Aptitude ALL Questions For Placement

 

1. Find the number of factors of 120.

(a) 16     (b) 12    (c) 8       (d) 10

2. Find the unit digit of 23541048

(a) 4 (b) 6 (c) 8 (d) none of these

3. When a two digit number is reversed it gets decreased by 72, what is the number?                                 

(a) 81 (b) 72 (c) 91 (d) 64

4. Find the number of zeroes in 154!

(a) 35 (b) 31 (c) 34 (d) 37

5. Find the first non zero digit in 100!

(a) 6 (b) 8 (c) 4 (d) 3

6. Find the unit digit of 2481587.

(a) 2 (b) 4 (c) 8 (d) 6

7. Rahul scored 78, 56 and 89 marks in Science, Social and Mathematics. Later it was found that his marks were reversed and entered. How much marks should be added to get correct total?                       

(a) 18 (b) 24 (c) 27 (d) 15

8. If all the 3 are replaced by 6, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by ____.

(a) 500 (b) 360 (c) 450 (d) 330

9. Find the sum of the factors of 1000

(a) 2340               (b) 1560               (c) 1540               (d) 1280

10. How many ways 120 can be written as a product of two factors?

(a) 12     (b) 6       (c) 8       (d) 10

11. How many ways 1000 can be written as a product of two co-prime factors?

(a) 2       (b) 4       (c) 8       (d) 16

12. Find the maximum power of 6 in 66!

(a) 31     (b) 29    (c) 24     (d) 33

13. Find the unit digit in the expression of 23234 * 127374

(a) 1       (b) 3       (c) 9       (d) 7

14. Find the unit digit in the expression of 1!1! + 2!2! + 3!3! + ….+ 99!99!

(a) 7       (b) 1       (c) 6       (d) 5

15. Find x, if 23475x84 is divisible by 9

(a) 3       (b) 5       (c) 6       (d) 1

16. Find the unit’s digit of the expression of 127726

(a)1        (b)3        (c)7        (d)9

17. Find the last digit of the expression 1728 × 1247 × 2832015.

(a) 1       (b)3        (c)8        (d)6

18. Find the last two digits of the result 19412015 × 19912025

(a) 41     (b) 01    (c) 51     (d) 21

19. Ajay has nine thousand two hundred and sixteen chocolates. How many ways can he distribute the chocolates to his friends equally?

(a) 24     (b) 32    (c) 33     (d) 48

 20. Vinay has to multiply a number by 53, instead he did with 35. As a result the product went down by 1350. Then what was the original product?

(a) 4075               (b) 3750               (c) 3975               (d) 4225

21. If 1<N<100, N is not a prime and also N is not divisible by 2, 3, 5 and 7. Then how many possible values can N take?

(a) 0       (b) 1       (c) 3       (d) 10

22. If 1<N<150, and sum of the divisors of N and N2 is 34. Find the no of possible values of N.                  

(a) 0       (b) 1       (c) 2       (d) 4

23. How many trailing zeroes will be there in the result of 2412 × 12518 × 4020 × 2516?                                  

(a) 96     (b) 106  (c)104    (d) 102

24. A two digit number  is multiplied by another two digit number which is exactly the reverse of the former one. The result of the product is 2268. Find the greatest among the two digit numbers.                

(a) 42     (b) 73    (c) 63     (d) 74

25. What least number must be subtracted from 427398 so that the remaining number is divisible by 9?              

(a) 3       (b) 6       (c) 9       (d) 8

26. The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 5 in each case, is:

(a) 185  (b) 365  (c) 105   (d) 125

27. If n is a whole number, then n3(n3 - 1) is always divisible by                                                                       

(a) n       (b) (n-1)               (c) n(n-1)             (d) All the above

28. A number is divided by 221, the remainder is 64. If the number be divided by 13 then remainder will be

(a) 11     (b) 12    (c) 1       (d) 64

29. The highest number which will always divide the product of four consecutive even numbers is         

(a) 256  (b) 120  (c) 384 (d) 512

30. Find the number of positive integers less than 105 which are not divisible by 3,5 and 7.                                       

(a) 24     (b) 48    (c) 56     (d) 64

 

 

 1. Find the LCM of 12, 15, 72 and 75

(a) 1800 (b) 1500 (c) 1440 (d) 1040

2. 6 bells of a Church toll at different intervals of 5seconds, 8 seconds, 10 seconds, 6 seconds, 12 seconds and 15 seconds respectively. If they toll together at 12 noon, how many times will they toll together till 1 pm?

(a) 15 times (b) 20 times (c) 31 times (d) None of these

3. If HCF and LCM of two numbers 15 and 1440 respectively, one of the numbers is 75 find the other number.

(a) 240 (b) 288 (c) 250 (d) 285

4. If 24586 and 22584 both leaves a same remainder when divided by a divisor which of the following can be the maximum possible value of the divisor?

(a) 143 (b) 77 (c) 91 (d) 2

5. What two numbers have a product of 48 and, when the larger number is divided by the smaller, a quotient of 3?

(a) 4 and 12 (b) 6 and 12 (c) 6 and 12 (d) 5 and 10

6. Find the remainder when 171054 is divided by 15.

(a) 4 (b) 11 (c) 12 (d) 13

7. Find the remainder when 2145123 is divided by 6.

(a) 0 (b) 3 (c) 4 (d) 5

8. Find the remainder when 234! is divided by 560.

(a) 2 (b) 0 (c) 1 (d) 13

9. Find the HCF 2/4, 10/8, 4/12, 6/15

(a) 1/60 (b) 12 (c) 2/56 (d) 4/60

10. A group of friends goes for dinner and gets bill of Rs 2400. Two of them says that they have forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the no. of person in that group.

(a) 8 persons (b) 7 persons (c) 12 persons (d) None of these

 

11. Find the remainder when 3969 is divided by 7.

(a) 1       (b) 3       (c) 6       (d) 5

12. What is the remainder when 289 is divided by 89?

(a) 0       (b)1        (c) 2       (d) 3

13. Find the remainder when 13^3+14^3+15^3+16^3 is divided by 29.

(a) 0       (b) 1       (c) 2       (d) 3

14. When P is divided by 35 it leaves a remainder of 17. When the same number P is divided by 7, what will be the remainder?

(a) 0       (b) 1       (c) 2       (d) 3

15. After the division of a number successively by 3,4 and 7 the remainder obtained is 2,1 and 4 respectively. What will be the remainder if 84 divide the same number? 

(a) 23     (b) 43    (c) 53     (d) 63

16. When a number ‘N’ is divided by 2, 5, and 7 successively, it leaves a remainder 1, 3 and 5 respectively. What is the least possible value can N take?

(a) 47     (b) 57    (c) 55     (d) 49

17. What is the remainder, when N=123456789101112…….4481 is divided by 36?

(a) 12     (b) 9       (c) 35 (d) 0

18. 1×1! + 2×2! + 3×3! + ……. + 10×10! = P. Find the remainder when P+2 divided by 11.

(a) 1       (b) 0       (c) 10     (d) 2

19. HCF and LCM of two numbers given as 8 and 120. If one of the two numbers is 24, find the other number.

(a) 20     (b) 30    (c) 40     (d) 48

20. A temple has seven bells which tolls at different intervals of time as follows 8, 10, 20, 12, 30 and 25 (All values in seconds) respectively. If they starts toll together, how many times they toll in 30 minutes. (a) 2        (b) 3       (c) 4       (d) 5

 

21. In a party, there are four different cold drinks available. Namely 3 litres of coca cola, 5 litres of sprite,  4 litres of pepsi and  6 litres of slice. If we want to serve maximum amount of cold drinks to each one of the guest, how many guest can we serve?

(a) 516  (b) 216  (c) 603   (d) 504

22. What is the maximum possible four digit number which is divisible by 20, 30, 45 and 24?                    (a) 9900               (b) 9720               (c) 9460               (d) 9260

23. The least number that must be subtracted from 1291 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 4 is:

(a) 0       (b) 1       (c) 2       (d) 3

24. A number is divided by 84, we get 7 as remainder. On dividing the same number by 12, what will be the remainder?

(a) 10     (b) 11    (c) 7       (d) 0

25. What will be the remainder when 6^17+17^6 is divided by 7?

(a) 0       (b) 1       (c) 6       (d) 4

26. The maximum number of students  among them 616 pens and 840 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

(a) 8       (b) 11    (c) 12     (d) 26

27. A number when divided by 2,3,4,5 and 6 leaves the remainder 1,2,3,4 and 5 respectively and also completely divisible by 7. Find the least possible value of the number.

(a) 154  (b) 763  (c) 119 (d) 49

28. Find the remainder when 234234! is divided by 12.

(a) 0       (b) 1       (c) 6       (d) 11

29. Find the remainder when 1212 is divided by 15.

(a) 12     (b) 9       (c) 3       (d) 6.

30. Find the remainder when 97^96 is divided by 98.

(a) 1       (b) 0       (c) 95     (d) 97

 

 

 

 

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