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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:

Taxonomy : Classification :: Pedology : ?

A) Mountain	B) Nature
C) Soil	D) Farming

Answer & Explanation Answer: C) Soil

Explanation:

Taxonomy is the science dealing with classification.

Similarly, pedology deals with the study of soils.

Hence, Taxonomy : Classification :: Pedology :Soils.

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Filed Under: Analogy
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Q:

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is :

A) 130	B) 360
C) 500	D) 540

Answer & Explanation Answer: C) 500

Explanation:

Speed =[ 78 x ( 5/18 ) ] m/sec = 65/3 m/sec.

Time = 1 minute = 60 sec.

Let the length of the tunnel be x metres.

Then, [ (800 + x )/ 60 ]= 65/3

$\Rightarrow$ 3(800 + x) = 3900

$\Rightarrow$ x = 500.

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Filed Under: Problems on Trains

Q:

If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,

A) 30	B) 38
C) 40	D) 41

Answer & Explanation Answer: C) 40

Explanation:

Let daughter’s age = A and mother’s age = B
Given: 2A+B = 70 and A+2B = 95
Solving B, we will get B = 40.

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Filed Under: Problems on Ages

Q:

If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?

A) 40	B) 41
C) 36	D) 48

Answer & Explanation Answer: B) 41

Explanation:

Raj’s age today = 17 decades,
Hence, 5 decades back, he must be 12 years old.
Rahim must be 36 years old, Because (3×12).
5 years back Rahim must be 41 years old today. Because (36+5).

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Filed Under: Problems on Ages

Q:

If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

A) 55.6003	B) 53.603
C) 153.6003	D) 213.003

Answer & Explanation Answer: C) 153.6003

Explanation:

4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.

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Filed Under: Decimal Fractions

Q:

The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

A) 3/5	B) 3/10
C) 4/5	D) 5/4

Answer & Explanation Answer: C) 4/5

Explanation:

Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20 => 20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.

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Filed Under: Numbers

Q:

If n is natural number , then $(6 n^{2} + 6 n)$ is always divisible by :

A) 6 only	B) 6 and 12 both
C) 12 only	D) by 18 only

Answer & Explanation Answer: B) 6 and 12 both

Explanation:

$(6 n^{2} + 6 n) = 6 n (n + 1)$ , which is always divisible by 6 and 12 both, since n(n+1) is always even.

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Filed Under: Numbers

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