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Q:

What will be the vulgar fraction of 0.75 ?

A) 3/5	B) 3/4
C) 3/2	D) 3/7

Answer & Explanation Answer: B) 3/4

Explanation:

0.75 = 75/100 = 3/4

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Filed Under: Decimal Fractions

Q:

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is

A) 100	B) 250
C) 260	D) 416

Answer & Explanation Answer: D) 416

Explanation:

Let the number of boys and girls be 8x and 5x.
Total number of students = 13x = 13 * 32 = 416.

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Filed Under: Ratios and Proportions

Q:

If 0.75: x :: 5:8, then x is equal to:

A) 1.12	B) 1.16
C) 1.20	D) 1.30

Answer & Explanation Answer: C) 1.20

Explanation:

(x * 5) = (0.75 *8)

X=6/5 = 1.20

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Filed Under: Ratios and Proportions

Q:

A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

A) 8 Liters	B) 10 Liters
C) 18 Liters	D) 22 Liters

Answer & Explanation Answer: B) 10 Liters

Explanation:

Let the quantity of alcohol and water be 4x liters and 3x liters respectively. Then,

(4x)/(3x+5) = 4/5

=> 20x = 4(3x+5)

=> x = 2.5

Quantity of alcohol = (4 * 2.5) liters = 10 liters.

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Filed Under: Ratios and Proportions

Q:

If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:

A) 12	B) 15
C) 16	D) 19

Answer & Explanation Answer: A) 12

Explanation:

Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.

Smallest part = (76*3/19) = 12

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Filed Under: Ratios and Proportions

Q:

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A) 48	B) 24
C) 38	D) 36

Answer & Explanation Answer: B) 24

Explanation:

Less Cogs $\Rightarrow$ more turns and less time $\Rightarrow$ less turns

$C o g s T i m e T u r n s A 54 45 80 B 32 8 ?$

Number of turns required=80 × 54/32 × 8/45 = 24 times

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Filed Under: Problems on Trains

Q:

A train travelling at a speed of 75 mph enters a tunnel $3 \frac{1}{2}$ miles long. The train is $\frac{1}{4}$ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A) 2.5 min	B) 3 min
C) 3.2 min	D) 3.5 min

Answer & Explanation Answer: B) 3 min

Explanation:

Total distance covered = $(\frac{7}{2} + \frac{1}{4})$ miles = $\frac{15}{4}$ miles

Time taken = $(\frac{15}{4 * 75})$ hrs = $\frac{1}{20}$ hrs = $(\frac{1}{20} * 60) m i n$ = 3 min

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Filed Under: Problems on Trains

Q:

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A) 230 m	B) 240 m
C) 260 m	D) 270 m

Answer & Explanation Answer: D) 270 m

Explanation:

Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.

Time = 26 sec.

Let the length of the train be x metres.

Then,[ (x+250)/26 ]= 20

=> x + 250 = 520

=> x = 270.

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Filed Under: Problems on Trains

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