Geometry Mock Test 8 - Online MCQ Exam

The difference between the radi of the smaller circle and the bigger circle is 7cm and the difference between the area of two circles is 1078Sq.cm Radius of the smaller circle is_________?

1 Mark(s)

Your Answer:

17.5cm 17.5cm
21cm 21cm
28cm 28cm
None of these None of these

If $5^{x+2} = 625$, find the value of $x$

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Your Answer:

0 0
1 1
2 2
3 3

Simplified form of: a+4+b+4+a+4+b+4+a+4+b+4 is

1 Mark(s)

Your Answer:

A) a+b+4 A) a+b+4
B) 3a+3 b+12 B) 3a+3 b+12
C) 3a+3 b+24 C) 3a+3 b+24
D) 3a+2 b+24 D) 3a+2 b+24

If $x - 19 = 36$, find $x$

1 Mark(s)

Your Answer:

53 53
54 54
56 56
55 55

The sum of 5 and -7 is:

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Your Answer:

2 2
−2 −2
7 7
5 5

If the internal dimensions of wooden box are as 80cm long, 48cm wide, 20cm deep and box is 4cm thick then volume of wood that is to be used in constructing the box is:

1 Mark(s)

Your Answer:

250cm³ 250cm³
19296cm³ 19296cm³
18500cm³ 18500cm³
17050cm³ 17050cm³

The estimated value of 74.6 ⁄ 3.8 is:

1 Mark(s)

Your Answer:

1.963 1.963
19.63 19.63
196.3 196.3
20.63 20.63

Two pipes A and B can fill a tank in \$36$ and \$45$ hours respectively. If both pipes are opened simultaneously, how much time before the tank is full should pipe B be closed so that the tank is full in \$20$ hours?

1 Mark(s)

Your Answer:

5 hours 5 hours
6 hours 6 hours
7 hours 7 hours
8 hours 8 hours

Two shorter legs of a triangle are 7 cm and 24 cm. Which conclusion is correct?

1 Mark(s)

Your Answer:

A) It is not a right-angled triangle. A) It is not a right-angled triangle.
B) Its hypotenuse is not a whole number.
C) Its hypotenuse is 25 cm. C) Its hypotenuse is 25 cm.
D) Its sides do not form a primitive Baudhayana triple

If y exceeds x by 20%, then x is less than y by_______?

1 Mark(s)

Your Answer:

16% 16%
16 1/3 % 16 1/3 %
16 2/3 % 16 2/3 %
16 3/5 % 16 3/5 %

Ramees sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?

1 Mark(s)

Your Answer:

Rs.2000 Rs.2000
Rs.1980 Rs.1980
Rs.1891 Rs.1891
Rs.1750 Rs.1750

The integers between -3 and 2 includes:

1 Mark(s)

Your Answer:

0, -2, -1, 1 0, -2, -1, 1
−2, -1, 0, 1 −2, -1, 0, 1
−1, -2, 0, 1 −1, -2, 0, 1
0, 1, -1, -2 0, 1, -1, -2

Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?

1 Mark(s)

Your Answer:

56 56
42 42
38 38
34 34

A garrison has provision for 30 days for certain men. If 2/3 of them do not attend the mess then the food will last for?

1 Mark(s)

Your Answer:

50 days 50 days
90 days 90 days
65 days 65 days
55 days 55 days

A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?

1 Mark(s)

Your Answer:

Rs. 45 Rs. 45
Rs. 40 Rs. 40
Rs. 35 Rs. 35
Rs. 50 Rs. 50
None of these None of these

Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?

1 Mark(s)

Your Answer:

Rs.2400 Rs.2400
Rs.3600 Rs.3600
Rs.2850 Rs.2850
Rs.2000 Rs.2000

The number of distinct real roots of $\left|\begin{array}{ccc} \sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x \end{array}\right|=0$ in the interval $-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}$ is

1 Mark(s)

Your Answer:

A) 0 A) 0
B) 2 B) 2
C) 1 C) 1
D) 3 D) 3

The value of c in Mean value theorem for the function f(x) = x(x – 2), x ∈ [1, 2] is

1 Mark(s)

Your Answer:

A) $\frac{3}{2}$ A) $\frac{3}{2}$
B) $\frac{2}{3}$ B) $\frac{2}{3}$
C) $\frac{1}{2}$ C) $\frac{1}{2}$
D) $\frac{5}{2}$ (\frac{3}{2}\) D) $\frac{5}{2}$ (\frac{3}{2}\)

If Bt = B then the matrix B is called:

1 Mark(s)

Your Answer:

symmetric symmetric
skew symmetric skew symmetric
Transpose Transpose
determinant determinant

Assertion (A) The standard form of 0.00042 is 42 × 10 -4 Reason (R) In scientific notation, the coefficient must be between 1 and 10 and the exponent shows the number of places the decimal is shifted.

1 Mark(s)

Your Answer:

A) Both A and R are correct and R is the correct explanation of A.
B) Both A and R are correct 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. Fill in the blanks 1. 4 × 4 × 4 × 4 = _______________ Answer: 4 4 2. The value of (-4) 2 is _______________ Answer: 16 3. 8 6 ÷ 8 3 = _______________ Answer: 8 3 4. 100,000 = _______________ × 10 4 Answer: 1 5. A cube number less than 50 is _______________ Answer: 27 6. The thickness of sheet of paper initially is 0.001 then after 7 folds, the thickness of paper becomes _________ cm. Answer: 0.128 7. The value of 5° is _________ Answer: 1 8. The number 450 expressed as a product of prime factors in exponential form is _________ Answer: 2 × 3 2 × 5 2 9. One crore in powers of 10 is written as _________ Answer: 10 7 10. The standard form of 12345000 is _________ Answer: 1.2345 × 10 7 True/False

If $x^2 - 6x + 8 = 0$, find the sum of the squares of the roots.

1 Mark(s)

Your Answer:

16 16
18 18
20 20
24 24

If a car travels 'x' hours at 'y' km⁄h then the distance travelled by car 'z' is equal to:

1 Mark(s)

Your Answer:

z = xy z = xy
z = x⁄y z = x⁄y
z = y⁄x z = y⁄x
z = x + y z = x + y

What is the simplified value of (cosec A - sin A)2 + (sec A - cos A)2 - (cot A - tan A)2?

1 Mark(s)

Your Answer:

0 0
1 1
-1 -1
2 2

Which term of the AP: 92, 88, 84, 80, …isO?

1 Mark(s)

Your Answer:

A) 23 A) 23
B) 32 B) 32
C) 22 C) 22
D) 24 D) 24

In the given figure, two circles intersect at A and B. If ∠C = 80°, find the value of x.

1 Mark(s)

Your Answer:

A) 81 A) 81
B) 4014 B) 4014
C) 162 C) 162
D) 100 D) 100

The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?

1 Mark(s)

Your Answer:

5 : 3 : 1 5 : 3 : 1
5 : 3 : 2 5 : 3 : 2
10 : 7 : 4 10 : 7 : 4
10 : 8 : 5 10 : 8 : 5
None of these None of these

A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

1 Mark(s)

Your Answer:

11.2 kmph 11.2 kmph
10 kmph 10 kmph
10.2 kmph 10.2 kmph
10.8 kmph 10.8 kmph

A boat goes 6 km in an hour in still water. It takes thrice as much time in covering the same distance against the current. Speed of the current is_______?

1 Mark(s)

Your Answer:

2 km/hr 2 km/hr
3km/hr 3km/hr
4km/hr 4km/hr
5 km/hr 5 km/hr

By solving the equation 5x + 10.8 = 16.3, the value of 'x' will be:

1 Mark(s)

Your Answer:

5.1 5.1
4.1 4.1
2.1 2.1
1.1 1.1

What will be the value of x3 + y3 + z3, if x + y + z = 0?

1 Mark(s)

Your Answer:

3xyz 3xyz
2xyz 2xyz
xyz xyz
xyz(xy + yz + zx) xyz(xy + yz + zx)

The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?

1 Mark(s)

Your Answer:

23.57 cm 23.57 cm
47.14 cm 47.14 cm
84.92 cm 84.92 cm
94.94 cm 94.94 cm

A rectangular field has dimensions 25m by 15m. Two mutually perpendicular passage of 2m width have been left in it’s central part and grass has been grown in rest of the field. The area under the grass is____________?

1 Mark(s)

Your Answer:

295m2 295m2
299m2 299m2
300m2 300m2
375m2 375m2

A terminating decimal is:

1 Mark(s)

Your Answer:

A) natural number A) natural number
B) a whole number B) a whole number
C) a rational number C) a rational number
D) an integer D) an integer

The sum of five consecutive numbers is 95. What is the middle number?

1 Mark(s)

Your Answer:

A) 17 A) 17
B) 18 B) 18
C) 19 C) 19
D) 20 D) 20

A cistern can be filled by pipe A in \$12$ hours and by pipe B in \$18$ hours. Both pipes are opened together but pipe A is closed after \$4$ hours. In how many more hours will the cistern be filled?

1 Mark(s)

Your Answer:

7 hours 7 hours
8 hours 8 hours
9 hours 9 hours
10 hours 10 hours

Using the digits 1, 2, 3, 4, and 5, a number having five digits is formed without any repetition. What is the probability that the number is divisible by 4?

1 Mark(s)

Your Answer:

1/5 1/5
2/5 2/5
5/6 5/6
3/5 3/5

Evaluating Your Answers

Geometry Mock Test 8 : Question 1 of 36