Download 1. Even, Odd and Prime Numbers

<www.mahaedutechnet.org> 1 : 1. Even, Odd and Prime Numbers
Q. 1
Which of the following statements is true?
[1] One of the prime numbers is [2] One of the prime numbers is
an odd number while others
an even number while others
are even numbers.
are odd numbers.
[3] All prime numbers are odd. [4] All prime numbers are even.
Wrong! You Entered : 0, Correct Answer : 2.
2 is the only prime number that is even.
2 : 2. To Form the Greatest and the Smallest Numbers
Q. 2
The numerical value of 78(4+5a)32 is equal to the numerical value of
78932. Then a=?
[1] 4
[2] 1
[3] 5
[4] 9
Wrong! You Entered : 0, Correct Answer : 2.
78 ( 4 + 5a) 32 = 78932
4 + 5a = 9
5a = 5
a = 1
3 : 3. Place Values
Q. 3
What is the difference between the place values of digit 4 in the
number 52.354 and 25.142?
[1] 27.212
[2] 0.036
[3] 0.212
[4] 0.044
Wrong! You Entered : 0, Correct Answer : 2.
Place value of 4 in 52.354 = 0.004
Place value of 4 in 25.142 = 0.04
difference = 0.040 – 0.004 = 0.036
4 : 4. Fundamental Mathematical Operations
Q. 4
If 4 is subtracted from a number and the remainder is divided by 6,
the quotient is 4. Find the quotient, if 3 is subtracted from the same
<www.mahaedutechnet.org> number and remainder is divided by 5.
[1] 3
[2] 4
[3] 5
[4] 6
Wrong! You Entered : 0, Correct Answer : 3.
Let us assume that the number is x
x – 4 = 24
x = 28
5 : 5. Rational Numbers
Q. 5
If the following rational numbers are written in descending order,
which rational number will come in the middle? (1999)
13/14, 9/10, 12/13, 15/16, 20/21
[1] 9/10
[3] 13/14
[2] 12/13
[4] 20/21
Wrong! You Entered : 0, Correct Answer : 3.
13 / 14 = 0.9285 , 9 / 10 = 0.9 , 12 / 13 = 0.9230 ,
15 / 16 = 0.9375 , 20 / 21 = 0.9523
Descending order
6 : 6. Fractions
Q. 6
By which number should 3/4 th of 8/7 th be divided to get 3/4? (1990)
[1] 7/8
[2] 4/3
[3] 8/7
[4] 12/16
Wrong! You Entered : 0, Correct Answer : 3.
<www.mahaedutechnet.org> 7 : 7. Decimal Fractions
Q. 7
(1989)
[1] 2.65
[3] 26.5
[2] 265
[4] None of these
Wrong! You Entered : 0, Correct Answer : 2.
8 : 8. A Number Line
Q. 8
Observe the following number-line and answer the question given
below. (2002)
What is the coordinate of point A?.
[1]
[2]
[3]
[4]
Wrong! You Entered : 0, Correct Answer : 2.
<www.mahaedutechnet.org> Coordinate of point A =
9 : 9. Decimal Measures
Q. 9
55 decimeter 5 cm + 44 decimeter 5 cm = ?
[1] 10 meter
[2] 1 meter
[3] 10 decameter
[4] 1 hectometer
Wrong! You Entered : 0, Correct Answer : 1.
= 100 decimeter = 10 meter.
10 : 10. Greatest Common Divisor and Least Common
Multiple
Q. 10 The GCD and LCM of two numbers are 6 and 72 respectively. If the
ration of the two numbers is 3:4, find the numbers. (2003)
[1] 12, 16
[2] 24, 32
[3] 18, 24
[4] 21, 28
Wrong! You Entered : 0, Correct Answer : 3.
One number = x , other number =
multiplication of numbers = LCM × GCD
× 432 = 3 × 108 = 324
x = 18
second number = 18 ×
11 : 11. Square and Square Root
= 24
<www.mahaedutechnet.org> Q. 11
If x = 31, y = 36, find the value of
[1]
[3] 25
. (1991)
[2] 5
[4] 6
Wrong! You Entered : 0, Correct Answer : 2.
12 : 12. Indices
Q. 12 The number 953218 in the form of the polynomial of power 10 is
written as ...................... (2000)
[1] 9 x 105 + 5 x 104 + 3 x 103 + 2 x 102 + 1 x 101 + 8 x 100
[2] 9 x 100 + 5 x 101 + 3 x 102 + 2 x 103 + 1 x 104 + 8 x 105
[3] 9 x 104 + 5 x 105 + 3 x 103 + 2 x 102 + 1 x 101 + 8 x 101
[4] 9 x 105 + 5 x 104 + 3 x 103 + 2 x 101 + 1 x 102 + 8 x 100
Wrong! You Entered : 0, Correct Answer : 1.
13 : 13. Ratio and Proportions
Q. 13 What is the ratio of 24 minutes to 72 seconds? (1997)
[1] 1:3
[2] 3:1
[3] 20:1
[4] 1: 20
Wrong! You Entered : 0, Correct Answer : 3.
24 × 60 : 72 = 1440 : 72 = 20 : 1
14 : 14. Unitory Method and Variations
Q. 14 A bus starts from point A and is traveling at a speed of 40 km per
hour. A car starts from point A half an hour late on the same route
and overtakes the bus after 45 minutes. Determine the speed of the
car.
[1] 60 km per hour
[2] 75 km per hour
<www.mahaedutechnet.org> [3] 66.66 km per hour
[4] 100 km per hour
Wrong! You Entered : 0, Correct Answer : 3.
distance covered by the bus 40 × 1.25 = 50.00 km.
distance covered by the motor in 45 min. = 50 km.
45 min : 50 km.
60 min : x km.
motor's speed = 66.66 kmph.
15 : 15. Average
Q. 15 The average of five consecutive even numbers is 12. How many
times is the smallest number, that of the greatest number? (1987)
[1] 2 times
[2] 1/2 times
[3] 4 times
[4] 1/4 times
Wrong! You Entered : 0, Correct Answer : 2.
Assume numbers = x , x + 2 , x + 4 , x + 6 , x + 8
5x + 20 = 60
5x = 60 – 20 = 40
x = 8
numbers = 8 , 10 , 12 , 14 , 16
smaller number is half of greater number.
16 : 16. Percentage
Q. 16 80% of 1200 = 60% of m, then m =? (1993)
[1] 960
[2] 2400
[3] 1600
[4] 2000
Wrong! You Entered : 0, Correct Answer : 3.
80% of 1200 =
60% of m = 960
<www.mahaedutechnet.org> m =
17 : 17. The Simple Interest
Q. 17 How much money should be invested at the rate of simple interest of
8 pcpa to get income of Rs. 1000 per month?
[1] Rs. 150000
[2] Rs. 90000
[3] Rs. 100000
[4] Rs. 240000
Wrong! You Entered : 0, Correct Answer : 1.
Monthly Rs. 1000 means Annually Rs. 12000
I = 12000 , R = 8 , P = ? , N = 1
Rs. 150000 will here to be invested.
18 : 18. Discount, Commission and Rebate
Q. 18 A traveling salesman of a company is paid Rs. 1200 per month as
salary and 4% commission on sale above Rs. 30000. In a month, the
salesman was paid Rs. 1600. How much amount of goods were sold
by him? (2004)
[1] Rs. 35000
[2] Rs. 40000
[3] Rs. 36000
[4] Rs. 50000
Wrong! You Entered : 0, Correct Answer : 2.
Salary of the salesman = Rs. 1200
He got Rs. 1600 in one month
He got Rs. 400 as commission
He gets 4% commission on sale above Rs. 30000
100
4
x
400
<www.mahaedutechnet.org> x = 10000
To get Rs. 400 commission sale = Rs. 10000 (above Rs. 30000)
Total sale = 10000 + 30000
Rs = 40000
19 : 19. Profit and Loss
Q. 19 The selling price of an article is half of its cost price. So % profit or
loss will be ........... (1990)
[1] 50% loss
[2] 50% profit
[3] 100% profit
[4] 200% loss
Wrong! You Entered : 0, Correct Answer : 1.
Assume that the cost price = Rs. 100
selling price = Rs. 50
loss = Rs. 50
percentage loss = 50%
20 : 20. Time, Work and Speed
Q. 20 Deepak started on foot at 9.00 o' clock in the morning at the speed of
4 km/hr. Dilip started on foot at 10.00 o' clock in the morning at the
speed of 5 km/hr. Both of them traveled for Kedgaon from Adgaon.
At what time will they meet during the journey? (1993)
[1] 12.00 noon
[2] 1.00 pm
[3] 2.00 pm
[4] 3.00 pm
Wrong! You Entered : 0, Correct Answer : 3.
Time
10.00
11.00
12.00
1.00
2.00
Deepak
4 km
8 km
12 km
16 km
20 km
Dilip
0 km
5 km
10 km
15 km
20 km
21 : 21. Algebraic Expressions
<www.mahaedutechnet.org> Q. 21 If Reciprocal of (3x - y) is equal to 4 and if y = 1, find the value of x.
[1] 5/12
[2] -3/5
[3] 2/7
[4] -3/7
Wrong! You Entered : 0, Correct Answer : 1.
22 : 22. Identities and Factors of Algebraic Expressions
Q. 22
[1] (0.4x + 2y)
[3] (0.2x + 0.4y)
(1990)
[2] (0.2x - 0.4y)
[4] (2x + 4y)
Wrong! You Entered : 0, Correct Answer : 3.
23 : 23. Simple Equations
Q. 23
then x = ? (1994)
[1] 9
[3] 43
[2] 86
[4] 38
<www.mahaedutechnet.org> Wrong! You Entered : 0, Correct Answer : 3.
24 : 24. Bar Graphs
Q. 24 The following graph shows the number of people attended the
Sahitya Sammelan each day. Observe the graph carefully and
answer the following questions.
For how many days the number of present persons was above
average?
[1] 2 days
[2] 3 days
[3] 4 days
[4] 1 day
Wrong! You Entered : 0, Correct Answer : 2.
Day 1
Attendance 10000
Day 2
7500
Day 3
12000
Day 4
6000
Day 5
9000
<www.mahaedutechnet.org> Avg. Attendance
On 3 days attendance was more than average.
25 : 25. Properties of Point, Line, Ray, Segment and Plane
Q. 25 Which is the co-ordinate point of point A?
[1] 1¾
[2] -1¾
[3] -7/5
[4] 7/5
Wrong! You Entered : 0, Correct Answer : 2.
Coordinate of A = – 1.75 =
26 : 26. Angles
Q. 26 If m PQR = 900, then
PQR and its supplementary angle are
congruent.
[1] True
[2] False
[3] Insufficient Information
[4] None of these
Wrong! You Entered : 0, Correct Answer : 1.
m
PQR =
It's supplementary angle = 180 – 90 =
Both the angles are congreent.
Q. 27 Which of the following figure is of
[1]
PQR? (1988)
[2]
<www.mahaedutechnet.org> [4]
[3]
Wrong! You Entered : 0, Correct Answer : 3.
An angle is formed by two rays originating from a single point.
27 : 27. Parallel Lines
Q. 28
In the above diagram if m
[1] 500
[3] 600
ARP = 1200, Find m BRP
[2] 1200
[4] Insufficient Information
Wrong! You Entered : 0, Correct Answer : 3.
ARP and
BRP are a pair of linear angles
m ARP + m BRP = 180
m BRP = 180 – m ARP = 180 – 120 =
28 : 28. Triangles
<www.mahaedutechnet.org> Q. 29
In the adjoining figure, seg BA ||seg CE, then m
[1] 1000
[2] 800
[4] 300
[3] 700
ACB=? (1987)
Wrong! You Entered : 0, Correct Answer : 2.
m
m
ACE = m
BAC (alternate angles)
m
ACE =
ECD + m ACE + m ACB = 180 (linear pair of angles)
70 + 30 + m ACB = 180
m
ACB = 180 – 70 – 30 = 800
29 : 29. Triangles : Congruency Tests
Q. 30
In the given figure, seg AD||seg BC. m ABC=m ADC=900. Then
by which test
ABC and
ADC are congruent?
[1] SAA test
[2] SSS test
[3] SAS test
[4] None of these
Wrong! You Entered : 0, Correct Answer : 1.
side AC
ABC
side AC (Same side)
ADC (Right angle)
<www.mahaedutechnet.org> DAC
ACB
(Alternate angle)
(By SAA test , two triangles are congruent)
30 : 30. The Pythagoras Theorem
Q. 31 Each group from the alternatives represents lengths of the sides of a
triangle. State which group does not represent a right-angled
triangle.
[1] (9, 12, 15)
[2] (7, 24, 25)
[3] (10, 24, 26)
[4] (11, 50, 51)
Wrong! You Entered : 0, Correct Answer : 4.
Q. 32
Find l(BC) from the adjoining figure. (2003)
[1] 15
[2] 30
[3] 60
[4] 41.5
Wrong! You Entered : 0, Correct Answer : 3.
l (AC) = 2 × l (AD) = 2 × 30.5 = 61
By Pythagoras theorem ,
<www.mahaedutechnet.org> 31 : 31. Quadrilateral
Q. 33 The measures of angles of a quadrilateral are x0, (7x +10)0, 5x0 and
(4x+10)0. Find the measure of the greatest angle.
[1] 2000
[2] 1500
[4] 1000
[3] 1200
Wrong! You Entered : 0, Correct Answer : 2.
Sum of angles of a quadrilateral is
x $ 7x $ 10 $ 5x $ 4x $ 10 ¾
17x $ 20 ¾ 360
17x ¾ 360 & 20 ¾ 340
x ¾ 20
The greatest angle is ¾ 7x $ 10 ¾ 7 × 20 $ 10 ¾
32 : 32. Circle
Q. 34 The radius of the wheel of a bullock cart is 70cm. How many times
will the wheel rotate to travel a distance of 8.8 km? (2001)
[1] 200
[2] 2000
[3] 4000
[4] 400
Wrong! You Entered : 0, Correct Answer : 2.
Radius = 70 cm.
In one round =
<www.mahaedutechnet.org> 440 cm ¾ 4-4 m-
To go 8-8 km.
round are required-
33 : 33. Area and Volume
Q. 35 If the outer surface of the rectangular wooden block of length 48 cm,
breadth 30cm and height 20 cm is painted, then find the total area
in sq m to be painted. (2000)
[1] 0.6
[2] 2.88
[3] 1.6
[4] 1.44
Wrong! You Entered : 0, Correct Answer : 1.
Area of parallelepiped = 2 (length × breadth + length × height + height
× breadth)
= 2 × (48 × 30 + 48 × 20 + 30 × 20)
= 2 × (1440 + 960 + 600)
= 2 × (3000) = 6000
(100 × 100) = 1
6000
= 0.6
1 : Ch. 2. The rise of Regional Powers
Q. 36 Which of the following kings in medieval India was known as for
his valour, wisdom and taste?
[1]Krishnaraj
[2]Bhoja
[3]Chandradeo
[4]Govindchandra
Wrong! You Entered : 0, Correct Answer : 2.
-
2 : Ch. 4. The Sultanate of Delhi
Q. 37 When did Alauddin Khalji become the Sultan of Delhi?
[1]AD 1296
[2]AD 1286
<www.mahaedutechnet.org> [3]AD 1240
[4]AD 1316
Wrong! You Entered : 0, Correct Answer : 1.
-
3 : Ch. 6. Religious Synthesis
Q. 38 Which of the following is the name of a Sufi saint?
[1]Khwaja Moinuddin Chisti
[2]Surdas
[3]Bahamanshah
[4]None of these
Wrong! You Entered : 0, Correct Answer : 1.
-
4 : Ch. 8. The Expansion of the Mughal Power
Q. 39 Nizamshahi was put an end to by --- .
[1]Akbar
[2]Aurangzeb
[3]Shahajahan
[4]Nurjahan
Wrong! You Entered : 0, Correct Answer : 3.
-
5 : Ch. 10. Social Life during the Mughal Period
Q. 40 During the Mughal period, a thing called ‘mohur’ was -- ------[1] an official stamp
[2] a letter of approval
[3] a gold coin
[4] a copper coin
Wrong! You Entered : 0, Correct Answer : 3.
-
6 : Ch. 12. The Foundation of the ‘Swaraj’
Q. 41 Which of the following groups of represents the group of
‘parganas’ invested in Shahajiraje?
[1]Pune, Satara, Indapur,
[2]Pune, Ahmadangar, Indapur,
<www.mahaedutechnet.org> Chakan
[3]Supe, Satara, Indapur,
Chakan
Chakan
[4]Pune, Supe, Indapur,
Chakan
Wrong! You Entered : 0, Correct Answer : 4.
-
7 : Ch. 14. The Administration of the 'Swaraj'
Q. 42 The chief officer in the army of the 'Swaraj' was called --- .
[1]Senapati
[2]Sarnobat
[3]Sarkhel
[4]Hajari
Wrong! You Entered : 0, Correct Answer : 2.
-
1 : Ch. 9. Human Occupations
Q. 43 An electrician’s job is an example of --- human occupation.
[1]secondary
[2]quaternary
[3]primary
[4]tertiary
Wrong! You Entered : 0, Correct Answer : 2.
-
2 : Ch. 11. The Continent of Africa
Q. 44 In Africa, Kilimanjaro is the name of --- .
[1]a nation
[2]a river
[3]an animal
[4]a peak
Wrong! You Entered : 0, Correct Answer : 4.
-
3 : Ch. 13. The continent of South America
Q. 45 Which of the following ocean currents does not flow along the
<www.mahaedutechnet.org> coast of the continent of South America?
[1]Benguela Current
[2]Peruvian Current
[3]Brazil Current
[4]Falkland Current
Wrong! You Entered : 0, Correct Answer : 1.
-
4 : Ch. 15. Brazil
Q. 46 What is common to these rivers in Brazil: Negro, Japura, Purus
and Xingu?
[2]They originate on the Brazil
[1]They all flow eastward.
Plateau.
[3]They are tributaries of the
[4]None of these
Amazon.
Wrong! You Entered : 0, Correct Answer : 3.
-
5 : Ch. 17. Tanzania, Ch. 18 South Africa
Q. 47 Zanzibar is known for --- .
[1]oil seeds
[3]cotton
[2]coconuts
[4]corn
Wrong! You Entered : 0, Correct Answer : 2.
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1 : Ch. 3 Fundamental Rights and Duties of Citizens, Ch. 4
Directive Principles of the Constitution
Q. 48 How many Fundamental Duties are there in the Constitution today?
[2]10
[1]11
[3]12
[4]9
Wrong! You Entered : 0, Correct Answer : 2.
-
<www.mahaedutechnet.org> 2 : Ch. 6 Union Government – The Legislature
Q. 49 How many member can the President nominate to the Lok Sabha?
[1]550
[2]18
[4]112
[3]2
Wrong! You Entered : 0, Correct Answer : 3.
-
3 : Ch. 8 The State Government
Q. 50 Who is a likely candidate for the office of the Governor of a State?
[1]Your brother who has just
[2]A person who has a 15-year old
received a graduation degree
son
[3]You
[4]None of these
Wrong! You Entered : 0, Correct Answer : 2.
Most likely candidate, as he may have crossed the minimum age limit of 35 years.