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Q:

Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ?

A) 24 km	B) 50 km
C) 42 km	D) 30 km

Answer & Explanation Answer: B) 50 km

Explanation:

We know 60 min = 1 hr
Total northward Laxmi's distance = 20kmph x 1hr = 20 km
Total southward Prasanna's distance = 30kmph x 1hr = 30 km
Total distance between Prasanna and Laxmi is = 20 + 30 = 50 km.

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Filed Under: Time and Distance
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Q:

The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ?

A) 6 ml	B) 11 ml
C) 15 ml	D) 9 ml

Answer & Explanation Answer: A) 6 ml

Explanation:

Let us assume that the lotion has 50% alcohol and 50% water.
ratio = 1:1
As the total solution is 9ml
alcohol = water = 4.5ml
Now if we want the quantity of alcohol = 30%
The quantity of water = 70%
The new ratio = 3:7
Let x ml of water be added
We get,
$\frac{4.5}{4.5 + x} = \frac{3}{7}$
=> x=6
Hence 6ml of water is added.

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Filed Under: Alligation or Mixture
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Q:

An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ?

A) 1124	B) 1420
C) 1345	D) 1250

Answer & Explanation Answer: D) 1250

Explanation:

Let initially 'X' ticket has been sold.
So now in 2nd week 20% increases, so
=> X x 120/100
In 3rd week 16% increases, so
=> X x (120/100) x (116/100)
In 4th week 20% decrease, so
=> X x (120/100) x (116/100) x (80/100) = 1392
X = 1250.

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Filed Under: Percentage
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Q:

'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ?

A) 32.1 km	B) 15.23 km
C) 3.75 km	D) 32.1 m

Answer & Explanation Answer: C) 3.75 km

Explanation:

Let 'd' be the distance between A and B
K -time = d/10 + d/9 = 19d/90 hours
L -time = 2d/12 = d/6 hours
We know that, 10 min = 1/6 hours
Thus, time difference between K and L is given as 10 minutes.
=> 19d/90 - d/6 = 1/6
=> (19d-15d)/90 = 1/6
=> 4d/90 = 1/6
Thus,
d= 15/4 km = 3.75 km.

hence the distance between A and B is 3.75 km.

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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 first woman Director of an IIM ?

A) Deena Mehta	B) Neelu Rohmetra
C) Bhimaraya Metri	D) None

Answer & Explanation Answer: B) Neelu Rohmetra

Explanation:

Dr. Neelu Rohmetra from Jammu University has been appointed as one of the heads of IIMs. She became the first woman director of Indian Institute of Management Sirmaur, Himachal Pradesh. Dr. Neelu Rohmetra is the founder of the director of International Centre for Cross-Cultural Research and Human Resource Management (ICccR and HRM).

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