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Arithmetic Mock Test 2
Exam Duration:
00:51:00
Arithmetic Mock Test 2
: Question
1
of 57
The number of all rhythms of short and long syllables having 9 beats is
1 Mark(s)
Your Answer:
A) 34
A) 34
B) 21
B) 21
C) 55
C) 55
D) 13
D) 13
Cost of one kg of sugar is ₹46 and cost of 100 gram of tea is ₹54. The expression for x kg of sugar and y hundred grams of tea is:
1 Mark(s)
Your Answer:
A) 46 x+\(\frac{54}{100}\)
A) 46 x+\(\frac{54}{100}\)
B) \(\frac{46}{100}\) x+54 y
B) \(\frac{46}{100}\) x+54 y
C) 46 x+54 y
C) 46 x+54 y
D) \(\frac{46}{100} x+\frac{54}{100} y\)
D) \(\frac{46}{100} x+\frac{54}{100} y\)
The water in a rectangular reservoir having a base 80m by 60m is 6.5m deep.In what time can the water be amplified by a pipe of which the cross section is a square of a side 20cm if the water runs through the pipe at the rate of 15km per hour?
1 Mark(s)
Your Answer:
26hours
26hours
42hours
42hours
52hours
52hours
65hours
65hours
The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
1 Mark(s)
Your Answer:
Rs.12000
Rs.12000
Rs.14200
Rs.14200
Rs.17520
Rs.17520
Rs.13500
Rs.13500
A sum of money at compound interest amounts to $₹6655$ in \$3$ years and $₹7986$ in \$4$ years. Find the rate of interest.
1 Mark(s)
Your Answer:
0.15
0.15
0.18
0.18
0.22
0.22
0.2
0.2
A man can row at 5 km/hr in still water, if the river is running at 1 km/hr it takes him 75 minutes to row to a place and back. How far is the place?
1 Mark(s)
Your Answer:
2.5km
2.5km
3km
3km
4 km
4 km
5 km
5 km
The cube of 24 is
1 Mark(s)
Your Answer:
A) 12167
A) 12167
B) 15625
B) 15625
C) 13824
C) 13824
D) 10648
D) 10648
Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?
1 Mark(s)
Your Answer:
3/5
3/5
1/2
1/2
1/4
1/4
2/7
2/7
The area of a rhombus in 2016 Sq.cm and its side is 65cm. The length of its diagonals are________?
1 Mark(s)
Your Answer:
125cm, 35cm
125cm, 35cm
126cm,32cm
126cm,32cm
132cm,26cm
132cm,26cm
135cm,25cm
135cm,25cm
A frequency polygon is a many sided:
1 Mark(s)
Your Answer:
rectangle
rectangle
triangle
triangle
histogram
histogram
closed figure
closed figure
Which of the following represents \(\frac{1}{3}\) of \(\frac{1}{6}\) ?
1 Mark(s)
Your Answer:
A) \(\frac{1}{3}\) + \(\frac{1}{6}\)
A) \(\frac{1}{3}\) + \(\frac{1}{6}\)
B) \(\frac{1}{3}\) – \(\frac{1}{6}\)
B) \(\frac{1}{3}\) – \(\frac{1}{6}\)
C) \(\frac{1}{3}\) × \(\frac{1}{6}\)
C) \(\frac{1}{3}\) × \(\frac{1}{6}\)
D) \(\frac{1}{3}\) + \(\frac{1}{6}\) (\frac{1}{3}\) × \(\frac{1}{6}\)
D) \(\frac{1}{3}\) + \(\frac{1}{6}\) (\frac{1}{3}\) × \(\frac{1}{6}\)
7 th term of the Virahanka – Fibonacci sequence is
1 Mark(s)
Your Answer:
A) 34
A) 34
B) 21
B) 21
C) 55
C) 55
D) 13
D) 13
In the following figure, ∠A = 20° and ∠B = 20°, then ∠ACD is equal to
1 Mark(s)
Your Answer:
A) 30°
A) 30°
B) 40°
B) 40°
C) 60°
C) 60°
D) 80°
D) 80°
A straight line which touches the circumference of a circle at a single point only is known as:
1 Mark(s)
Your Answer:
secant
secant
sector
sector
tangent
tangent
segment
segment
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
1 Mark(s)
Your Answer:
4000
4000
2160
2160
4320
4320
5300
5300
The product of \$11$ and \$6$ is:
1 Mark(s)
Your Answer:
60
60
64
64
66
66
72
72
In a △ABC, if ∠A = 60° and ∠B = 30°, then the exterior angle formed by producing B C is equal to
1 Mark(s)
Your Answer:
A) 180°
A) 180°
B) 99°
B) 99°
C) 90°
C) 90°
D) 105°
D) 105°
A train \$150$ m long passes a pole in \$15$ seconds. Find its speed in km/h.
1 Mark(s)
Your Answer:
32 km/h
32 km/h
36 km/h
36 km/h
40 km/h
40 km/h
42 km/h
42 km/h
The sum of \$62$ and \$38$ is:
1 Mark(s)
Your Answer:
95
95
98
98
102
102
100
100
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is________?
1 Mark(s)
Your Answer:
Rs. 2.50
Rs. 2.50
Rs. 3
Rs. 3
Rs. 3.75
Rs. 3.75
Rs. 4
Rs. 4
A man buys milk at a certain rate per liter and after adding water to it sells the mixture at the same rate. Find in what ration he much mix water to milk so as to gain 20% on his outlay?
1 Mark(s)
Your Answer:
1:5
1:5
1:20
1:20
2:5
2:5
1:6
1:6
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
1 Mark(s)
Your Answer:
8.2
8.2
4.2
4.2
6.1
6.1
7.2
7.2
The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is_________??
1 Mark(s)
Your Answer:
Rs. 3096
Rs. 3096
Rs. 4076
Rs. 4076
Rs. 4085
Rs. 4085
Rs. 4096
Rs. 4096
A sum of money becomes Rs.6690 after three years and Rs.10.035 after six years on compound interest. The sum is________?
1 Mark(s)
Your Answer:
Rs.4400
Rs.4400
Rs.4445
Rs.4445
Rs.4460
Rs.4460
Rs.4520
Rs.4520
24 – [2.4 – {0.24 * 2 – (0.024 – ?)}] = 22.0584
1 Mark(s)
Your Answer:
0.0024
0.0024
0.024
0.024
0.24
0.24
0.00024
0.00024
The radius of a circle is increased by \$50\%$. Find the percentage increase in area.
1 Mark(s)
Your Answer:
1
1
1.2
1.2
1.25
1.25
1.5
1.5
The mean of the squared deviations of some observations from their arithmetic mean is called:
1 Mark(s)
Your Answer:
standard deviation
standard deviation
variation
variation
median
median
mode
mode
(6 – 2 * 3 + 6) / (2 + 6 * 3 – 4) = _____________?
1 Mark(s)
Your Answer:
9/8
9/8
3/10
3/10
3/5
3/5
3/8
3/8
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
1 Mark(s)
Your Answer:
720
720
144
144
120
120
36
36
In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?
1 Mark(s)
Your Answer:
40
40
50
50
30
30
56
56
Rayyan purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a________?
1 Mark(s)
Your Answer:
loss of Rs. 200
loss of Rs. 200
loss of Rs. 100
loss of Rs. 100
profit of Rs. 100
profit of Rs. 100
profit of Rs. 200
profit of Rs. 200
None of these
None of these
If selling price of jewelry is $450 and is marked down by 18% in clearance sale and marked down by 8% further. It was not sold and then marked down further to price 60% off the original selling price then the final selling price of jewelry set is:
1 Mark(s)
Your Answer:
$180
$180
$190
$190
$210
$210
$230
$230
Which pair of number is coprime?
1 Mark(s)
Your Answer:
A) 4 and 6
A) 4 and 6
B) 9 and 12
B) 9 and 12
C) 8 and 15
C) 8 and 15
D) 12 and 18
D) 12 and 18
Assertion (A) In the pattern 2, 4, 6, 8,10, each number is 2 more than the previous number. Reason (R) This pattern represents an arithmetic sequence where the common difference is constant.
1 Mark(s)
Your Answer:
A) Both A and R are true and R is the correct explanation of A.
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
C) A is true but R is false.
C) A is true but R is false.
D) A is false but R is true. Fill in the blanks: 1. Smallest 4-digit number formed by the digits 3, 0, 4,1 is ____ Answer: 1034 2. Greatest 4-digit number formed by the digits 0, 8,1, 9 is ____ Answer: 9810 3. I am the greatest number made from digit 7,1, 8, 3. Answer: 8731 4. I am the smallest number made from digit 3, 9, 0, 1. ____ Answer: 1039 5. Smallest 4-digit even number is ____ Answer: 1000 6. Largest 4-digit even number is ____ Answer: 9998 7. In the number 4321, the digit 3 is ____________ in the place. Answer: hundreds 8. The magic number of Kaprekar is ____________. Answer: 6174 9. Total number of two-digit numbers are ____________. Answer: 90 10. The digits of number 950 adds upto ____________. Answer: 14 11. The number 323 is a ____________ number. Answer: Palindrome 12. Total number of five digit numbers are ____________. Answer: 90000 13. The difference between 8000 and 2345 is ____________ Answer: 5655 14. When you add 1000 to 4567, the result is ____________. Answer: 5567 15. If you reverse the digits of the number 2332, then you still get ____________. Answer: 2332 State True/False: 1. The largest if-digit telephone number that can be formed by using digits 5, 3, .4, 7, 0, 8 only once is 875403. Answer: False. The largest six-digit telephone number that can be formed by using digits 5,3,4,7,0,8 only once is 875430. 2. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760. Answer: True. 3. The numbers 4578, 4587, 5478, 5487 are in descending order. Answer: False. In the question, the arrangement of the numbers in ascending order. Descending order of the given number = 5487, 5478, 4587,4578. 4. 8439 is an odd number. Answer: True 5. 2787 is an even number. Answer: False 6. The Kaprekar constant is 7164. Answer: False 7. The number 1221 is a palindrome number. Answer: True 8. The difference of 98500 and 26580 gives a four digit number. Answer: False 9. The sum of 56560 and 3228 gives a five digit number. Answer: True 10. If you reverse the digits of the number 6776, you get 6776. Answer: True 11. Total number of four digit numbers are 900. Answer: False 12. The sum of digits of 672 and 564 is different. Answer: False Match the Following
D) A is false but R is true. Fill in the blanks: 1. Smallest 4-digit number formed by the digits 3, 0, 4,1 is ____ Answer: 1034 2. Greatest 4-digit number formed by the digits 0, 8,1, 9 is ____ Answer: 9810 3. I am the greatest number made from digit 7,1, 8, 3. Answer: 8731 4. I am the smallest number made from digit 3, 9, 0, 1. ____ Answer: 1039 5. Smallest 4-digit even number is ____ Answer: 1000 6. Largest 4-digit even number is ____ Answer: 9998 7. In the number 4321, the digit 3 is ____________ in the place. Answer: hundreds 8. The magic number of Kaprekar is ____________. Answer: 6174 9. Total number of two-digit numbers are ____________. Answer: 90 10. The digits of number 950 adds upto ____________. Answer: 14 11. The number 323 is a ____________ number. Answer: Palindrome 12. Total number of five digit numbers are ____________. Answer: 90000 13. The difference between 8000 and 2345 is ____________ Answer: 5655 14. When you add 1000 to 4567, the result is ____________. Answer: 5567 15. If you reverse the digits of the number 2332, then you still get ____________. Answer: 2332 State True/False: 1. The largest if-digit telephone number that can be formed by using digits 5, 3, .4, 7, 0, 8 only once is 875403. Answer: False. The largest six-digit telephone number that can be formed by using digits 5,3,4,7,0,8 only once is 875430. 2. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760. Answer: True. 3. The numbers 4578, 4587, 5478, 5487 are in descending order. Answer: False. In the question, the arrangement of the numbers in ascending order. Descending order of the given number = 5487, 5478, 4587,4578. 4. 8439 is an odd number. Answer: True 5. 2787 is an even number. Answer: False 6. The Kaprekar constant is 7164. Answer: False 7. The number 1221 is a palindrome number. Answer: True 8. The difference of 98500 and 26580 gives a four digit number. Answer: False 9. The sum of 56560 and 3228 gives a five digit number. Answer: True 10. If you reverse the digits of the number 6776, you get 6776. Answer: True 11. Total number of four digit numbers are 900. Answer: False 12. The sum of digits of 672 and 564 is different. Answer: False Match the Following
If $x = \sqrt{5+2\sqrt{6}}$, find $x^2 - \frac{1}{x^2}$
1 Mark(s)
Your Answer:
$2\sqrt{6}$
$2\sqrt{6}$
$3\sqrt{6}$
$3\sqrt{6}$
$4\sqrt{6}$
$4\sqrt{6}$
$5\sqrt{6}$
$5\sqrt{6}$
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
1 Mark(s)
Your Answer:
25 hrs
25 hrs
28 hrs
28 hrs
20 hrs
20 hrs
35 hrs
35 hrs
0.7499 lies between
1 Mark(s)
Your Answer:
A) 0.7 and 0.74
A) 0.7 and 0.74
B) 0.75 and 0.79
B) 0.75 and 0.79
C) 0.749 and 0.75
C) 0.749 and 0.75
D) 0.74992 and 0.75 749 and 0.75
D) 0.74992 and 0.75 749 and 0.75
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
1 Mark(s)
Your Answer:
5
5
6
6
7
7
8
8
Find the annual income derived from Rs. 2500, 8% stock at 106.
1 Mark(s)
Your Answer:
100
100
150
150
200
200
250
250
Let A = R – {3}, B = R – {1}. Let f : A → B be defined by \(f(x)=\frac{x-2}{x-3}\). Then,
1 Mark(s)
Your Answer:
A) f is bijective
A) f is bijective
B) f is one-one but not onto
B) f is one-one but not onto
C) f is onto but not one-one
C) f is onto but not one-one
D) None of these
D) None of these
What will be the value of 2cos2 θ - 1, if cos4 θ - sin4 θ = 2/3?
1 Mark(s)
Your Answer:
1
1
2
2
3/2
3/2
2/3
2/3
By rotating a ray from one position to another to make an angle, the final position is called:
1 Mark(s)
Your Answer:
vertex
vertex
initial side
initial side
terminal side
terminal side
point of intersection
point of intersection
By investing Rs. 1620 in 8% stock, Maria earns Rs. 135. The stock is then quoted at:_________?
1 Mark(s)
Your Answer:
80
80
96
96
106
106
108
108
If $x + 21 = 60$, find $x$
1 Mark(s)
Your Answer:
37
37
38
38
39
39
40
40
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
1 Mark(s)
Your Answer:
20/6 hours
20/6 hours
27/2 hours
27/2 hours
30 hours
30 hours
30/13 hours
30/13 hours
The value of the determinant \(\left|\begin{array}{ccc} \alpha & \beta & \gamma \\ \alpha^{2} & \beta^{2} & \gamma^{2} \\ \beta+\gamma & \gamma+\alpha & \alpha+\beta \end{array}\right|=\)
1 Mark(s)
Your Answer:
A) (α + β)(β + γ)(γ + α)
A) (α + β)(β + γ)(γ + α)
B) (α – β)(β – γ)(γ – α)(α + β + γ)
B) (α – β)(β – γ)(γ – α)(α + β + γ)
C) (α + β + γ) 2 (α – β – γ) 2
C) (α + β + γ) 2 (α – β – γ) 2
D) αβγ (α + β + γ) (α – β)(β – γ)(γ – α)(α + β + γ)
D) αβγ (α + β + γ) (α – β)(β – γ)(γ – α)(α + β + γ)
The increase in 37 x 43 when 37 is increased by 1 and 43 is decreased by 1 is
1 Mark(s)
Your Answer:
A) 4
A) 4
B) 79
B) 79
C) 5
C) 5
D) 78
D) 78
The length and breadth of a rectangle are in the ratio 3 : 2. If its area is 150 cm 2 , find its length.
1 Mark(s)
Your Answer:
A) 15 cm
A) 15 cm
B) 18 cm
B) 18 cm
C) 20 cm
C) 20 cm
D) 25 cm
D) 25 cm
By converting 0.8m³ into cm³, the answer will be:
1 Mark(s)
Your Answer:
800000cm³
800000cm³
80000cm³
80000cm³
8000cm³
8000cm³
800cm³
800cm³
Jameel can complete a task in 15 hours and Nasir can complete the same task in 12 hours. Jameel starts the task at 9:00 am and stops working at 2:00pm. Nasir starts working on the task at 4:00 pm. At what time is the task completed?
1 Mark(s)
Your Answer:
12:00 pm
12:00 pm
2:00 am
2:00 am
12:00 am
12:00 am
10:00 pm
10:00 pm
The ratio of 65 minutes of 104 minutes is
1 Mark(s)
Your Answer:
A) 8 : 5
A) 8 : 5
B) 3 : 2
B) 3 : 2
C) 5 : 8
C) 5 : 8
D) 2 : 3
D) 2 : 3
I. 9a2 + 18a + 5 = 0, II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?
1 Mark(s)
Your Answer:
If a > b
If a > b
If a ≥ b
If a ≥ b
If a < b
If a < b
If a ≤ b
If a ≤ b
The number if increased by 35% becomes 200. The original number was:
1 Mark(s)
Your Answer:
168
168
135
135
148
148
152
152
If a car is sold for Rs..50000 the profit is 17 percent, what would be profit percentage if sold for Rs. 47000?
1 Mark(s)
Your Answer:
14.85%
14.85%
9.98%
9.98%
16.20%
16.20%
14.50%
14.50%
The least number of four digits which is divisible by 4, 6, 8 and 10 is_________?
1 Mark(s)
Your Answer:
1080
1080
1085
1085
1075
1075
1095
1095
The sum of the squares of three consecutive positive numbers is 365. What will the sum of numbers?
1 Mark(s)
Your Answer:
36
36
33
33
45
45
None of the above
None of the above
A person buys a horse for $₹1200$ and sells it at a loss of \$20\%$. He buys another horse for $₹1500$ and sells it at a gain of \$25\%$. Find his overall profit or loss percentage.
1 Mark(s)
Your Answer:
0.05
0.05
0.06
0.06
0.07
0.07
0.08
0.08
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