Today apti question (6th oct 2014)

2, 3, 5, 16, 231, ?

a.  62005      b.  52120       c. 422       d. 53105

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Answer:


3 ^2 - 2^2 = 5

5^2 - 3^2 = 16

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231 ^2 - 16^2 = 53105

Today apti (30th sep 2014)

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child?

a. 4 yr    b. 8 yr    c. 10 yr    d. none of these

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Answer:

let the ages of children be
x, x+3 , x+6 , x+9 and x+12 years

then x+(x+3)+(x+6)+(x+9)+(x+12)= 50

5x = 20

x = 4

age of the youngest child x = 4 years
 

Today apti test (29th sep 2014)

A man has Rs. 480 in the denomination of one-rupee notes, five - rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?

a.  45  b. 60   c. 75   d. 90

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Answer:

Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30

hence the number of notes = 3x = 90
 

Today apti (24th Sep 2014)

If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate

a. Rs (xy/d)   b. Rs. (xd)   c. Rs. (yd)    d. Rs. (yd/x)

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Answer:

Cost of x metres = Rs. d.
cost of 1 metre = Rs. (d/x)
cost of y meters = Rs. (d/x * y)
        = Rs. (yd/x)
 

Today Apti (23th sep 2014)

find the sum 1, 4.5, 8, .............155?

a. 3220    b.  3510   c. 3624  d. none of these

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Answer:

The series above is an AP because  4.5 -1 = 8-4.5

common difference d = 4.5 -1 = 3.5

step 1.  find number of terms in the AP

tn = a + (n-1) d
155 = 1 + (n-1) * 3.5  ............(1)

solving (1) n =45

step 2 :

Number of terms * Average of first and last term

= 45 * (155+1)/2 = 3510


 

Today apti (22th sep 2014)

The least perfect square, which is divisible by each of 21, 36 and 66 is

a. 213444   b. 214344       c.  214434       d. 231444

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Answer:

21  = 3 * 7
36  = 2 * 2 * 3 * 3
66  = 2 * 3 * 11

LCM= 2 * 2 * 3 * 3* 7 * 11
for it to become perfect square, multiply by 7 * 11

Number = (2 * 2 * 3 * 3* 7 * 11) * 7*11 =213444
 

Today apti (19th sep 2015)

how many ways can 4 prizes be given away to 3 boys. if each boy is eligible for all the prizes?

a. 256   b. 12     c. 81  d. none of these

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Answer:

First prize can be given to one of the 3 boys. so total number of ways of giving out prizes in 3 ways. similarly all other prizes have 3 ways in which they can be given out.

so total = 3 * 3 * 3 * 3  = 81 ways

Today apti (18th sep 2014)

A's mother's father is the husband of B's mother. How is A related to B, if A and B are both male.

a.  uncle     b. father      c. nephew      d. brother

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Answer:

A's mother's father is the husband of B's mother. That means A's mother is the sister of B. Hence A is the nephew of B.

So answer is Nephew
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Today Apti (17th sep 2014)

A century cannot end with which day?

a. sunday   b. wednesday  c. tuesday    d. friday

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Answer:

Tuesday

Last day of a century cannot be tuesday or thursday or saturday.

Today Apti (16th sep 2014)

Identify the odd term in the series:

6, 9, 15, 21, 24, 28, 30

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a. 6     b. 15   c. 28      d. 30

Answer:

each of the number except 28, is a multiple of 3

so answer is 28
 

Today Logical Reasoning (15th sep 2014)

A's father is B, C is the father of B and D is A's mother, then how is C related to D?

a. Father   b. Grandfather  c. Father-in-law    d. Uncle

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Answer:

A's father is B. C is father of B (C is A's grandfather). D is A's mother so D must be B's wife. so C, who is B's father is Father - in -law of D (B's Wife)

So Answer Father-in-law

Today apti (13th Sep 2014)

Find ODD MAN OUT

8 , 27 , 64, 100 , 125 , 216 , 343

a. 27     b.100     c.  125    d. 343

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 Answer:
The pattern is 2^3, 3^3, 4^3, 5^3, 6^3, 7^3

But 100 is not a perfect cube

So answer is 100
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Today Apti ( 12th sep 2014)

3 pumps working 8 hours a day, can empty a tank in 2 days. how many hours a day must 4 pumps work to empty the tank in 1 day?

a. 9  b.  10  c. 11  d. 12

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Answer:

Let the required number of working hours per day be x
More pumps, less working hours per day (indirect proportioin)

Less day, more working hours per day (indirect proportion)

pumps 4 : 3     
               =8 :x
days 1 :2   

so 4 x 1 x x = 3 x 2 x 8

= x= ( 3 x 2 x 8 ) / 4
x = 12
 

Today apti ( 11th sep 2014)

In the first 10 overs of a cricket game, the run rate was only 3.2 what should be the run rate in the ramaining 40 overs to reach the target of 282 runs?

a. 6.25     b.  6.5    c.  6.75   d. 7

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Answer:

Required run rate

= ( 282 - (3.2 x 10 ) ) / 40
= 250/40
= 6.25

Today Apti (10th sep 2014)

It was sunday on Jan 2006, what was the day of the week Jan 1, 2010?

a. sunday  b. saturday   c. friday    d. wednesday

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Answer:
on 31st December 2005. It was sunday
Number of odd days from the year 2006 to the year 2009

= (1+1+2+1) = 5 days

on 31st December 2009. It was Thursday Thus on 1st Jan, 2010 is Friday

Today Apti (9th sep 2014)

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child?

a.  4 yrs       b. 8 yrs.    c. 10 yrs      d. none of these

Post your answers through comment........

Answer :

let the ages of children be x, x+3, x+6, x+9 and x+12 years

Then x + (x+3) + (x+6) + (x+9) + (x+12)=50
5x= 20
x= 4

age of the youngest child x = 4 years
 

Today apti (8th sep 2014)

Complete the Number series..

220, 218, 214, 208, 200, 190,?

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Answer:

220 -2 =218
218 -4 = 214
214 -6 = 208
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.
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190 - 12 = 178
 

ALGEBRA - Important forumala

Sum of first n natural numbers = n (n+1)/2
Sum of the squares of first n natural numbers = n(n+1)(2n+1)/6
Sum of the cubes of first n natural numbers = [n(n+1)/2]^2
Sum of first n natural odd numbers = n^2
Average = (sum of items)/ (number of items)

Today Apti....(4th Sep 2014)

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

a. 144 degree
b. 150 degree
c. 168 degree
d. 180 degree

Post your answer through comment.....

Ans:

Opion D.

Angle traced by the hour hand in 6 hours = (360/12 x 6) degree = 180 degree

(2nd Sep 2014)

Complete the Number series....

18, 46, 94, 63, 52,...........

Answer :

61

Reason : 9 ^ 2 = 81 take reverse = 18

8 ^ 2 = 64 take reverse = 46
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so ans is 4 ^2 is = 16 so answer is 61