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Arithmetic Mock Test 7
Exam Duration:
01:07:00
Arithmetic Mock Test 7
: Question
1
of 74
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
1 Mark(s)
Your Answer:
Rs. 5725
Rs. 5725
Rs. 5275
Rs. 5275
Rs. 6275
Rs. 6275
Rs. 6725
Rs. 6725
None of these
None of these
A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
1 Mark(s)
Your Answer:
12 liters
12 liters
10 liters
10 liters
4 liters
4 liters
2 liters
2 liters
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
1 Mark(s)
Your Answer:
200 sec
200 sec
190 sec
190 sec
210 sec
210 sec
150 sec
150 sec
What is the Sum of First 70 even Numbers?
1 Mark(s)
Your Answer:
4970
4970
4950
4950
4900
4900
4980
4980
Solve for x
2x:25 = 6:(x/3)
1 Mark(s)
Your Answer:
18
18
15
15
12
12
5
5
The value of 5π ⁄ 6 into degrees should be:
1 Mark(s)
Your Answer:
135°
135°
90°
90°
120°
120°
150°
150°
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
1 Mark(s)
Your Answer:
4:8
4:8
1:4
1:4
6:2
6:2
3:1
3:1
20% of 40 + ? % of 80 = 120
1 Mark(s)
Your Answer:
140
140
120
120
160
160
180
180
Which option given an equivalent fraction of
1 Mark(s)
Your Answer:
A) \(\frac{65}{50}\)
A) \(\frac{65}{50}\)
B) \(\frac{26}{75}\)
B) \(\frac{26}{75}\)
C) \(\frac{156}{300}\)
C) \(\frac{156}{300}\)
D) \(\frac{103}{205}\) (\frac{156}{300}\)
D) \(\frac{103}{205}\) (\frac{156}{300}\)
The maximum number of terms in a polynomial of degree 10 is:
1 Mark(s)
Your Answer:
A) 9
A) 9
B) 10
B) 10
C) 11
C) 11
D) 1
D) 1
By solving the equation a⁄4 + a⁄2 + a⁄6 = 5, the value of 'a' will be:
1 Mark(s)
Your Answer:
7 5⁄11
7 5⁄11
8 5⁄11
8 5⁄11
5 5⁄11
5 5⁄11
6 5⁄ 111
6 5⁄ 111
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
1 Mark(s)
Your Answer:
9 1/4 min
9 1/4 min
11 1/4 min
11 1/4 min
7 1/4 min
7 1/4 min
8 1/2 min
8 1/2 min
The longest chord in a circle is known as:
1 Mark(s)
Your Answer:
diameter
diameter
radius
radius
area
area
midpoint
midpoint
Assertion (A) If 575a is divisible by 11, then the value of a is 3. Reason (R) If the difference between the sum of the digits at odd places (from the right to left) and the sum of the digits at even places (from the right to left) of the number is either 0 or divisible by 11, then the number is divisible by 11.
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 false but R is true.
C) A is false but R is true.
D) A is true but R is false.
D) A is true but R is false.
If the sum and reciprocal of a number is equal to 2, the number is -
1 Mark(s)
Your Answer:
1
1
-1
-1
-2
-2
2
2
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
1 Mark(s)
Your Answer:
Rs. 14,000
Rs. 14,000
Rs. 12,000
Rs. 12,000
Rs. 30,000
Rs. 30,000
Rs. 40,000
Rs. 40,000
In matrices (AB)t equals to:
1 Mark(s)
Your Answer:
B
B
A
A
At Bt
At Bt
Bt At
Bt At
Which of the following has two end points?
1 Mark(s)
Your Answer:
A) Ray
A) Ray
B) Line
B) Line
C) Line segment
C) Line segment
D) None of these
D) None of these
The set consisting of all the second elements of each ordered pair in the relation is called:
1 Mark(s)
Your Answer:
domain of relation
domain of relation
range of relation
range of relation
subset
subset
complement of a set
complement of a set
A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?
1 Mark(s)
Your Answer:
12
12
48
48
36
36
42
42
Which of the following angles is the measure of an obtuse angle?
1 Mark(s)
Your Answer:
A) 60°
A) 60°
B) 120°
B) 120°
C) 90°
C) 90°
D) 30°
D) 30°
(+1) + (+2) =?
1 Mark(s)
Your Answer:
A) +1
A) +1
B) + 2
B) + 2
C) + 3
C) + 3
D) – 3
D) – 3
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
1 Mark(s)
Your Answer:
Rs. 1500
Rs. 1500
Rs. 1800
Rs. 1800
Rs. 2000
Rs. 2000
Rs. 2400
Rs. 2400
None of these
None of these
What sequence do we get when we start adding up Odd numbers? Competency Based Question
1 Mark(s)
Your Answer:
A) Squares
A) Squares
B) Cubes
B) Cubes
C) Triangular Numbers
C) Triangular Numbers
D) Even Numbers
D) Even Numbers
The ratio of red to blue marbles is 2 : 3. If there are 45 marbles in total, how many are red?
1 Mark(s)
Your Answer:
A) 15
A) 15
B) 18
B) 18
C) 20
C) 20
D) 25
D) 25
The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
1 Mark(s)
Your Answer:
1
1
2
2
3
3
4
4
None of these
None of these
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
1 Mark(s)
Your Answer:
16 2/3% profit
16 2/3% profit
50/6% profit
50/6% profit
16 2/3% loss
16 2/3% loss
100/3% loss
100/3% loss
Two consecutive numbers in the Virahanka sequence are 987 and 1597. It’s next term to these two numbers is:
1 Mark(s)
Your Answer:
A) 1697
A) 1697
B) 2397
B) 2397
C) 2584
C) 2584
D) 2684
D) 2684
If x : y = 5 : 6 then \(\frac{1}{2}\) is equal to
1 Mark(s)
Your Answer:
A) 6
A) 6
B) 9
B) 9
C) 8
C) 8
D) 7
D) 7
A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is_________?
1 Mark(s)
Your Answer:
5,750 litres
5,750 litres
5,760 litres
5,760 litres
6,890 litres
6,890 litres
None of these
None of these
What is the area of a square field whose diagonal of length 20 m?
1 Mark(s)
Your Answer:
300 sq m
300 sq m
250 sq m
250 sq m
200 sq m
200 sq m
400 sq m
400 sq m
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of:_________?
1 Mark(s)
Your Answer:
660 km/hr
660 km/hr
680 km/hr
680 km/hr
700 km/hr
700 km/hr
720 km/hr
720 km/hr
A car can travel 360km with a ¾ full tank. How many km can it travel with a 2/3 full tank?
1 Mark(s)
Your Answer:
400
400
320
320
240
240
300
300
A figure bounded by four sides is called a rectangle if:
1 Mark(s)
Your Answer:
A) opposite sides are equal
A) opposite sides are equal
B) opposite angles are equal
B) opposite angles are equal
C) opposite sides are equal and each angle is equal to 90°
C) opposite sides are equal and each angle is equal to 90°
D) opposite sides are unequal.
D) opposite sides are unequal.
In the given number pyramid, the value of C is
1 Mark(s)
Your Answer:
A) 8
A) 8
B) 5
B) 5
C) 10
C) 10
D) 9
D) 9
If cost of jewelry set is increased from $800 to $1150 then %age increase in the cost price is:
1 Mark(s)
Your Answer:
40%
40%
42%
42%
45%
45%
46%
46%
Farjan and Kashif can complete a task in 30 days. Farjan leaves after 20 days and Kashif alone completes it in another 25 days. How many days does Farjan alone take to complete the entire task?
1 Mark(s)
Your Answer:
50
50
75
75
60
60
45
45
The portion of a circle bounded by an arc and a corresponding chord is called:
1 Mark(s)
Your Answer:
quadrants
quadrants
segment
segment
diameter
diameter
sector
sector
In a certain class the ratio of men to women is 3:5. If the class has 24 people in it, how many are women?
1 Mark(s)
Your Answer:
9
9
12
12
15
15
18
18
2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
1 Mark(s)
Your Answer:
15
15
36
36
48
48
60
60
A boat's speed in still water is \$15$ km/h. It travels $30$ km downstream in \$2$ hours. Find the speed of the stream.
1 Mark(s)
Your Answer:
3 km/h
3 km/h
5 km/h
5 km/h
4 km/h
4 km/h
6 km/h
6 km/h
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
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9km/hr and the speed of the current is 3km/hr, the distance A and B is:_______?
1 Mark(s)
Your Answer:
4km
4km
6 km
6 km
8 km
8 km
12 km
12 km
\(\left|\begin{array}{cc} \cos 15^{\circ} & \sin 15^{\circ} \\ \sin 75^{\circ} & \cos 75^{\circ} \end{array}\right|\)
1 Mark(s)
Your Answer:
A) 0
A) 0
B) 5
B) 5
C) 3
C) 3
D) 7
D) 7
In fourth quadrant, y is
1 Mark(s)
Your Answer:
A) -ve
A) -ve
B) +ve
B) +ve
C) 0
C) 0
D) none of these
D) none of these
The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
1 Mark(s)
Your Answer:
Rs.10,840
Rs.10,840
Rs.10,720
Rs.10,720
Rs.10,560
Rs.10,560
Rs.10,280
Rs.10,280
None of these.
None of these.
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°
Two sides of a △ are 5 cm and 7 cm. Third side of this ∆ must be greater than :
1 Mark(s)
Your Answer:
A) 5 cm
A) 5 cm
B) 2 cm
B) 2 cm
C) 7 cm
C) 7 cm
D) 12 cm
D) 12 cm
45/100 * 125 + 22.22 = ________?
1 Mark(s)
Your Answer:
78
78
76
76
74
74
72
72
If n(A) = 20 and n(B) = 30 and n(A U B) = 40 then n(A ∩ B) is?
1 Mark(s)
Your Answer:
20
20
30
30
40
40
10
10
What is $\sqrt{1444}$?
1 Mark(s)
Your Answer:
38
38
36
36
40
40
42
42
Simplify: $5 + 3 \times 2$
1 Mark(s)
Your Answer:
11
11
13
13
16
16
10
10
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
1 Mark(s)
Your Answer:
Rs.7500
Rs.7500
Rs.7000
Rs.7000
Rs.8000
Rs.8000
Rs.6500
Rs.6500
None of these
None of these
Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?
1 Mark(s)
Your Answer:
x = 4, y = 8
x = 4, y = 8
x = 4, y = 4
x = 4, y = 4
x = 2, y = 4
x = 2, y = 4
x = 8, y = 4
x = 8, y = 4
The diagonal of a square is 4√2cm. The diagonal is another square whose area is double that of the first square is__________?
1 Mark(s)
Your Answer:
8cm
8cm
8√2cm
8√2cm
16cm
16cm
4√2cm
4√2cm
P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
1 Mark(s)
Your Answer:
Rs.3000
Rs.3000
Rs.3600
Rs.3600
Rs.2400
Rs.2400
Rs.4000
Rs.4000
None of these
None of these
37037 is always divisible by
1 Mark(s)
Your Answer:
A) 101
A) 101
B) 17
B) 17
C) 31
C) 31
D) 307
D) 307
The scientific notation of 51.26000 is
1 Mark(s)
Your Answer:
A) 5.126 × 10 4
A) 5.126 × 10 4
B) 5.126 × 10 1
B) 5.126 × 10 1
C) 5.126 × 10 -4
C) 5.126 × 10 -4
D) 5.126 × 10 -6 126 × 10 1 Assertion-Reason Type Questions
D) 5.126 × 10 -6 126 × 10 1 Assertion-Reason Type Questions
(180/37 of 14.8) / (17/60.1 of 180.30) = _______?
1 Mark(s)
Your Answer:
1.4
1.4
1.6
1.6
1.5
1.5
1.2
1.2
If $\alpha$ and $\beta$ are roots of $x^2 - px + q = 0$, find the equation whose roots are $\alpha^2 + \beta^2$ and $\alpha^{-2} + \beta^{-2}$
1 Mark(s)
Your Answer:
$q^2x^2-(p^2-2q)(q^2+1)x+(p^2-2q)^2=0$
$q^2x^2-(p^2-2q)(q^2+1)x+(p^2-2q)^2=0$
$x^2-p^2x+q^2=0$
$x^2-p^2x+q^2=0$
$x^2-(p^2+q^2)x+p^2q^2=0$
$x^2-(p^2+q^2)x+p^2q^2=0$
$q^2x^2-p^2(q^2+1)x+(p^2-2q)^2=0$
$q^2x^2-p^2(q^2+1)x+(p^2-2q)^2=0$
The difference between compound interest and simple interest on a sum for \$2$ years at \$10\%$ per annum is $₹50$. Find the sum.
1 Mark(s)
Your Answer:
₹4500
₹4500
₹5000
₹5000
₹5500
₹5500
₹6000
₹6000
Virahanka numbers are
1 Mark(s)
Your Answer:
A) 1,3,6, 10, 15…
A) 1,3,6, 10, 15…
B) 1,2, 3, 5, 8…
B) 1,2, 3, 5, 8…
C) 1, 8, 27, 64, 125…
C) 1, 8, 27, 64, 125…
D) 1, 7, 19, 37…
D) 1, 7, 19, 37…
The method to derive a quadratic formula is:
1 Mark(s)
Your Answer:
completing square method
completing square method
factorization method
factorization method
synthetic method
synthetic method
using formula method
using formula method
I. a
3
– 988 = 343,
II. b
2
– 72 = 49 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 angle of a major segment is
1 Mark(s)
Your Answer:
A) acute
A) acute
B) right
B) right
C) obtuse
C) obtuse
D) straight.
D) straight.
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man’s rate is________?
1 Mark(s)
Your Answer:
1 kmph
1 kmph
5 kmph
5 kmph
8 kmph
8 kmph
3 kmph
3 kmph
If the value of tan2 θ + tan4 θ = 1, what will be the value of cos2 θ + cos4 θ?
1 Mark(s)
Your Answer:
4
4
1
1
-2
-2
-1
-1
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
1 Mark(s)
Your Answer:
120
120
720
720
4320
4320
2160
2160
If √x is irrational number, then x is:
1 Mark(s)
Your Answer:
A) rational
A) rational
B) irrational
B) irrational
C) 0
C) 0
D) real
D) real
The cost of fencing a rectangular field 24 m long and 18 m wide at ₹ 2.25 per metre is
1 Mark(s)
Your Answer:
A) ₹ 243
A) ₹ 243
B) ₹ 234
B) ₹ 234
C) ₹ 189
C) ₹ 189
D) ₹ 198
D) ₹ 198
If $x - 14 = 31$, find $x$
1 Mark(s)
Your Answer:
43
43
44
44
46
46
45
45
If the system of equations 2x + 3y + 5 = 0, x + ky + 5 = 0, kx – 12y – 14 = 0 has non-trivial solution, then the value of k is
1 Mark(s)
Your Answer:
A) -2, \(\frac{12}{5}\)
A) -2, \(\frac{12}{5}\)
B) -1, \(\frac{1}{5}\)
B) -1, \(\frac{1}{5}\)
C) -6, \(\frac{17}{5}\)
C) -6, \(\frac{17}{5}\)
D) 6, \(-\frac{12}{5}\) (\frac{17}{5}\)
D) 6, \(-\frac{12}{5}\) (\frac{17}{5}\)
A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?
1 Mark(s)
Your Answer:
1:3
1:3
3:1
3:1
1:2
1:2
2:1
2:1
The area of a semicircle with diameter 10 cm is (n = 3.14)
1 Mark(s)
Your Answer:
A) 37.68 cm 2
A) 37.68 cm 2
B) 9.42 cm 2
B) 9.42 cm 2
C) 18.84 cm 2
C) 18.84 cm 2
D) 39.25 cm 2 25 cm 2
D) 39.25 cm 2 25 cm 2
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