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Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?

A) 25 m	B) 21 m
C) 22 m	D) 19 m

Answer & Explanation Answer: A) 25 m

Explanation:

A:B = 200 : 169
A:C = 200 : 182
$\frac{C}{B} = \frac{C}{A} \times \frac{A}{B}$

$\frac{182}{200} \times \frac{200}{169}$

=> 182:169

When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers $\frac{169}{182} \times 350$
=> 325 m

So C beats B by (350 - 325) = 25 m.

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Filed Under: Time and Distance
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Q:

Fill in the blank with an appropriate word from the following options.

Usually the room tariff in this hotel is higher. At present, it is low because of the------- season.

A) Peak	B) Off
C) Down	D) Slow

Answer & Explanation Answer: B) Off

Explanation:

Season can be either at peak or off.
Presently it is low, that is because of OFF season.

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Filed Under: Analogy
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Q:

(3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ?

A) 4	B) 1
C) 5	D) 3

Answer & Explanation Answer: C) 5

Explanation:

(3x + 2) (2x - 5) = $a x^{2} + k x + n$ ...............(1)

But (3x + 2)(2x - 5) = $6 x^{2} - 11 x - 10$ ........(2)

so by comparing (1) & (2),

we get a= 6, k= -11 , n= -10

(a - n + k) = 6 + 10 - 11 = 5.

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Filed Under: Numbers
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Q:

Who became the fastest bowler to get to 250 wickets in the test matches ?

A) K. Rabada	B) R. Ashwin
C) T G Southee	D) Jadeja

Answer & Explanation Answer: B) R. Ashwin

Explanation:

Indian Cricket team off-spin specialist Ravichandran Ashwin has become the fastest cricketer to take 250 wickets in the Test matches. Ashwin surpassed Australian fast bowler Dennis Keith Lillee to reach the milestone of 250 Test wicket. Thus Ravichandran Ashwin has become the sixth Indian bowler to reach 250 test wickets.

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Filed Under: Sports
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Q:

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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Filed Under: Numbers
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Q:

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?

A) 25%	B) 30%
C) 17%	D) 19%

Answer & Explanation Answer: A) 25%

Explanation:

He has gain = 15 - 12 = 3,
Gain% = (3/12) x 100 = (100/4) = 25.
He has 25% gain.

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Filed Under: Alligation or Mixture
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Q:

Question :

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

Statements :

a. The captain is eleven years older than the youngest player.

b. The average age of 10 players, other than the captain is 27.3 years.

c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

A) All a,b and c follows	B) Only a and c follows
C) Either b alone or a & b follows	D) None

Answer & Explanation Answer: C) Either b alone or a & b follows

Explanation:

From statement (b)
Average of 11 players = 11 x 28 = 308
Average of 10 players = 10 x 27.3 = 273
Age of captain = 308 - 273 = 35.

From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers age
From the statement (c),the averge age of 3groups of 3players each was given,
It means total 9 players age was given indirectly,
1st group: 25 x 3 = 75
2nd group: 28 x 3 = 84
3rd group: 30 x 3 = 90
Total is 75 + 84 + 90 = 249
Now {C + Y + (9 players age sum)}/11 = 28
Y + 11 + Y + (249) = 28 x 11=308
2Y+260=308
2Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35

Therefore, statement b alone or a & c only is the answer.

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Filed Under: Statement and Conclusions
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Q:

If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ?

A) 75 min	B) 82 min
C) 90 min	D) 101 min

Answer & Explanation Answer: C) 90 min

Explanation:

Let X = Time taken for each of Type B Problems(100 Problems)
And 2X = Time taken for each of Type A problems(50 problems)

Total time period = 3hrs = 3 x 60min = 180 minutes

100X + 50(2X) = 180
100X + 100X = 180
200X = 180 min

X = 180/200
X = 0.90 min

By convertiing into seconds,

X = 0.90 x 60 seconds
X = 54 sec

So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds
= 5400/60sec = 90 minutes.

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Filed Under: Percentage
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