Numbers Questions Answers

• 15. What least number should be added to 1056, so that the sum is completely divisible by 23

  1. 4
  2. 1
  3. 2
  4. 3

  Answer :

  Option C

  Explanation:

  (1056 / 23) gives remainder 21
  
  21 + 2 = 23, So we need to add 2

• 16. All prime numbers are odd numbers

  1. True
  2. False
  3. gross ignorance
  4. cultural heritage
  5. socio-political conditions
  6. mentality

  Answer :

  Option E

  Explanation:

  It is false, 2 is an even number

• 17. 6897 is divisible by

  1. 11 only
  2. 19 only
  3. both 11 and 19
  4. neither 11 nor 19

  Answer :

  Option C

• 18. How many terms are there in 2,4,8,16,....,1024

  1. 7
  2. 8
  3. 9
  4. 10

  Answer :

  Option D

  Explanation:

  It is a GP. with r = 2, ie \begin{aligned} 2^1, 2^2, 2^3... \end{aligned}
  If number of terms is n. Then,
  \begin{aligned} 2 \times 2^{n-1} = 1024 \end{aligned} =>
  \begin{aligned} 2^{n-1} = 512 \end{aligned}
  or \begin{aligned} 2 \times 2^{n-1} = 2^9 \end{aligned}
  so n-1 = 9 => n = 10

• 19. What least value should be replaced by * in 223*431 so the number become divisible by 9

  1. 3
  2. 4
  3. 5
  4. 6
  5. Only conclusion I follows
  6. Only conclusion II follows
  7. Either I or II follows
  8. Neither I nor II follows
  9. Both I and II follow

  Answer :

  Option F

  Explanation:

  Trick: Number is divisible by 9, if sum of all digits is divisible by 9, so (2+2+3+*+4+3+1) = 15+* should be divisible by 9,
  15+3 will be divisible by 9,
  so that least number is 3.

• 20. What least number must be subtracted from 427398 so that remaining number is divisible by 15

  1. 3
  2. 5
  3. 7
  4. 9
  5. will take place if the children imbibe action and feeling.
  6. will take place if the children are physically strong.
  7. is not provided in our schools today
  8. comes through the interaction with social situations
  9. comes from the self-centered approach of the students

  Answer :

  Option

  Explanation:

  On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted

• 21. \begin{aligned}
  46^2 - (?)^2 = 4398 - 3066
  \end{aligned}

  1. 23
  2. 18
  3. 38
  4. 28

  Answer :

  Option D