## Number System - Quantitative Aptitude

Question 1 |

340 students are arranged in a parade such that the number of students in each column is the same as the number of columns. Find how many students are excluded from the group to make such an arrangement possible.

14 | |

16 | |

21 | |

24 |

Question 2 |

P and Q are only two odd numbers with P > Q. The largest even integer which divides P

^{2 }-Q^{2}is :2 | |

6 | |

8 | |

4 |

Question 3 |

Find the total number of prime numbers lying between 120 and 140.

3 | |

4 | |

5 | |

6 |

Question 4 |

For any natural number n(5

^{2n+2}– 24 n – 25) is divisible by :**Related:** JEMAT Entrance Exam

576 | |

510 | |

50 | |

25 |

Question 5 |

The smallest whole number by which 79633125 must be multiplied for the product to be a perfect square is :

3 | |

5 | |

11 | |

13 |

Question 6 |

M and N are only two even numbers with M > N. The largest even integer which divides M

^{2 }-N^{2}is :4 | |

2 | |

8 | |

10 |

Question 7 |

The smallest number which must be added to 803642 in order to obtain a multiple of 9 is

5 | |

6 | |

3 | |

4 |

Question 8 |

If n is even number, then n(n

^{2 }+ 10) is always divisible by:6 | |

10 | |

4 | |

28 |

Question 9 |

Which of the following is divisible by 9?

1754 | |

1770 | |

1779 | |

1278 |

Question 10 |

If a number is divisible by 2 and 3 both, then it is necessarily divisible by :

6 | |

9 | |

12 | |

8 |

Question 11 |

5/8 th of 120% of a number is 235 more than 245. Find that number.

523 | |

684 | |

576 | |

640 |

Question 12 |

If the six digit number 4A52B6 is divisible by 2 as well as 3, then the number AB is :

12 | |

22 | |

20 | |

21 |

Question 13 |

In an exam, a student was asked to find 5/7 of a number. By mistake, she found 7/5 of it. Her answer was 96 more than the correct answer. The given number is

196 | |

128 | |

140 | |

156 |

Question 14 |

4/5

^{th}of a number exceeds its 2/3^{rd}of 9/10^{th}by 120. Find the number.**Related:** Railway Recruitment Sample Papers

800 | |

600 | |

140 | |

660 |

Question 15 |

A sum is divided between Rajiv and Raghav such that 5/6

^{th}of the amount of Rajiv is equal to 4/5^{th}the amount of Raghav. If Rajiv gets Rs. 240, find the sum.Rs. 400 | |

Rs. 500 | |

Rs. 250 | |

Rs. 490 |

Question 16 |

The number of terms in the sequence 2, 9, 16,23 …………….338 is

49 | |

46 | |

45 | |

48 |

Question 17 |

The largest number, which on dividing by 27, 77, and 202 leaves equal remainder in each case, is :

7 | |

25 | |

23 | |

8 |

Question 18 |

If n is odd, n(n

^{2}-1) is always divisible by :20 | |

24 | |

32 | |

18 |

Question 19 |

If the number 42573* is completely divisible by 72, then which number should replace the asterick(*)?

9 | |

7 | |

5 | |

6 |

Question 20 |

If the square of a number of two digits is subtracted from the square of the number formed by interchanging the digits, the largest number by which the result is always divisible is :

11 | |

99 | |

9 | |

15 |

Question 21 |

What is the least number which when divided by 26, 34, 47, 58, and 112 leaves the remainder 16, 24, 37,48, and 102 respectively?

55326485 | |

53282246 | |

53582246 | |

58565452 |

Question 22 |

The value of x, when 2

^{x+4}. 3^{x+1}= 2880 | |

–1 | |

1 | |

None of these |

Question 23 |

The largest natural number which exactly divides the product of any four consecutive natural numbers, is :

6 | |

12 | |

24 | |

120 |

Question 24 |

A box contains 44 more than 1/5

^{th}of total number of oranges. How many oranges are there in the box?66 | |

55 | |

33 | |

65 |

Question 25 |

The total marks secured by Amit, Bhuvnesh and Chander are 540. Amit's marks were three times that of Bhuvnesh's and Bhuvnesh 's marks were twice that of Chander Amit's marks are how much more than those of Chander ?

286 | |

154 | |

300 | |

265 |

Question 26 |

Find the least number which when divided by 6, 9, 12, 15, and 18 leaves the same remainder 2 in each case.

182 | |

185 | |

184 | |

135 |

Question 27 |

The traffic lights at 3 different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m. then the next change will appear after

7 m 18 sec | |

7m 12 sec | |

7 m 16 sec | |

7 m 14 sec |

Question 28 |

A sum of Rs. 9.00 is made up of 90 coins which are either 20 Paise or 5 Paise coins. The number of 5 Paise coins are ?

30 | |

60 | |

40 | |

50 |

Question 29 |

Three Burger and a sandwiches cost Rs. 70 and 2 sandwiches and a Burger cost Rs. 40. How much will a Burger and a sandwiches cost?

Rs. 20 | |

Rs. 10 | |

Rs. 30 | |

Rs. 40 |

Question 30 |

Sum of two numbers is 1/3

^{rd}of 1/5^{th}of 195 and their product is 1/6^{th}of 1/4^{th}of 960. Find 1/3^{rd}of the difference between them.9 | |

27 | |

1 | |

3 |

Question 31 |

If a number consists of units digit as

*6*and the ten’s digit as*5*, such a number is:506 | |

65 | |

605 | |

56 |

Question 32 |

There are four composite numbers written in ascending order of magnitude. If the product of the first three is 192 and the last three is 432, then the first number is:

6 | |

8 | |

4 | |

2 |

Question 33 |

9876543210 is divisible by :

5, 9 but not by 11 | |

11 and 5 but not by 9 | |

5, 9 and 11 | |

9 and 11 but not by 5 |

Question 34 |

The total age of 9 girls is 128. The total age of the first 4 girls is 62 and that of the next 4 girls is 48. Find the age of the 9th girls.

12 | |

18 | |

17 | |

16 |

Question 35 |

Two candies and a cookie cost Rs. 18 and two cookies and a candy cost Rs. 12. Find the cost of a candy.

6 | |

16 | |

8 | |

2 |

Question 36 |

24 is divided into two parts such that 6 times the first part exceeds 4 times the second part by 4. Find the first part.

14 | |

16 | |

12 | |

10 |

Question 37 |

7/8 th of a number exceeds its 7/16 th by 84. Find 3/4

^{th}of the number.192 | |

204 | |

144 | |

138 |

Question 38 |

The tenth term of 8, 15, 22, 29,………..

91 | |

81 | |

51 | |

71 |

Question 39 |

A number when successively divided by 2, 5, 9 leaves 2, 3 and 4 as remainders respectively. If the number be divided by 9, 5 and 2 respectively, the respective remainders will be :

2, 4, 3 | |

4, 3, 2 | |

3, 4, 2 | |

4, 2, 3 |

Question 40 |

If a number consists of units digit as

*a*and the ten’s digit as*b*, such a number is:b + a | |

10a + b | |

bx | |

10b + x |

Question 41 |

In a country, 5/9

^{th}of the population are adults.1/2 of the adults are male, 3/5^{th}of the adult females are illiterate. If 800 adult females are illiterate, then the population of the village is**Related:** Logical Reasoning Sample Papers

9,000 | |

5,600 | |

4,800 | |

4,000 |

Question 42 |

The next number in the sequence 4/41, 5/51, 6/61, 7/71, is

8/81 | |

8/75 | |

8/78 | |

9/81 |

Question 43 |

If n is even, n(n

^{2}-1) is always divisible by :15 | |

17 | |

6 | |

8 |

Question 44 |

The sum of 11 results is 55. The sum of the first 6 results is 30 and that of the last 6 is 48. Find the sixth result.

**Related:** SSC Sequence of Words Questions

20 | |

23 | |

13 | |

24 |

Question 45 |

What is the least number which when divided by 16, 20, 32, 42, and 50 leaves the remainder 12, 16, 28,38, and 46 respectively?

10256 | |

10396 | |

11396 | |

12546 |

Question 46 |

If a four digit number 2AB5 ( A and B digits ) is divisible by 9, then the number AB is :

44 | |

24 | |

13 | |

38 |

Question 47 |

If (2158)

^{258}is multiplied out, the units’ digit in the product is:4 | |

5 | |

6 | |

3 |

Question 48 |

The largest natural number by which the product of three consecutive odd numbers is always divisible is :

10 | |

35 | |

15 | |

25 |

Question 49 |

At an election, a candidate who gets 3/4

^{th}of the total votes, is elected by a majority of 2000 votes. The total number of votes polled and the number of votes secured by the candidate who was elected, are respectively5000, 3000 | |

4000, 3000 | |

4500, 2500 | |

8000, 6000 |

Question 50 |

One-third of the total marks are required to pass an exam. A candidate who gets 178 marks, fails by 22 marks. The total marks in the exam are

535 | |

660 | |

600 | |

550 |

Question 51 |

A sum is divided between Vijay and Aman such that3/5

^{th}of the amount of Vijay is equal to5/7^{th}of the amount of Aman. If Vijay gets Rs. 750, how much does Aman get?Rs. 600 | |

Rs. 450 | |

Rs. 630 | |

Rs. 730 |

Question 52 |

If a number, of two digits, is 2 times the sum of its digits, the number formed by interchange the digits is equal to sum of the digits multiplied by :

9 | |

4 | |

8 | |

1 |

Question 53 |

The amount that Satheesh had was Rs. 675 more than 3/5

^{th}of 1/9^{th}of Rs. 450. Find the amount.Rs. 705 | |

Rs. 625 | |

Rs. 605 | |

Rs. 700 |

Question 54 |

The smallest number which must be subtracted from 1300 to make it a perfect square is

6 | |

4 | |

2 | |

3 |

Question 55 |

When 6 is added to a number and the sum is multiplied by 8, the result is same as when 26 is multiplied by 10 and 12 is added to the product. The number is

**Related:** SSC CPO Sample Paper

28 | |

26 | |

23 | |

25 |

Question 56 |

Each student in a class contributed as many paise as the number of students in the class. The teacher contributed Rs. 13 to make the total collection of Rs.49. How many students are there in the class?

65 | |

70 | |

50 | |

60 |

Question 57 |

If (21567)

^{125}is multiplied out, the units’ digit in the product is :1 | |

7 | |

5 | |

3 |

Question 58 |

If (874516)

^{145689}is multiplied out, the units’ digit in the product :6 | |

1 | |

3 | |

4 |

Question 59 |

If 5

^{x–3}= 1, then the value of*x*is1 | |

3 | |

0 | |

2 |

Question 60 |

A number when divided by 136 leaves 36 as remainder. If the same number is divided by 17, what will be the remainder:

2 | |

3 | |

5 | |

15 |

Question 61 |

If a and b are whole numbers such that a

^{b}= 169. The value of (a-3)^{b-1}is :13 | |

169 | |

1 | |

10 |

Question 62 |

In a school library,1/2 of the books are story books, 2/3

^{rd}of the remaining books are reference books and the remaining 250 books are encyclopaedias. Find the total number of books in the library.1,200 | |

750 | |

2,000 | |

1,500 |

Question 63 |

In an exam, a student was asked to find 4/5

^{th}of a number. By mistake, he found 5/4^{th}of it and his answer was180 more than the correct answer. Find the given number.810 | |

400 | |

500 | |

890 |

Question 64 |

The number of students in a school are 1125 more than 1/4

^{th}of it. Find the total strength.1750 | |

2000 | |

1500 | |

1225 |

Question 65 |

The sum of three consecutive even integers is 132. Find the difference between 3 times the least and 1/2 of the greatest.

44 | |

144 | |

89 | |

103 |

Question 66 |

A water tank having 1300 litres of capacity was filled by adding 75 litres of water and as many buckets of water as each bucket had a capacity. What was the capacity of each bucket in litres ?

32 | |

48 | |

35 | |

45 |

Question 67 |

The least multiple of 9 which leaves a remainder 7 when divided by 9 or 13 or 15 is :

4212 | |

4102 | |

4402 | |

4302 |

Question 68 |

The seventh term of 112, 140, 168, …………..

280 | |

270 | |

300 | |

250 |

Question 69 |

If 3

^{th}power of 9 is subtracted from 6^{th}power of 2, then the digit in 10s place is9 | |

7 | |

8 | |

6 |

Question 70 |

The next number in the sequence 1/22,4/25, 9/28, 16/31, 25/34, is

**Related:** India's Best MBA Colleges List

36/37 | |

30/37 | |

28/35 | |

36/35 |

Question 71 |

The least multiple of 5 which leaves a remainder 5 when divided by 6 or 10 or 15 is :

155 | |

162 | |

153 | |

152 |

Question 72 |

The least number which leaves remainders 2, 3, 4, 5 and 6 on dividing by 3, 4, 5, 6 and 7 respectively, is:

**Related:** Simple and Compound Interest Quiz

426 | |

421 | |

419 | |

412 |

Question 73 |

The least perfect square, which is divisible by each of 21, 36 and 66 is

214344 | |

231444 | |

214434 | |

213444 |

Question 74 |

The sum of four consecutive numbers is 90. Find the difference between five times the third number and 4 times the fourth number.

19 | |

21 | |

24 | |

29 |

Question 75 |

The number of terms in the sequence 5, 9, 13, …………….189 is

48 | |

47 | |

46 | |

45 |

There are 75 questions to complete.

Sir number system aur number series ek he hota ha ya alag

Number series is reasoning and number system is quantitative part