Geometry Mock Test 7 - Online MCQ Exam

Which of the following has the most number of divisors?

1 Mark(s)

Your Answer:

99 99
101 101
176 176
182 182

A car gives a mileage of 20 km per liter of petrol when driven at a constant speed of 50 kmph but the mileage decreases by 10% when driven at a speed of 70 kmph. How many km can the car travel with 12 liters of petrol if it travels a speed of 70 kmph?

1 Mark(s)

Your Answer:

216 km 216 km
240 km 240 km
228 km 228 km
200 km 200 km

If (a, b, c) is a Baudhayana triple, which of the following is always true?

1 Mark(s)

Your Answer:

A) a, b, c are consecutive integers A) a, b, c are consecutive integers
B) a 2 + b 2 = c 2 B) a 2 + b 2 = c 2
C) a 2 + c 2 = b 2 C) a 2 + c 2 = b 2
D) a, b, and c are all prime numbers D) a, b, and c are all prime numbers

What is $\frac{33}{44} - \frac{28}{44}$?

1 Mark(s)

Your Answer:

$\frac{4}{44}$ $\frac{4}{44}$
$\frac{5}{44}$ $\frac{5}{44}$
$\frac{6}{44}$ $\frac{6}{44}$
$\frac{1}{9}$ $\frac{1}{9}$

Moons salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?

1 Mark(s)

Your Answer:

Rs. 8000 Rs. 8000
Rs. 7500 Rs. 7500
Rs. 7400 Rs. 7400
Rs. 7200 Rs. 7200
None of these None of these

P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?

1 Mark(s)

Your Answer:

10 days 10 days
14 days 14 days
15 days 15 days
9 days 9 days

The round off value of 80⁄70 up to four decimal places is:

1 Mark(s)

Your Answer:

0.4658 0.4658
1.1428 1.1428
0.4822 0.4822
0.4606 0.4606

To add or subtract a positive number from both sides of any inequality without any change in the inequality sign is called:

1 Mark(s)

Your Answer:

distributive property of inequality distributive property of inequality
multiplicative property of inequality multiplicative property of inequality
additive property of inequality additive property of inequality
transitive property of inequality transitive property of inequality

11 more than three times the number x can be represented as

1 Mark(s)

Your Answer:

A) 11 + x + 3 A) 11 + x + 3
B) 11x – 3 B) 11x – 3
C) 3x + 11 C) 3x + 11
D) 11x + 3 D) 11x + 3

What is the rate of interest at which Rs.150 becomes Rs. 220 in 10 years.

1 Mark(s)

Your Answer:

11/3% 11/3%
14/3% 14/3%
12% 12%
14% 14%

Which of the following has most number of divisors?

1 Mark(s)

Your Answer:

99 99
101 101
176 176
182 182

The types of variations are:

1 Mark(s)

Your Answer:

1 1
2 2
3 3
4 4

The perimeter of a square with side \$12$ cm is:

1 Mark(s)

Your Answer:

40 cm 40 cm
44 cm 44 cm
52 cm 52 cm
48 cm 48 cm

A tank is 7m long and 4m wide at what speed should water run through pipes 5cm broad and 4cm deep so that in 6 hours and 18 minutes, the water level in the tank rises by 4.5cm?

1 Mark(s)

Your Answer:

12km/hr 12km/hr
10km/hr 10km/hr
14km/hr 14km/hr
None of these None of these

Water flows a tank 200 x 150m through a rectangular pipe 1.5 x 1.25m at the rate at 20kmph. In what time will be water rises by 2 meters?

1 Mark(s)

Your Answer:

76 min 76 min
80min 80min
90min 90min
96min 96min

Find the value: $3^2 + 4^2$

1 Mark(s)

Your Answer:

20 20
25 25
30 30
35 35

Assertion (A) Sum of two positive numbers is’always negative. Reason (R) The addition is taking two or more numbers and adding them.

1 Mark(s)

Your Answer:

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).
C) (A) is true but (R) is false. C) (A) is true but (R) is false.
D) (A) is false but (R) is true. (A) is false but (R) is true. Fill in the Blanks. 1. On the number line, -15 is to the ____________ of zero. Answer: Left 2. The number of integers lying between -5 and 5 is ____________ Answer: 9 3. ____________ – 3040 = -7910. Answer: -4870 4. The additive inverse of -1 is ____________ Answer: 1 5. The additive inverse of 0 is ____________ Answer: 0 True/False 1. Every positive integer is greater than every negative integer. Answer: True 2. The sum of any two negative integers is always smaller than both the integers. Answer: True 3. The sum of any two negative integers is always greater than both the integers. Answer: False 4. The sum of any two positive integers is greater than both the integers. Answer: True 5. The difference between an integer and its additive inverse is always even. Answer: True Match the Columns.

The perimeter of a rectangular piece of cardboard is 6 m. Its breadth is 1 m. Find its length.

1 Mark(s)

Your Answer:

A) 1 m A) 1 m
B) 2 m B) 2 m
C) 3 m C) 3 m
D) 6 m D) 6 m

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

A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the the distance in km?

1 Mark(s)

Your Answer:

36 36
52 52
41 41
40 40

75 % of a number when added to 75 is equal to the number. The number is:_______?

1 Mark(s)

Your Answer:

150 150
200 200
225 225
300 300

Mathematical models provide:

1 Mark(s)

Your Answer:

estimated results estimated results
accurate results accurate results
wrong results wrong results
approximate results approximate results

What is $\sqrt{1444}$?

1 Mark(s)

Your Answer:

38 38
36 36
40 40
42 42

Which term of the sequence 3, 6, 12,… is 768?

1 Mark(s)

Your Answer:

A) 10 A) 10
B) 8 B) 8
C) 9 C) 9
D) None of these D) None of these

If $x^2 - 5x + 6 = 0$, find the product of the roots.

1 Mark(s)

Your Answer:

6 6
5 5
-6 -6
-5 -5

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

1 Mark(s)

Your Answer:

3 3
4 4
5 5
6 6

If x = 10, then 4x 2 + 20x + 25 =

1 Mark(s)

Your Answer:

A) 256 A) 256
B) 425 B) 425
C) 625 C) 625
D) 575 (A) and the other labelled as Reason (R). Select the correct answer from the options (a), (b), (c), and

What is $\frac{9}{14} + \frac{5}{14}$?

1 Mark(s)

Your Answer:

$\frac{13}{14}$ $\frac{13}{14}$
1 1
$\frac{15}{14}$ $\frac{15}{14}$
$\frac{7}{8}$ $\frac{7}{8}$

A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ?

1 Mark(s)

Your Answer:

8% 8%
10% 10%
16% 16%
20% 20%

The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?

1 Mark(s)

Your Answer:

75 75
150 150
50 50
None of these None of these

The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?

1 Mark(s)

Your Answer:

248 248
240 240
228 228
236 236
None of these None of these

If a man walks at 6 kmph, he can reach his destination at 9:00 am. However, he walks a little slower and reaches only at 10:00 am. If the distance to his destination was 12 km, at what speed did he walk?

1 Mark(s)

Your Answer:

5 kmph 5 kmph
4 kmph 4 kmph
4.5 kmph 4.5 kmph
3 kmph 3 kmph

If a cricket team wins 5 matches and losses 7, then the ratio of the games won to lost is:

1 Mark(s)

Your Answer:

5 + 7 5 + 7
44017 44017
7 7
5 : 7 5 : 7

The order of rotational symmetry in the figure given below is

1 Mark(s)

Your Answer:

A) 4 A) 4
B) 2 B) 2
C) 1 C) 1
D) infinitely many D) infinitely many

Rohan uses a trick to find a friend’s birthday. He tells his friend to multiply the month number M by 5, add 7, multiply by 4, add 13, and finally multiply the result by 5. Which algebraic expression represents this trick?

1 Mark(s)

Your Answer:

A) (5M + 7) × 4 + 13 × 5 A) (5M + 7) × 4 + 13 × 5
B) {(5M + 7) × 4 + 13} × 5 B) {(5M + 7) × 4 + 13} × 5
C) 5M + 7 + 4 + 13 + 5 C) 5M + 7 + 4 + 13 + 5
D) 5(M + 7 + 4 + 13) (5M + 7) × 4 + 13} × 5

Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.

1 Mark(s)

Your Answer:

2.5 km 2.5 km
7.2 km 7.2 km
7 km 7 km
3.6 km 3.6 km

The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

1 Mark(s)

Your Answer:

18, 20, 22 18, 20, 22
20, 22, 24 20, 22, 24
22, 24, 26 22, 24, 26
24, 26, 28 24, 26, 28

A train \$300$ m long crosses a platform twice its length in \$1$ minute. Find the speed of the train in km/h.

1 Mark(s)

Your Answer:

54 km/h 54 km/h
60 km/h 60 km/h
72 km/h 72 km/h
80 km/h 80 km/h

AB, CD and EF are chords of a circle with centre O. Also OL ⊥ AB, OM ⊥ CD and ON ⊥ EF. If OL = OM = ON, then which of the following is true?

1 Mark(s)

Your Answer:

A) AB, BC and CD are unequal A) AB, BC and CD are unequal
B) AB, BC and CD may be or may not be equal
C) AB = BC = CD C) AB = BC = CD
D) None of these D) None of these

$\frac{21}{19}$ can be expressed In form

1 Mark(s)

Your Answer:

A) 2$\frac{3}{7}$ A) 2$\frac{3}{7}$
B) 2$\frac{3}{7}$ B) 2$\frac{3}{7}$
C) 1$\frac{3}{7}$ C) 1$\frac{3}{7}$
D) 3$\frac{3}{7}$ (\frac{3}{7}[/latex D) 3$\frac{3}{7}$ (\frac{3}{7}[/latex

A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

1 Mark(s)

Your Answer:

11 11
30 30
14 14
20 20

What is $15^2$?

1 Mark(s)

Your Answer:

225 225
200 200
250 250
275 275

A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is:

1 Mark(s)

Your Answer:

12% 12%
10% 10%
6% 6%
4% 4%

The 9³ (cube of 9) is equal to:

1 Mark(s)

Your Answer:

525 525
343 343
729 729
512 512

Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

1 Mark(s)

Your Answer:

420 420
515 515
435 435
518 518

If y = ax 2 + b, then $\frac{d y}{d x}$ at x = 2 is equal to

1 Mark(s)

Your Answer:

A) 4a A) 4a
B) 3a B) 3a
C) 2a C) 2a
D) None of these D) None of these

The figure has

1 Mark(s)

Your Answer:

A) one line of symmetry A) one line of symmetry
B) no line of symmetry B) no line of symmetry
C) two lines of symmetry C) two lines of symmetry
D) none of above D) none of above

The sum of three numbers is 2, if the first number is � times of the 2nd number, and the third number is � times of the 2nd number. What will be the second number?

1 Mark(s)

Your Answer:

8/7 8/7
7/8 7/8
6/7 6/7
7/6 7/6

The maximum probability of an event is

1 Mark(s)

Your Answer:

A) 0 A) 0
B) 1 B) 1
C) $\frac{1}{2}$ C) $\frac{1}{2}$
D) none of these. D) none of these.

If the ratio 12 : 10 : 8 : 6 is reduced to its simplest form, it becomes

1 Mark(s)

Your Answer:

A) 6 : 5 : 3 : 4 A) 6 : 5 : 3 : 4
B) 3 : 5 : 4 : 3 B) 3 : 5 : 4 : 3
C) 6 : 5 : 4 : 3 C) 6 : 5 : 4 : 3
D) 6 : 10 : 8 : 6 (A) is followed by a statement of Reason (R). Choose the correct option as:

Area of a triangle is equal to

1 Mark(s)

Your Answer:

A) $\frac{1}{2}$ × Base × Corresponding altitude
B) $\frac{1}{4}$ × Base × Corresponding altitude
C) $\frac{1}{3}$ × Base × Corresponding altitude
D) Base × Corresponding altitude (\frac{1}{2}\) × Base × Corresponding altitude

(i). a2 – 9a + 20 = 0, (ii). 2b2 – 5b – 12 = 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 the relationship between a and b cannot be established
If a ≥ b If a ≥ b

If two dice are thrown together, what is the probability of getting an even number on one dice and an odd number on the other dice?

1 Mark(s)

Your Answer:

1/4 1/4
3/5 3/5
3/4 3/4
1/2 1/2

Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?

1 Mark(s)

Your Answer:

17 hr 17 hr
14 hr 14 hr
12 hr 12 hr
19 hr 19 hr

The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

1 Mark(s)

Your Answer:

1 : 96 1 : 96
1 : 48 1 : 48
1 : 84 1 : 84
1 : 68 1 : 68

The value of 2.9̄ in the form $\frac{p}{q}$ where p and q are integers and q ≠ 0, is

1 Mark(s)

Your Answer:

A) $\frac{2999}{1000}$ A) $\frac{2999}{1000}$
B) $\frac{19}{10}$ B) $\frac{19}{10}$
C) 3 C) 3
D) $\frac{26}{9}$ D) $\frac{26}{9}$

In an examination, the ratio of passes to failure was 3 :1. If 20 less had appeared and 10 less passed, the ratio of passes to failures would have been 5 :1. The number of students appeared for the examination is

1 Mark(s)

Your Answer:

A) 80 A) 80
B) 60 B) 60
C) 75 C) 75
D) 65 D) 65

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 person buys a TV for $₹15000$ and sells it at a loss of \$8\%$. Find the selling price.

1 Mark(s)

Your Answer:

₹13500 ₹13500
₹13800 ₹13800
₹14000 ₹14000
₹14200 ₹14200

Masood’s age 18 years hence will be thrice his age four years ago. Find Masood’s present age?

1 Mark(s)

Your Answer:

12 years 12 years
21 years 21 years
18 years 18 years
9 years 9 years
None of these None of these

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Geometry Mock Test 7 : Question 1 of 60