Aptitude and Reasoning Questions

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

Let Althaf lent Rs. A at 14% per year.
Hence, Money lent at 12% = (1500-A);
Given, total interest = Rs. 186.
{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;
14A/100 + (18000 -12A)/100 = 186;
14A + 18000 - 12A = 186x100;
2A = 18600-18000;
A = 600/2 = Rs. 300.
Hence, money lent at 12% = 1500-300 = Rs. 1200.

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

1. ANSWER : D 

Explanation -  Clearly the exports are more than the imports implies that the ratio of value of imports to exports in less than 1. So years are 1995, 1996, 1997 and 2000. So these are four years 

2. ANSWER : A 

Explanation - Clearly from the line graph we can judge it is minimum in year 1997.

3. ANSWER : C 

Explanation -  We are given with the ratio of imports and exports in the line graph.
Let the exports from the company in 1996 was x then, 

272/x = 0.85 

=> x = 272/0.85 

=> x = 320

Note: Please not that we are given the ratio of imports to exports, so export will will in denominator .

4. ANSWER : D 

Explanation - For calculating the percentage we will need value of exports, imports etc. We are only given with the ratio. So data in Inadequate.


Note: Please note in charts questions, most probably it includes 1 or more than 1 questions which are percentage based. So please clear percentage questions before preparing it. Because this is very scoring section.

5. ANSWER : B 

Explanation - The Ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively. Let the exports in the year 1998 = Rs. x crores
Then,the exports in the year 1999 = (500-x) crores

=> 1.25 = 250/x [because 1.25 is 1998 ratio]

=> x = 250/1.25 = 200 crore

Thus the exports in the year 1999 were 500 - 200 = 300 crore

Let the imports in the year 1999 = Rs y crore 

Then 1.40 = y/300 

=> y = 1.40 x 300 = 420 crore

In the given series 1 4 9 16 22 36

1 = 1 x 1 

4 = 2 x 2

9 = 3 x 3

16 = 4 x 4

25 = 5 x 5 (Not 22)

36 = 6 x 6

Hence, the odd man in the series is 22.

Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.
So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other.

So totally they met 3 times in opposite direction.