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Q:

Find the number of triangles in the given figure ?

analyticalreasoning81484544890.png image

A) 21	B) 15
C) 18	D) 20

Answer & Explanation Answer: A) 21

Explanation:

analyticalreasoning8answer121484544955.png image

The simplest triangles are AKI, AIL, EKD, LFB, DJC, DKJ, KIJ, ILJ, JLB, BJC, DHC and BCG i.e. 12 in number.
The triangles composed of two components each are AKJ, ALJ, AKL, ADJ, AJB and DBC i.e. 6 in number.
The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. ADB composed of four components.
Thus, there are 12 + 6 + 2 + 1 = 21 triangles in the figure.

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Q:

"National Youth Day" is celebrated on which day ?

A) January 15	B) January 14
C) January 17	D) January 12

Answer & Explanation Answer: D) January 12

Explanation:

National Youth Day is celebrated in India on 12 January on the birthday of Swami Vivekananda. In 1984 the Government of India declared the day as the National Youth Day and since 1985 the event is celebrated in India every year.

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Q:

Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ?

A) 60 sec	B) 48 sec
C) 45 sec	D) 34 sec

Answer & Explanation Answer: B) 48 sec

Explanation:

Relative speed = 42 + 36 = 78 km/hr = $\frac{65}{3}$ m/s

Distance = (520 + 520) =1040 mts.

Time = $1040 \times \frac{3}{65}$ = 48 sec

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Q:

Two trains are running at 60 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ?

$A . 66 \frac{2}{3} m t s$

$B . 66 \frac{3}{2} m t s$

$C . 63 \frac{4}{5} m t s$

$D . 63 \frac{5}{4} m t s$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: A) Option A

Explanation:

As Trains are moving in same direction,

Relative Speed = 60-20 = 40 kmph

--> $40 \times \frac{5}{18} = \frac{100}{9}$ m/sec

Length of Train= Speed * Time

Length = $\frac{100}{9} \times 6$

$\Rightarrow \frac{200}{3} = 66 \frac{2}{3} m t s$

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Q:

Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

A) 355 mts	B) 325 mts
C) 365 mts	D) 312 mts

Answer & Explanation Answer: A) 355 mts

Explanation:

Given speed = 63 km/hr = $63 \times \frac{5}{18} = \frac{35}{2}$ m/s

Let the length of the bridge = x mts

Given time taken to cover the distance of (170 + x)mts is 30 sec.

We know speed = $\frac{d i s \tan c e}{t i m e}$ m/s

$\Rightarrow \frac{35}{2} = \frac{170 + x}{30}$

--> x = 355 mts.

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Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

A) 90 mts	B) 150 mts
C) 120 mts	D) 100 mts

Answer & Explanation Answer: D) 100 mts

Explanation:

We know that $S p e e d = \frac{d i s \tan c e}{t i m e}$

distance= speed * time

$\Rightarrow$ $d = (40 \times \frac{5}{18}) \times 9$

d= 100 mts.

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Q:

Five plays K, L, M, N and O are to be staged from Monday to Friday of a week. On each day, only one play will be staged. N or O should not be either the first or last to be staged. O should be immediately followed by M. L should be staged immediately after N. One play is staged between K and L.

Which is the second play to be staged ?

A) L	B) O
C) M	D) N

Answer & Explanation Answer: D) N

Explanation:

O should be immediately followed by M ie, the order OM should be followed. N should be immediately followed by L ie, the order NL should be followed. One play is staged between k and L and N or O should not be the first or last play. So, the order is

Monday K

Tuesday N

Wednesday L

Thursday O

Friday M

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Q:

Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?

A) 8 hrs 45 min	B) 8 hrs 42 min
C) 8 hrs	D) 8 hrs 34 min

Answer & Explanation Answer: D) 8 hrs 34 min

Explanation:

Number of pages typed by Adam in 1 hour = 36/6 = 6
Number of pages typed by Smith in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 110 pages = (120 * 1/14) = $8 \frac{4}{7}$ = 8 hrs 34 min.

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