
(Men1*day1)/work1 = (Men2*day2)/work2
150*36/(3/5) = x*20/(2/5)
= > x= 180
30 more men included to finish the work.
Question 15 of 20
15. Question
150 m long train crosses a pole in 8 sec and the same train crosses a bridge in 12 sec. Find the length of the bridge?
Correct
Answer: a)
According to the question,
Speed equal, so,
150/8 = (150+B.L)/12 (Here B.L is Bridge Length)
1800/8 = (150+B.L)
225 = (150+B.L)
B.L = 75 m
Incorrect
Answer: a)
According to the question,
Speed equal, so,
150/8 = (150+B.L)/12 (Here B.L is Bridge Length)
1800/8 = (150+B.L)
225 = (150+B.L)
B.L = 75 m
Question 16 of 20
16. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of mobile phones sold by a shopkeeper during 6 different months and the table shows the ratio of mobile phones sold by the company A and B during the given six months.
Find the difference between the total number of mobile phones sold by the company P in the month of Feb and Mar together to that of total number of mobile phones sold by the company Q in the month of Jan and Apr together?
Correct
Answer: b)
The total number of mobile phones sold by the company P in the month of Feb and Mar together
= > 75000*(12/100)*(2/3) + 75000*(18/100)*(7/15)
= > 6000 + 6300 = 12300
The total number of mobile phones sold by the company Q in the month of Jan and Apr together
= > 75000*(15/100)*(5/9) + 75000*(24/100)*(3/5)
= > 6250 + 10800 = 17050
Required difference = 17050 – 12300 = 4750
Incorrect
Answer: b)
The total number of mobile phones sold by the company P in the month of Feb and Mar together
= > 75000*(12/100)*(2/3) + 75000*(18/100)*(7/15)
= > 6000 + 6300 = 12300
The total number of mobile phones sold by the company Q in the month of Jan and Apr together
= > 75000*(15/100)*(5/9) + 75000*(24/100)*(3/5)
= > 6250 + 10800 = 17050
Required difference = 17050 – 12300 = 4750
Question 17 of 20
17. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of mobile phones sold by a shopkeeper during 6 different months and the table shows the ratio of mobile phones sold by the company A and B during the given six months.
Find the ratio between the total number of mobile phones sold by the company P in the month of Jan and May together to that of total number of mobile phones sold in the month of June?
Correct
Answer: d)
The total number of mobile phones sold by the company P in the month of Jan and May together
= > 75000*(15/100)*(4/9) + 75000*(20/100)*(11/15)
= > 5000 + 11000 = 16000
The total number of mobile phones sold in the month of June
= > 75000*(11/100)
= > 8250
Required ratio = 16000: 8250 = 64: 33
Incorrect
Answer: d)
The total number of mobile phones sold by the company P in the month of Jan and May together
= > 75000*(15/100)*(4/9) + 75000*(20/100)*(11/15)
= > 5000 + 11000 = 16000
The total number of mobile phones sold in the month of June
= > 75000*(11/100)
= > 8250
Required ratio = 16000: 8250 = 64: 33
Question 18 of 20
18. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of mobile phones sold by a shopkeeper during 6 different months and the table shows the ratio of mobile phones sold by the company A and B during the given six months.
If 32 % of mobile phones sold by the company P in the month of April were sold at a discount, then find the total number of mobile phones sold by the company P in the month of April was sold without discount?
Correct
Answer: a)
The total number of mobile phones sold without discount by the company P in the month of April,
= > 75000*(24/100)*(2/5)*(68/100)
= > 4896
Incorrect
Answer: a)
The total number of mobile phones sold without discount by the company P in the month of April,
= > 75000*(24/100)*(2/5)*(68/100)
= > 4896
Question 19 of 20
19. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of mobile phones sold by a shopkeeper during 6 different months and the table shows the ratio of mobile phones sold by the company A and B during the given six months.
Find the total number of mobile phones sold by the company Q in the month of Jan, Mar and May together?
Correct
Answer: c)
The total number of mobile phones sold by the company Q in the month of Jan, Mar and May together
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of mobile phones sold by a shopkeeper during 6 different months and the table shows the ratio of mobile phones sold by the company A and B during the given six months.
Total number of mobile phones sold in the month of Jan and May together is approximately what percentage more/less than the total number of mobile phones sold in the month of Apr?
Correct
Answer: b)
Total number of mobile phones sold in the month of Jan and May together
= > 75000*(35/100)
Total number of mobile phones sold in the month of Apr
11) A and B entered into a partnership and invested an amount of Rs. 60000 and 40000 respectively. After 5 months, A withdraws 2/3 of the capital and at the same time B invested 5000 more. And after 3 months, C entered into a partnership with an investment of 35000. Find the share of B, if the total profit at the end of the year is Rs. 98550?
a) Rs. 38560
b) Rs. 32740
c) Rs. 46350
d) Rs. 40120
e) None of these
12) The radius of the circle is equal to seven-ninth of the side of the square. The area of the square is 1296 sq cm. Find the perimeter of a circle?
a) 176 cm
b) 194 cm
c) 152 cm
d) 148 cm
e) None of these
13) After 4 years, the age of the mother is 2 times the present age of son. The sum of ages of mother and son, after 4 years is 94 years. Find the age of Mother, after 4 years?
a) 64 years
b) 70 years
c) 56 years
d) 60 years
e) None of these
14) A contractor undertook to do a piece of work in 56 days with the help of 150 men. After 36 days, he found that three-fifth of the work was already completed. How many men can be included to finish the work on time?
a) 26 men
b) 30 men
c) 34 men
d) 38 men
e) None of these
15) 150 m long train crosses a pole in 8 sec and the same train crosses a bridge in 12 sec. Find the length of the bridge?
a) 75 m
b) 90 m
c) 120 m
d) 100 m
e) None of these
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of mobile phones sold by a shopkeeper during 6 different months and the table shows the ratio of mobile phones sold by the company A and B during the given six months.
16) Find the difference between the total number of mobile phones sold by the company P in the month of Feb and Mar together to that of total number of mobile phones sold by the company Q in the month of Jan and Apr together?
a) 5280
b) 4750
c) 5860
d) 3140
e) None of these
17) Find the ratio between the total number of mobile phones sold by the company P in the month of Jan and May together to that of total number of mobile phones sold in the month of June?
a) 52: 21
b) 43: 27
c) 37: 13
d) 64: 33
e) None of these
18) If 32 % of mobile phones sold by the company P in the month of April were sold at a discount, then find the total number of mobile phones sold by the company P in the month of April was sold without discount?
a) 4896
b) 5178
c) 5362
d) 4380
e) None of these
19) Find the total number of mobile phones sold by the company Q in the month of Jan, Mar and May together?
a) 19780
b) 21560
c) 17450
d) 24330
e) None of these
20) Total number of mobile phones sold in the month of Jan and May together is approximately what percentage more/less than the total number of mobile phones sold in the month of Apr?
a) 65 %
b) 50 %
c) 75 %
d) 90 %
e) 40 %
Answers:
1) Answer: e)
I.2x^{2} + 25x + 57 = 0
2x^{2} + 6x + 19x + 57 = 0
2x(x + 3) + 19(x + 3) = 0
(2x + 19) (x + 3) = 0
X = -19/2, -3 = -9.5, -3
II. 3y^{2} + 21y + 36 = 0
3y^{2} + 12y + 9y + 36 = 0
3y (y + 4) + 9(y + 4) = 0
(3y + 9) (y + 4) = 0
Y = -3, -4
Can’t be determined
2) Answer: c)
I. √196 x + √7056 = 0
14x + 84 = 0
14x = -84
X = – 6
II. (1296)^{1/4 }y + ∛13824 = 0
(6^{4})^{1/4} + 24 = 0
6y + 24 = 0
6y = -24
Y = -4
X < y
3) Answer: b)
I. x^{2} – 8x – 48 = 0
(x – 12) (x + 4) = 0
X = 12, -4
II. y^{2} + 10y + 24 = 0
(y + 6) (y + 4) = 0
Y = -6, -4
x ≥ y
4) Answer: c)
6x – 5y = -15 —> (1)
2x – 3y = -1 —-> (2)
By solving the equation (1) and (2), we get,
X = -5, y = -3
X < y
5) Answer: e)
I. 5x^{2} + 29x + 42 = 0
5x^{2} + 15x + 14x + 42 = 0
5x(x + 3) + 14 (x + 3) = 0
(5x + 14) (x + 3) = 0
X = -14/5, -3 = -2.8, -3
II. 4y^{2} + 23y + 33 = 0
4y^{2} + 12y + 11y + 33 = 0
4y(y + 3) + 11 (y + 3) = 0
(4y + 11) (y + 3) = 0
Y = -11/4, -3 = -2.75, -3
Can’t be determined
Direction (6-10)
6) Answer: a)
x % of 700 – 24 % of 1550 – (11/17) * (34/18) * 72 = 30