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Numbers Questions

Home > Quantitative Aptitude > Numbers > General Questions
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In school there are some bicycles and 4 wheeler wagons. One Tuesday there are 58 wheels in the campus. How many bicycles are there?


A2

BBoth C & D

C5

D7

Answer: Option B

Explanation:

Let there are B bicycles and W wagons.



Total number of wheels = 2 × B 4 × W



Given 58 wheels ⇒ 2B 4W = 58



⇒ B 2W = 29 …… (Eq.1)



Also given B W = 18 …… (Eq.2)



∴ Eq.1 – Eq.2



⇒ W = 11



⇒ B = 18 – W



⇒ B = 18 – 11 = 7 Bicycles.

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137
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Which is the smallest no divides 2880 and gives a perfect square?


A1

B2

C5

D6

Answer: Option C

Explanation:

Solution: Do option verification



2880 on dividing by 5 gives 576 which is 24^2



 

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41
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The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?


A54

B64

C265

D192

Answer: Option D

Explanation:

0 - 77 we have 16 3's.

1-277 & 400 - 777 we have 96 3's.

in between 300 - 377 we have 63 3's.

adding all we have 192. 

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If f(x) is divided by (1+x)(1-x). What is the value of x?


A+-1

B+-2

C+-3

D0

Answer: Option A

Explanation:

(1+x)(1-x)
=1-x^2
If f(x) is divisible comletely by (1-x^2) then the value of 1-x^2 must be zero
x^2=1
x=+-1

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How Many no Between 1000 to 9900 in which four digits of number are different?


A3454

B4536

C4456

D4434

Answer: Option B

Explanation:

Number of 4 digit numbers having all different digits = 9*9*8*7 = 4536
smallest number : 1234, largest number : 9876, all are between 1000 and 9900.

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For what value of "k" will the equation (2kx^2 + 5kx +2)=0 have equal roots?


A2/7

B9/4

C16/25

D7/1

Answer: Option C

Explanation:

For a 2nd degree equation "ax2+bx-c=0" has equal roots the condition is b2-4ac =0
So in the given equation (2kx^2 + 5kx +2)
a=2k, b=5k, c=2

=> (5k)^2-4(2k)(2)=0
=> 25k^2-16k=0
=>k(25k-16)=0
=> k=16/25;

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An elephant fell into a wall of depth 20mts.Everyday it climbs 4mts but at the end falls by 2mts.Find the number of days it would take for the elephant to get out of the wall


A10 days

B7 days

C9 days

D8 days

Answer: Option C

Explanation:

Solution: Net displacement of the elephant per day= 4-2=2mtr.



So if he climbs 8 days then he will cover 16m 



On the 9th day when he will climb 4m then he will be out of the well. 



Hence answer is 9 days.

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In a fraction, if numerator is added by 2 and denominator by 1 it results 1, and if numerator added again by 4 and denominator by 2 it results 1/2. Find the fraction?


A7/8

B8/9

C2/7

D7/2

Answer: Option B

Explanation:

Lets assume numerator=x and denominator=y.



So (x+2/y+1)=1 (by first condition)



=> x-y+1= 0 ------(1)



(x+6)/(y+3) = 1/2 (by second condition)



=> 2x+12= y+3 =>2x-y+9 = 0 ------(2)



By solving eq(1) and eq(2), we get x/y = 8/9.

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In a 2 digit no unit's place is halved and tens place is doubled. The differencce between the nos is 37.digit in unit's place is 2 more than tens place.


A23

B37

C64

D46

Answer: Option D

Explanation:

Lets assume tenth place digit be x & unit place be y.
So no. is = 10x + y.
Given unit place is halved and tens place is doubled.
so number will be = (10*2x + y/2).

Then Difference:
=> 10*2x + y/2 -(10x+y) = 37 .
=> 10x - y/2 = 37 .....(1)
and y-x = 2 .....(2)

By solving above 2 eq.
x=4 and y=6.
So required number is 46.

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A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit?


A4

B9

C3

D7

Answer: Option A

Explanation:

Let the digit unknown be n.
The given number is then 900+50+n=950+n.

When reversed the new number is 100n+50+9=59+100n.
Subtracting these two numbers we get 891-99n.
The digit can be arranged in 3 ways or 6 ways.
We have already investigated 2 of these ways.
We can now try one of the remaining 4 ways. One of these is n 95
100*n+90+5=891-99*n
=> 199*n =796
=> n=4
So the other digit is 4.

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