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Numbers Questions

Home > Quantitative Aptitude > Numbers > General Questions
NA
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A number when divided successively by 4, 5, and 6, leaves remainders 2, 3 and 4 respectively. The least such number is:

A50

B53

C58

D214

Explanation:

58 is the answer because 58/4=2, 58/6=4 and 58/5=3.the least number is 58.

Workspace

NA
SHSTTON
74
Solv. Corr.
123
Solv. In. Corr.
197
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A number, when divided by 296, gives 75 as the remainder. If the same number is divided by 37 then the remainder will be

A1

B2

C19

D31

Explanation:

If the first divisor is a multiple of second divisor, the remainder obtained by dividing the same number by second divisor = remainder obtained by dividing the first remainder by the second divisor.
Here, 296/37 = 8
So required remainder = Remainder obtained by dividing 75 by 37 = 1

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SHSTTON
154
Solv. Corr.
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Solv. In. Corr.
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The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be

A1/3

B1/5

C12/35

D35/15

Explanation:

x+y = 12............(1)
xy = 35 ............(2)

so (x+y)/xy = 1/y+1/x = 12/35

Workspace

NA
SHSTTON
58
Solv. Corr.
94
Solv. In. Corr.
152
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Two numbers are such that their difference, their sum and their product arc in the ratio of 1:7:24. The product of the numbers is:

A24

B48

C36

D60

Explanation:

(x-y) : (x+y) : xy= 1:7:24 = 2:14:48
so Number = 8 and 6

Workspace

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SHSTTON
26
Solv. Corr.
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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

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.

Workspace

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SHSTTON
166
Solv. Corr.
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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

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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112
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Solv. In. Corr.
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How Many no Between 1000 to 9900 in which four digits of number are different?

A3454

B4536

C4456

D4434

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.

Workspace

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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

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

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.

Workspace

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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

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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