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Directions (1 – 5): What approximate value should come in the place of question mark (?) in the following questions?
(672.67 + 1157.32 – 516.72) ÷ 24.65 =?
Correct
Answer: b)
(673 + 1157 – 517) ÷ 25 = x
X = 1313 / 25 = 53
Incorrect
Answer: b)
(673 + 1157 – 517) ÷ 25 = x
X = 1313 / 25 = 53
Question 5 of 20
5. Question
Directions (1 – 5): What approximate value should come in the place of question mark (?) in the following questions?
(√575 × 23) ÷ 15 =? × 16
Correct
Answer: e)
(√576 × 23) ÷ 15 = 16x
(24*23)/15 = 16x
X = (24*23)/(15*16)
X = 23/10 = 2.3
X = 2
Incorrect
Answer: e)
(√576 × 23) ÷ 15 = 16x
(24*23)/15 = 16x
X = (24*23)/(15*16)
X = 23/10 = 2.3
X = 2
Question 6 of 20
6. Question
Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
3x – 5y = 8
5x – 2y = -12
Correct
Answer: e)
3x – 5y = 8 —> (1)
5x – 2y = -12 —> (2)
X = -4, y = -4
X = y
Incorrect
Answer: e)
3x – 5y = 8 —> (1)
5x – 2y = -12 —> (2)
X = -4, y = -4
X = y
Question 7 of 20
7. Question
Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
5x^{2} – 30x + 45 = 0
4y^{2} + 15y – 54 = 0
Correct
Answer: a)
I. 5x^{2} – 30x + 45 = 0
5x^{2} – 15x – 15x + 45 = 0
5x(x – 3) -15(x – 3) = 0
(5x – 15) (x – 3) = 0
X = 15/5, 3 = 3, 3
II. 4y^{2} + 15y – 54 = 0
4y^{2} + 24y – 9y – 54 = 0
4y(y + 6) – 9(y + 6) = 0
(4y – 9) (y + 6) = 0
Y = 9/4, -6 = 2.25, -6
X > y
Incorrect
Answer: a)
I. 5x^{2} – 30x + 45 = 0
5x^{2} – 15x – 15x + 45 = 0
5x(x – 3) -15(x – 3) = 0
(5x – 15) (x – 3) = 0
X = 15/5, 3 = 3, 3
II. 4y^{2} + 15y – 54 = 0
4y^{2} + 24y – 9y – 54 = 0
4y(y + 6) – 9(y + 6) = 0
(4y – 9) (y + 6) = 0
Y = 9/4, -6 = 2.25, -6
X > y
Question 8 of 20
8. Question
Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
15x^{2} + 29x + 12 = 0
20y^{2} + 49x + 30 = 0
Correct
Answer: e)
I. 15x^{2} + 29x + 12 = 0
15x^{2} + 20x + 9x + 12 = 0
5x(3x + 4) + 3(3x + 4) = 0
(5x + 3) (3x + 4) = 0
X = -3/5, -4/3 = -0.6, -1.33
II. 20y^{2} + 49y + 30 = 0
20y^{2} + 25y + 24y + 30 = 0
5y(4y + 5) + 6(4y + 5) = 0
(5y + 6) (4y + 5) = 0
Y = -6/5, -5/4 = -1.2, -1.25
Can’t be determined
Incorrect
Answer: e)
I. 15x^{2} + 29x + 12 = 0
15x^{2} + 20x + 9x + 12 = 0
5x(3x + 4) + 3(3x + 4) = 0
(5x + 3) (3x + 4) = 0
X = -3/5, -4/3 = -0.6, -1.33
II. 20y^{2} + 49y + 30 = 0
20y^{2} + 25y + 24y + 30 = 0
5y(4y + 5) + 6(4y + 5) = 0
(5y + 6) (4y + 5) = 0
Y = -6/5, -5/4 = -1.2, -1.25
Can’t be determined
Question 9 of 20
9. Question
Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
(62/x^{3/7}) – (13/x^{3/7}) = x^{11/7}
y^{3 }+ 629 = 972
Correct
Answer: d)
I. (62/x^{3/7}) – (13/x^{3/7}) = x^{11/7}
(62 – 13)/x^{3/7} = x^{11/7}
49 = x^{11/7 + 3/7}
49 = x^{14/7}
X^{2} = 49
X = -7, 7
II. y^{3 }+ 629 = 972
Y^{3} = 972 – 629
Y^{3} = 343
Y = 7
x ≤ y
Incorrect
Answer: d)
I. (62/x^{3/7}) – (13/x^{3/7}) = x^{11/7}
(62 – 13)/x^{3/7} = x^{11/7}
49 = x^{11/7 + 3/7}
49 = x^{14/7}
X^{2} = 49
X = -7, 7
II. y^{3 }+ 629 = 972
Y^{3} = 972 – 629
Y^{3} = 343
Y = 7
x ≤ y
Question 10 of 20
10. Question
Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
5√2x^{2} + x – 3√2 = 0
8y^{2} + 10y – 7 = 0
Correct
Answer: e)
I. 5√2x^{2} + x – 3√2 = 0
5√2x^{2} – 5x + 6x – 3√2 = 0
5x (√2x – 1) + 3√2 (√2x – 1) = 0
(5x + 3√2) (√2x – 1) = 0
X = -3√2/5, 1/√2 = -0.84, 0.707
II. 8y^{2} + 10y – 7 = 0
8y^{2} – 4y + 14y – 7 = 0
4y (2y – 1) + 7(2y – 1) = 0
(4y + 7) (2y – 1) = 0
Y = -7/4, ½ = -1.75, 0.5
Can’t be determined
Incorrect
Answer: e)
I. 5√2x^{2} + x – 3√2 = 0
5√2x^{2} – 5x + 6x – 3√2 = 0
5x (√2x – 1) + 3√2 (√2x – 1) = 0
(5x + 3√2) (√2x – 1) = 0
X = -3√2/5, 1/√2 = -0.84, 0.707
II. 8y^{2} + 10y – 7 = 0
8y^{2} – 4y + 14y – 7 = 0
4y (2y – 1) + 7(2y – 1) = 0
(4y + 7) (2y – 1) = 0
Y = -7/4, ½ = -1.75, 0.5
Can’t be determined
Question 11 of 20
11. Question
Two stations A and B are 180 km apart on a straight line. One train starts from A at 8 a.m. and travels towards B at 30 km/hr. Another train starts from B at 9 a.m. and travels towards A at a speed of 45 km/hr. At what time will they meet?
Correct
Answer: b)
They meet x hours after 8 a.m.
Distance covered by A in x hours = 30x km
Distance covered by B in (x – 1) hours = 45(x – 1) km
30x + 45(x – 1) = 180
30x + 45x = 180 + 45
75x = 225
X = 3
They meet at 11 a.m.
Incorrect
Answer: b)
They meet x hours after 8 a.m.
Distance covered by A in x hours = 30x km
Distance covered by B in (x – 1) hours = 45(x – 1) km
30x + 45(x – 1) = 180
30x + 45x = 180 + 45
75x = 225
X = 3
They meet at 11 a.m.
Question 12 of 20
12. Question
Difference between Simple interest and Compound interest on a certain sum at the rate of 12% per annum for two years is Rs. 432. Find the compound interest on that sum at the rate of 5% per annum after 2 years?
Correct
Answer: d)
The difference between CI and SI for two years is,
Diff = P*(r/100)^{2}
=> 432 = P*(12/100)^{2}
=> 432 = P*(3/25)^{2}
=> 432 = P*(9/625)
=> P = Rs. 30000
Compound Interest:
30000*(5/100) = 1500
31500*(5/100) = 1575
C.I = 1500 + 1575 = Rs. 3075
Incorrect
Answer: d)
The difference between CI and SI for two years is,
Diff = P*(r/100)^{2}
=> 432 = P*(12/100)^{2}
=> 432 = P*(3/25)^{2}
=> 432 = P*(9/625)
=> P = Rs. 30000
Compound Interest:
30000*(5/100) = 1500
31500*(5/100) = 1575
C.I = 1500 + 1575 = Rs. 3075
Question 13 of 20
13. Question
A shopkeeper sells an item at a profit of 25%. If he reduces the price of the item by Rs. 700, he incurs a loss of 10%. What is the cost price of the item?
Correct
Answer: a)
Let the cost price of the item be x
So,
125 % of x – 90 % 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: a)
Let the cost price of the item be x
So,
125 % of x – 90 % of x = 700
35 % of x = 700
35x/100 = 700
x = (700*100)/35
x = 2000
Cost price of the item = Rs. 2000
Question 14 of 20
14. Question
Mahesh scored 424 marks in an exam and Sanjay got 72 % marks in the same exam which is 8 marks more than Mahesh. If the minimum passing marks in the exam is 35 percent, then how much more marks did Mahesh score than the minimum passing marks?
Mahesh scored 214 marks more than the passing marks.
Question 15 of 20
15. Question
A and B invest in a business in the ratio of 4: 9. If 12.5 % of the total profit goes to Charity and A’s share is 28700, then 72 ½ % of total profit is?
Correct
Answer: d)
A and B invest in a business in the ratio of 4 : 9
=>A : B = 4 : 9
A’s share = 4’s = 28700
=>1’s = 28700/4 = Rs. 7175
Total Share (A+B) = 13’s = 7175*13 = 93275
87.5% of the profit = 93275
(87.5/100)* Total Profit = 93275
Total Profit = 93275*(100/87.5) = Rs. 106600
72 ½ % of total profit is,
= > (145/200)*106600 = Rs. 77285
Incorrect
Answer: d)
A and B invest in a business in the ratio of 4 : 9
=>A : B = 4 : 9
A’s share = 4’s = 28700
=>1’s = 28700/4 = Rs. 7175
Total Share (A+B) = 13’s = 7175*13 = 93275
87.5% of the profit = 93275
(87.5/100)* Total Profit = 93275
Total Profit = 93275*(100/87.5) = Rs. 106600
72 ½ % of total profit is,
= > (145/200)*106600 = Rs. 77285
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 production of cars from five different companies and the table shows the ratio of model 1 and model 2 cars produced by them and the percentage distribution sold cars among them.
Find the total number of Model 2 cars sold by the company C?
Correct
Answer: b)
Total number of cars produced by the company C
= > 90000*(18/100) = 16200
Total number of model 2 cars produced by the company C
= > 16200*(4/9) = 7200
Total number of Model 2 cars sold by the company C
= > 7200*(66/100) = 4752
Incorrect
Answer: b)
Total number of cars produced by the company C
= > 90000*(18/100) = 16200
Total number of model 2 cars produced by the company C
= > 16200*(4/9) = 7200
Total number of Model 2 cars sold by the company C
= > 7200*(66/100) = 4752
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 production of cars from five different companies and the table shows the ratio of model 1 and model 2 cars produced by them and the percentage distribution sold cars among them.
Find the difference between the total number of model 1 cars sold by the company A to that of company D?
Correct
Answer: d)
The total number of model 1 cars sold by the company A
= > 90000*(15/100)*(4/9)*(78/100)
= > 4680
The total number of model 1 cars sold by the company D
= > 90000*(24/100)*(1/3)*(82/100)
= > 5904
Required difference = 5904 – 4680 = 1224
Incorrect
Answer: d)
The total number of model 1 cars sold by the company A
= > 90000*(15/100)*(4/9)*(78/100)
= > 4680
The total number of model 1 cars sold by the company D
= > 90000*(24/100)*(1/3)*(82/100)
= > 5904
Required difference = 5904 – 4680 = 1224
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 production of cars from five different companies and the table shows the ratio of model 1 and model 2 cars produced by them and the percentage distribution sold cars among them.
Find the average number of model 2 cars produced by the companies B, C and D together?
Correct
Answer: c)
The total number of model 2 cars produced by the companies B, C and D together
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total production of cars from five different companies and the table shows the ratio of model 1 and model 2 cars produced by them and the percentage distribution sold cars among them.
Find the ratio between the total number of model 1 cars sold by the company E to that of total number of model 2 cars sold by the company B?
Correct
Answer: a)
The total number of model 1 cars sold by the company E
= > 90000*(21/100)*(3/5)*(90/100)
= > 10206
The total number of model 2 cars sold by the company B
= > 90000*(22/100)*(3/10)*(70/100)
= > 4158
Required ratio = 10206: 4158 = 189: 77
Incorrect
Answer: a)
The total number of model 1 cars sold by the company E
= > 90000*(21/100)*(3/5)*(90/100)
= > 10206
The total number of model 2 cars sold by the company B
= > 90000*(22/100)*(3/10)*(70/100)
= > 4158
Required ratio = 10206: 4158 = 189: 77
Question 20 of 20
20. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total production of cars from five different companies and the table shows the ratio of model 1 and model 2 cars produced by them and the percentage distribution sold cars among them.
Total number of cars produced by the company A is approximately what percentage of total number of cars produced by the company C?
Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
6) I. 3x – 5y = 8
II. 5x – 2y = -12
7) I. 5x^{2} – 30x + 45 = 0
II. 4y^{2} + 15y – 54 = 0
8) I. 15x^{2} + 29x + 12 = 0
II. 20y^{2} + 49x + 30 = 0
9) I. (62/x^{3/7}) – (13/x^{3/7}) = x^{11/7}
II. y^{3 }+ 629 = 972
10) I. 5√2x^{2} + x – 3√2 = 0
II. 8y^{2} + 10y – 7 = 0
11) Two stations A and B are 180 km apart on a straight line. One train starts from A at 8 a.m. and travels towards B at 30 km/hr. Another train starts from B at 9 a.m. and travels towards A at a speed of 45 km/hr. At what time will they meet?
a) 10 a.m.
b) 11 a.m.
c) 11.30 a.m.
d) 12 a.m.
e) None of these
12) Difference between Simple interest and Compound interest on a certain sum at the rate of 12% per annum for two years is Rs. 432. Find the compound interest on that sum at the rate of 5% per annum after 2 years?
a) Rs. 3125
b) Rs. 3050
c) Rs. 3150
d) Rs. 3075
e) None of these
13) A shopkeeper sells an item at a profit of 25%. If he reduces the price of the item by Rs. 700, he incurs a loss of 10%. What is the cost price of the item?
a) Rs. 2000
b) Rs. 2500
c) Rs. 2750
d) Rs. 1500
e) None of these
14) Mahesh scored 424 marks in an exam and Sanjay got 72 % marks in the same exam which is 8 marks more than Mahesh. If the minimum passing marks in the exam is 35 percent, then how much more marks did Mahesh score than the minimum passing marks?
a) 185
b) 172
c) 214
d) 196
e) 223
15) A and B invest in a business in the ratio of 4: 9. If 12.5 % of the total profit goes to Charity and A’s share is 28700, then 72 ½ % of total profit is?
a) Rs. 75248
b) Rs. 71456
c) Rs. 73853
d) Rs. 77285
e) None of these
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following pie chart shows the total production of cars from five different companies and the table shows the ratio of model 1 and model 2 cars produced by them and the percentage distribution sold cars among them.
Company
(Production)
Model 1 car : Model 2 car
Sold % of Model 1 cars
Sold % of Model 2 cars
A
4 : 5
78 %
76 %
B
7 : 3
75 %
70 %
C
5 : 4
65 %
66 %
D
1 : 2
82 %
74 %
E
3 : 2
90 %
88 %
16) Find the total number of Model 2 cars sold by the company C?
a) 5124
b) 4752
c) 5378
d) 4596
e) None of these
17) Find the difference between the total number of model 1 cars sold by the company A to that of company D?
a) 1578
b) 1696
c) 1450
d) 1224
e) None of these
18) Find the average number of model 2 cars produced by the companies B, C and D together?
a) 8850
b) 8320
c) 9180
d) 8540
e) None of these
19) Find the ratio between the total number of model 1 cars sold by the company E to that of total number of model 2 cars sold by the company B?
a) 189: 77
b) 215: 59
c) 91: 24
d) 33: 10
e) None of these
20) Total number of cars produced by the company A is approximately what percentage of total number of cars produced by the company C?