Numbers- Aptitude Questions and Answers - in Hindi

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Evaluate 743 x 999 ?


743 x 999 का मान होगा।का मान होगा।

A)

724457


B)

784527


C)

742257


D)

74257



Correct Answer :

742257


Explanation :

743 × 999
=743 × (1000 – 1)
=743000 – 743
=742257

How many three digit numbers are divisible by 5?


5 से विभाजित होने वाली 3 अंकों की कितनी संख्याएँ हैं?

A)

200


B)

180


C)

175


D)

10



Correct Answer :

180


Explanation :

smallest 3 digit number divisible by 5 is first term, a =100
common difference ,d =5
greatest 3 digit number divisible by 5 is nth term, an =995

AP(Arithmetic Progression)
an=a+(n-1)d
995=100+(n-1)5
995=95+5n
900=5n
n=180

So , the three digits number which is divisible by 5 is 180

X is a whole number. If the only common factors of X and X2 are 1 and X, then X is _______?


X एक पूर्ण संख्या है। यदि X और X2 के गुणनखंड 1 और X हैं, तो X _______ है?

A)
1

B)
a perfect square

C)
an odd number

D)
a prime number


Correct Answer :

a prime number


Explanation :

A number that is divisible only by itself and 1 is called prime number.
so here X is a prime number.

What least number must be added to 3000 to obtain a number exactly divisible by 19?


19 से पूर्णतः विभाज्य संख्या प्राप्त करने के लिए 3000 में कौन सी न्यूनतम संख्या जोड़ी जानी चाहिए?

A)
1

B)
2

C)
3

D)
4


Correct Answer :

2


Explanation :

On dividing 3000 by 19 we get 17 as remainder
Therefore number to be added = 19-17=2

means 3000+2 = 3002 is fully divided by 19
3002/19=158

Find the unit's digit in the product 2467153 * 34172?


गुणनफल 2467153 * 34172 में इकाई का अंक ज्ञात कीजिए?

A)
1

B)
3

C)
7

D)
9


Correct Answer :

7


Explanation :

2467153 * 34172
Unit's digit in the given product=Unit's digit in 7 153 * 172
Now 7 4 gives unit digit 1
7 152 gives unit digit 1
7 153 gives 1*7=7
Also 172 gives 1
Hence unit's digit in the product ,7 153 * 172=7*1=7

Find the total number of prime factors in 411 *7 5 *112 ?


411 *7 5 *112 में अभाज्य गुणनखंडों की कुल संख्या ज्ञात कीजिए?

A)
17

B)
23

C)
27

D)
29


Correct Answer :

29


Explanation :

411 *7 5 *112= (2*2) 11 *7 5 *112
= 222 *7 5 *112
Total number of prime factors=22+5+2=29

A positive number which when added to 1000 gives a sum , which is greater than when it is multiplied by 1000. The positive integer is?


एक धनात्मक संख्या जिसे 1000 में जोड़ने पर एक योग मिलता है, जो 1000 से गुणा करने पर अधिक होता है। धनात्मक पूर्णांक है?

A)
1

B)
3

C)
5

D)
7


Correct Answer :

1


Explanation :

1000+N>1000N
clearly N=1

How many numbers between 11 and 90 are divisible by 7?


11 और 90 के बीच कितनी संख्याएँ 7 से विभाज्य हैं?

A)
10

B)
11

C)
12

D)
7


Correct Answer :

11


Explanation :

The required numbers are 14,21,28,...........,84
This is an A.P with a=14,d=7
Let it contain n terms
then T =84=a+(n-1)d
=14+(n-1)7
=7+7n
7n=77 =>n=11

Find the sum of all odd numbers up to 100?


100 तक की सभी विषम संख्याओं का योग ज्ञात कीजिए?

A)
1700

B)
2200

C)
2500

D)
2800


Correct Answer :

2500


Explanation :

The given numbers are 1,3,5.........99.
This is an A.P with a=1,d=2.
Let it contain n terms 1+(n-1)2=99
=>n=50
Then required sum =n/2(first term +last term)
=50/2(1+99)=2500

How many terms are there in 2,4,6,8..........,1024?


श्रेणी 2,4,6,8............,1024 में कितने पद हैं?

A)
10

B)
14

C)
18

D)
22


Correct Answer :

10


Explanation :

Clearly 2,4,6........1024 form a G.P with a=2,r=2
Let the number of terms be n
then 2*2 n-1=1024
2n-1 =512=29
n-1=9
n=10

Find the sum of 2+22+23+24+25..........+28=?


2+22+23+24+25..........+28= का योग ज्ञात कीजिए?

A)
430

B)
440

C)
510

D)
560


Correct Answer :

510


Explanation :

Given series is a G.P with a=2,r=2 and n=8.
Sum Sn=a( r n - 1) / r-1 if |r| > 1
Sn=2(28 - 1)/ 2-1
=2*(256-1)/1
=2*255
=510

Find the number of zeros in 27! (Factorial of 27)?


27! (27 का फैक्टोरियल/क्रमगुणित) में शून्यों की संख्या ज्ञात कीजिए ?

A)
2

B)
4

C)
5

D)
6


Correct Answer :

6


Explanation :

Number of Trailing Zeros at the end of a factoria-
To determine the number of zeros at the end of a factorial, recursively divide the number by 5 until the quotient is less than 5, and sum the results after applying the greatest integer function.
For example,
8! = 40320 , the number of trailing zeros in 8! is ([8/5]=1) = 1
10! = 3628800, the number of trailing zeros in 10! is ([10/5]=2) = 2
the number of trailing zeros in 50! is ([50/5]=10) + ([10/5]=2) = 12

the number of trailing zeros in 27! is ([27/5]=5) + ([5/5]=1) = 6 zeros

Find the remainder when 231 is divided by 5?


231 को 5 से भाग देने पर प्राप्त शेषफल ज्ञात कीजिए?

A)
3

B)
4

C)
5

D)
7


Correct Answer :

270


Explanation :

210 =1024.
unit digit of 210 * 210 * 210 is 4
as 4*4*4= 64 gives unit digit 4
unit digit of 231 is 4*2= 8.
Now 8 when divided by 5 gives 3 as remainder.
231 when divided by 5 gives 3 as remainder.

In doing a division of a question with zero remainder,a candidate took 12 as divisor instead of 21.The quotient obtained by him was 35. The correct quotient is?


एक प्रश्न का भाग शून्य शेष के साथ करने में, एक उम्मीदवार ने 21 के बजाय 12 को भाजक के रूप में लिया। उसके द्वारा प्राप्त भागफल 35 था। सही भागफल है?

A)

0


B)
12

C)
13

D)
20


Correct Answer :

20


Explanation :

Number = Quotient x Divisor + Remainder
Here remainder = 0
So, Number = Quotient x Divisor

Divisor taken = 12
Quotient obtained = 35,
Remainder = 0
So, Number = (35 x 12) = 420

Now, the divisor was wrongly taken as 12 instead of 21
Number = 420,
Divisor = 21
Remainder = 0
So, for correct divisor we have
420 = Quotient x 21

So, Quotient = 420/21 = 20
The correct quotient is 20

If a number is multiplied by 22 and the same number is added to it then we get a number that is half the square of that number. Find the number?


यदि किसी संख्या को 22 से गुणा किया जाए और उसमें वही संख्या जोड़ दी जाए तो हमें एक संख्या प्राप्त होती है जो उस संख्या के वर्ग की आधी होती है। संख्या ज्ञात कीजिए?

A)

45


B)
46

C)
47

D)
48


Correct Answer :

46


Explanation :

Let the required number be x.
Given that 22*x+x = x2/ 2
23x = x2/ 2
23 = x/ 2
x = 2*23= 46
the required number is 46

Find the number of zeros in the factorial of the number 18?


संख्या 18 के फैक्टोरियल/क्रमगुणित में शून्यों की संख्या ज्ञात कीजिए?

A)

1


B)
2

C)
3

D)
4


Correct Answer :

3


Explanation :

Number of Trailing Zeros at the end of a factoria-
To determine the number of zeros at the end of a factorial, recursively divide the number by 5 until the quotient is less than 5, and sum the results after applying the greatest integer function.
For example,
8! = 40320 , the number of trailing zeros in 8! is ([8/5]=1) = 1
10! = 3628800, the number of trailing zeros in 10! is ([10/5]=2) = 2
the number of trailing zeros in 50! is ([50/5]=10) + ([10/5]=2) = 12

18! = 6402373705728000 , the number of trailing zeros in 18! is ([18/5]=3) = 3

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