1 : 1. Even, Odd and Prime Numbers 2 : 2. To Form the Greatest and ...

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 


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 


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

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 [2] 12/13 

[3] 13/14 [4] 20/21 


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.

7 : 7. Decimal Fractions 

Q. 7 

(1989) 

[1] 2.65 [2] 265 

[3] 26.5 [4] None of these 


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.

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 


= 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 


One number = x , other number = 

multiplication of numbers = LCM × GCD 

× 432 = 3 × 108 = 324 

x = 18 second number = 18 × = 24 

11 : 11. Square and Square Root

Q. 11 

If x = 31, y = 36, find the value of . (1991) 

[1] [2] 5 

[3] 25 [4] 6 


12 : 12. Indices 

Q. 12 The number 953218 in the form of the polynomial of power 10 is 

written as ...................... (2000) 

[1] 9 x 10 5 + 5 x 10 4 + 3 x 10 3 + 2 x 10 2 + 1 x 10 1 + 8 x 10 0 

[2] 9 x 10 0 + 5 x 10 1 + 3 x 10 2 + 2 x 10 3 + 1 x 10 4 + 8 x 10 5 

[3] 9 x 10 4 + 5 x 10 5 + 3 x 10 3 + 2 x 10 2 + 1 x 10 1 + 8 x 10 1 

[4] 9 x 10 5 + 5 x 10 4 + 3 x 10 3 + 2 x 10 1 + 1 x 10 2 + 8 x 10 0 


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 


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

[3] 66.66 km per hour [4] 100 km per hour 


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 


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 


80% of 1200 = 

60% of m = 960

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 


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 


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

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 


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 


Time Deepak Dilip 

10.00 4 km 0 km 

11.00 8 km 5 km 

12.00 12 km 10 km 

1.00 16 km 15 km 

2.00 20 km 20 km 

21 : 21. Algebraic Expressions

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 


22 : 22. Identities and Factors of Algebraic Expressions 

Q. 22 

(1990) 

[1] (0.4x + 2y) [2] (0.2x - 0.4y) 

[3] (0.2x + 0.4y) [4] (2x + 4y) 


23 : 23. Simple Equations 

Q. 23 

then x = (1994) 

[1] 9 [2] 86 

[3] 43 [4] 38


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 


Day 1 Day 2 Day 3 Day 4 Day 5 

Attendance 10000 7500 12000 6000 9000

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 


Coordinate of A = – 1.75 = 

26 : 26. Angles 

Q. 26 If m PQR = 90 0 , then PQR and its supplementary angle are 

congruent. 

[1] True [2] False 

[3] Insufficient Information [4] None of these 


m PQR = It's supplementary angle = 180 – 90 = 

Both the angles are congreent. 

Q. 27 Which of the following figure is of PQR (1988) 

[1] 

[2]

[4] 

[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 ARP = 120 0 , Find m BRP 

[1] 50 0 [2] 120 0 

[3] 60 0 [4] Insufficient Information 


ARP and BRP are a pair of linear angles 

m ARP + m BRP = 180 

m BRP = 180 – m ARP = 180 – 120 = 

28 : 28. Triangles

Q. 29 

In the adjoining figure, seg BA ||seg CE, then m ACB= (1987) 

[1] 100 0 [2] 80 0 

[3] 70 0 [4] 30 0 


m ACE = m BAC (alternate angles) 

m ACE = 

m ECD + m ACE + m ACB = 180 (linear pair of angles) 

70 + 30 + m ACB = 180 

m ACB = 180 – 70 – 30 = 80 0 

29 : 29. Triangles : Congruency Tests 

Q. 30 

In the given figure, seg AD||seg BC. m ABC=m ADC=90 0 . Then 

by which test ABC and ADC are congruent 

[1] SAA test [2] SSS test 

[3] SAS test [4] None of these 


side AC 

side AC (Same side) 

ABC 

ADC (Right angle)

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) 


Q. 32 

Find l(BC) from the adjoining figure. (2003) 

[1] 15 [2] 30 

[3] 60 [4] 41.5 


l (AC) = 2 × l (AD) = 2 × 30.5 = 61 

By Pythagoras theorem ,

31 : 31. Quadrilateral 

Q. 33 The measures of angles of a quadrilateral are x 0 , (7x +10) 0 , 5x 0 and 

(4x+10) 0 . Find the measure of the greatest angle. 

[1] 200 0 [2] 150 0 

[3] 120 0 [4] 100 0 


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 


Radius = 70 cm. 

In one round =

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 


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 


- 

2 : Ch. 4. The Sultanate of Delhi 

Q. 37 When did Alauddin Khalji become the Sultan of Delhi 

[1]AD 1296 [2]AD 1286

[3]AD 1240 [4]AD 1316 


- 

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 


- 

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 


- 

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 


- 

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,

Chakan 

[3]Supe, Satara, Indapur, 

Chakan 

Chakan 

[4]Pune, Supe, Indapur, 

Chakan 


- 

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 


- 

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 


- 

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 


- 

3 : Ch. 13. The continent of South America 

Q. 45 Which of the following ocean currents does not flow along the

coast of the continent of South America 

[1]Benguela Current 

[2]Peruvian Current 

[3]Brazil Current 

[4]Falkland Current 


- 

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 


Amazon. 


- 

5 : Ch. 17. Tanzania, Ch. 18 South Africa 

Q. 47 Zanzibar is known for --- . 

[1]oil seeds 

[3]cotton 


- 

[2]coconuts 

[4]corn 

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 

[1]11 [2]10 

[3]12 [4]9 


-

2 : Ch. 6 Union Government – The Legislature 

Q. 49 How many member can the President nominate to the Lok Sabha 

[1]550 [2]18 

[3]2 [4]112 


- 

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 



Most likely candidate, as he may have crossed the minimum age limit of 35 years.

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