# Sarkari job : Math’s Reasoning Qus / Ans

## Sarkari job : Math’s Reasoning Qus / Ans

## For any types JEE / SBI-PO/ MAINS/ IAS/UPPSC/SSC/SSC JE/of government exam preparations this qstions are must and very important

## Number System

### 1 CHAPTER

Sarkari job : Math’s Reasoning Qus / Ans

11 real number, It divided into real number and imaginary number The number which we can put on a number line are

NUMBER SYSTEM

unPrime and Composite numbers: Prime numbers are those, which does not have any factor

except I and itself like 2.3.5.7.11.13 etc Composite numbers are numbers ether than prime

Note: (Lis neither prime nor composite

And other numbers are imaginary numbers, e

12) 2 the unly even prime (2) There are 25 prime numbers from 1 to

100 and 15 prime numbers from 1 to 50

UNIT’S DIGIT IN THE PRODUCT Example, Find the unit’s digit in the product

256-27-150-182 Solution Product of unit’s digits in given numbers

-16-7-9-2)-756 Hence, unit digit in the given product is 6. Example. Find the unit’s digit in the product

Here -1 is denied by

## REAL NUMBERS

Real numbers are divided into rational numbers and irrational numbers

1. Rational Numbers.

Ratimal numbers can be put in the forms of

whery is not equal to U 23

Apsis rational numbers are divided into terminating

Solution: Clearly, unit digit in 31 Unit digit in 3 is 1

decimals and non-terminating decimals eg 12-05 is a terminating decimal while 12. 16 are non-terminating decimal Terminating decimals are being identified by the fact that there is no prime factor other than 2 or 5 in the deneninator of the lowest fraction while if there is any other prime factor other than 2 ur &, than non-terminating but repeating We can put a bar un it for defining the same. For example, 2.3

Unit digit in 3 i 7.

(Unit digit in 1-3-3-37

Clearly, anit digit in every power of 6 is 6

Unit digit in 6 in 6.

Clearly, unit digit in 7 is 1 Unit digit in 7 is 1 Unit digit in 7 is 7. (Unit digit in 17 is 71

means 2.333 467 means 4.676767

Unit digit in given product

2. Irrational Numbers.

The numbers which are non-terminating and non

Unit digit in (7×6=71-4

repeating are irrational numbers 12, 13 etc

FACTORIAL NUMBERS The highest power of a prime number ‘a’ which is

Classification of Rational numbers.

contained in nin

Rational numbers are further divided into decimals and integers. There are positive integers, 0 and negative integers Positive integers are called natural numbers while positive integers with 0 are called

### Sarkari job : Math’s Reasoning Qus / Ans

### whole numbers

where lxl represents the greatest integer less than or equal to x.

Natural numbers further classified into two different categories (Even and Odd numbers: This concept of even

Example. What is the highest power of 2 contained in 70

and odd looks to be very need to be understood

simple but certain things Solution.

## Sarkari job

Le. E-E-EE-0-0,0-0-EE E-E

O E E.0.0-0

0 (zero) is neither positive nor negative

=35+17

-1-0-67

V

[29-07-2023 13:23] Priya: 10

11

Sum of all the digits of the number is divisiore by un

Last digit is 0.

If every second digit is added and then subtracted sum of all other digits, the answer is 0, or divisible by 11.

Number is divisible by both 3 and 4.

perfect square

(a) 1004

(b) 1

(e) 1036

(d) N

13. The missing number in th

18, 54.-is

(a) 27

(c) 68

12

### OBJECTIVE TYPE QUESTIONS

14 16, 25……..?

. What is the eighth term

(b

1. If the following groups of fractions is arranged in ascending order?

(a) 8

765

576

(a) 16 18 17

(b)

18 17 16

(c) 128

Ad

15.

Which of the following u

for the following expres

567 16 17 18

75

(c)

(d)

17′ 18’16

(7.9986/0.115)+

9285

2.

If fractions

are arranged in

13’3’11’7

ascending order, then the correct sequence is

(

a) 15

(b) 10

16. For every positive rea

4. If numerator and denominator of a proper fractions are increased by the same quantity, then the resulting fraction is

(a) always greater than the original fraction (b) always less than the original fraction

(e) always equal to the original fraction

(d) none of these

5. If x+y 5 and x-y> 3, then which of the following gives all possible values of x?

(a) x>3 (b) x > 4 (c) x>5 (d) x < 5 6. If x and y are negative, then which of the

following statements is/are always true?

I.x + y is positive

II. xy is positive

III. x-y is positive

(a) I only

(b) II only

(c) III only

(d) I and III only

2958

9285 (a)

13 3 11 7

(b)

3’13’7’11

2859 3’11’7’13

5829 7’11’3’13

(e)

(d)

3. Which one of the following is the largest?

where [ ] is greatest

(a) 0

(c) [x + 1]

17. How many odd nu

book of 1089 pages

(a) 545

(e) 546

25.6.5.3/7 and 8/2

(

a) 8√2

(b) 2/5

(e) 6√3

(d) 3√7

[29-07-2023 13:23] Priya: प्रैक्ि

स्टेट बैंक ऑफ इ

SBI P

री ऑफिसर

II-A

910

तरीय प्र

7. The value of 000064

id) None

20

Sarkari job : Math’s Reasoning Qus / Ans

11 10 999 is divided by III, then what is the remainder? 11882 2010 01110

Number System 1.5

18 Givensland is product of four consecutive integers. Then which of the following is true?

1n is an odd integer 2 in prime

3. n is a perfect square

(a) Both 1 and 3 are correct 18) Both 1 and 2 are currect

(e) Only 1 is correct

(d) Only 3 is correct 19. Which of the following integers is the square of

an integer of every integer n

(b) n’+n (d) n’+2n+1

20. What is the least fraction which, when added to

The value of

10. Taking √1414, √ -1,732,√5-2236 and 6-2449, then the value of

29 15 or subtracted from will make the result 12 16

a whole number 21

9-12 to the places of decimala is 9.232113716 6 10.723 i 15.892

31 the

31

17

38

38 48 48

21. Find the whole number which when increased by 20 is equal to 60 times the reciprocal of the number

11. The cube root to 1 061208 Sa) 1.022 (6) 10.22 (c) 0.102 (d) 1.02 12. The least number having four digits which is a

perfect square is

2001 1036

b) 1016

None of these

13. The musing number in the series 5, 24, 12, 36,

18,54,-1

(a) 27

(5) 106 72

868

14. What is the eighth term of the sequence 1, 4, 9, 16, 25,

(a) 8:

b) 64

(c) 128

d) 200

15. Which of the following is the best approximation for the following expression,

a) 7 (b) 5 (c)3 22. A boy was asked to write 29, but he wrote 202 The namerial differma bet wom thetwois

d) 2.5

(b)1

fel 2

21. Find the number of ways in which 8064 can be resolved as the product of two factors? (a) 20 b21 e) 22 (24

24. A printer numbers the pages of a book starting

with 1 and uses 3189 digits in all How many

pages does the book have?

(a)1074 11075

e) 1000

(7.9986/0.115)-1997?

d13

(a) 15

(b) 10

(c) 10 16. For every positive real number

d) None of these

25. The first three numbers in a series are -3,0,3 the 10th number in the series will be Sa) 18 (b) 21

c) 24

(d) 27

26. If 6440 soldiers were asked to stand in rows to form a perfect square, it was found that 40 soldiers were left out. What was the number of soldiers in each row?

a) 40 (c) 64

(b) 80

(d) 60 27. 9+ 7, when divided by 8, would have a

remainder of Sarkari job : Math’s Reasoning Qus / Ans

where II is greatest integer function

(a) 0

(b) 1

(e) ix + 11

Sarkari job : Math’s Reasoning Qus / Ans

17. How many odd numbered pages are there in a

book of 1089 pages

(a) 545

(6) 544

6) 546

(d) 542

(a) 0

(b) 6

idi none of these

[29-07-2023 13:24] Priya: P

20

(

## Sarkari job

A number of three digits in sale 7 when

expressed in scale has its digte din

order The number is 149 potege whah wh 2000 gym plied

which is greater than when it i

by 1000 This positive integer i

What is the remainder left after dividing 1+2+2 100 by 77

(d) 34

41. What is the valoe af M and N respectively if

M20048468N is divisible by 8 and 11, where M and N are single digit integers? 7.8 6.4 42. How many & digit numbers can be formed by

using all the 0.27 and 5 which arenet divisible

by 76 5414 JM) 18 A 75 682 4% How can the relationship between x and y be best defined, if values of x and y are a

follows? 6 3 6 2 2 12 CREA (a)y-2x-4

Arw women. If

36. Of the 120 people is the rat

of the people are marred, then what is the

maximum oumber of women in the rom whe could he unmarried? 430 AL. If is a prime suniber greater than 3 then -1 is always die by

627 626 31 How many multiples of 3 are there among the Integers 15 to 1065 inclusive?

1a1-30 sh) 31 el 22 34. A number when divided by 765 leaves a reminder 42. What will be the remainder if the number is divided by 177

46 but not 12

shi24

44. A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be

12 but out 24 none of these

mode 18 120 d) 140 45. What least number must be subtracted from each

at How many integers between 100 and 150, both inclusive, ran be evenly divided by neither 3

(a) 116

-130

nor & 7

of the numbers 14, 17, 34 and 42 so that the remainders are proportional?

50 (b) 1 46 How many five-digit multiples of 11 are there, if the five digits are 3, 4, 5, 6 and 7 in the same order 7

c) 2

67

33

(a) 12

16) 13

1817 க 3. The smallest number by which 3600 can be divided to make it a perfect cube in (8) 50 (2) 300 (d) 450

Ich 6

(e) 10

id None of these

47. If m and a are natural number such that 2-2960, what is the value of m

a) 10 ) 16

(b) 12

id) Cannot determined 48 HCF of 3240, 3600 and a third number is 36 and

=, then what in the value of a t

their LCM is 2x35x7 The third number

10/5

(80

4035465

(a) 2x 5′ 7

(b) 237

37. What is the third term in a sequence of numbers

(c) 2-3 7 (d) 2x 5 x 7 49. If two numbers are in the ratio 6: 13 and their least common multiple is 312, then the sum of the numbers is

that leave remainders of 1, 2 and 3 when divided

by 2.3 and 4 respectively? (c) 19

(6) 17

(d) 35

38. The

least value of 3+3 is

a) 75 (6) 57 ter 76 (d) 67

2

80

(d) 2/3

Sarkari job : Math’s Reasoning Qus / Ans

50. The sum of two numbers is 462 and their higest common factor is 22 What is the maximum number of pairs that satisfy these conditions? (6) 3 a) 1

39. The highest power of 9 dividing 99! completely

(a) 20

(6) 24

(c) 22

(d) 11

(el 2 id) 6

[29-07-2023 13:25] Priya: eft after dividing

पैि

(d) 14

पॅफ इण्डिया

N respectively, it

and 11, where M

51. The LCM of two numbers is 280 and their ratio is 7 8 The two numbers are faj 70,80 (6) 42, 48 (e) 35, 40 (d) 28,32

(d) 5,4

be formed by

renot divisible

सर

Number System 17

54. The number fin 6n for natural n is always

divinble by ia G only

(b) 18 only

(e) 12 only

(d) 6 and 12

55. What is the quotient if x-1 is divided by x-17

*

arihan

(d) 82

een x and y

nd y are as

52. The LCM of two numbers in 4800 and their HCF in 160. If one of the numbers is 480, then the second number is

(a) 16 (b) 16000 (e) 160 (d) 1600 63. The numbers 1 to 29 are written side by side as follown

1234567891011 2829.

If the number is divided by 8, what is the

remainder

(6) 1

(d) None of these

E-II

Sarkari job : Math’s Reasoning Qus / Ans (a)

क्षा 2016

-1)

(a) 3

+2

पेपर 2015 के साथ ] तम परीक्षा पद्धति के अनुसार स्तरीय प्रश्नों का संकलन

### Sarkari job : Math’s Reasoning Qus / Ans

### ANSWERS

- 1. (c)
- 2. (b) 9.(a)
- 3. (a)’
- 4. (a)
- 5.(b)
- 6.(b)
- 7.(b)
- 8.(d)
- 19. (d)
- 10. (c)
- 11. (d)
- 12. (d)
- 13. (a)
- 14. (b)
- 15.(b)
- 16. (d)
- 17.(a)
- 18.(a)
- 19. (d)
- 20. (d)
- 21. (c)
- 22. (a)
- 23. (d)
- 24. (a)
- 25. (c)
- 26. (b)
- 27.(a)
- 28. (a)
- 29.(a)
- 30. (a)
- 31.(b)
- 32. (c)
- 33. (b)
- 34. (a)
- 35. (d)
- 36. (b)
- 37.(d)
- 38. (a)
- 39.(b)
- 40. (b)
- 41. (c)
- 42. (d)
- 43. (b)
- 44. (c)
- 45.(e)
- 46. (a)
- 47 (a)
- 48.(b)
- 49.ic)
- 50. (d)
- 51. (c)
- 52. (d)
- 53. (d)
- 54. (d)
- 55. (d)

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Sarkari job : Math’s Reasoning Qus / Ans