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Q:

Find the minimum number of straight lines in the below figure ?

441484547526.png image

A) 20	B) 19
C) 17	D) 15

Answer & Explanation Answer: B) 19

Explanation:

The given figure can be labelled as :

44-1u1484547679.png image

Straight lines :

The number of straight lines are 19

i.e. BC, CD, BD, AF, FE, AE, AB, GH, IJ, KL, DE, AG, BH, HI, GJ, IL, JK, KE and DL.

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Q:

Minimum number of straight lines required to form the below figure ?

21484547018.png image

A) 18	B) 17
C) 14	D) 16

Answer & Explanation Answer: C) 14

Explanation:

The given figure can be labelled as shown :

2-11484547091.png image

The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

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Q:

Find the number of triangles in the given figure ?

analyticalreasoning1331484546669.png image

A) 5	B) 8
C) 9	D) 10

Answer & Explanation Answer: D) 10

Explanation:

The given figure can be labelled as :

analyticalreasoning13answer121484546728.png image

The simplest triangles are AJF, FBG, HDI, GCH and JEI i.e 5 in number.
The triangles composed of the three components each are AIC, FCE, ADG, EBH and DJB i.e 5 in number.
Thus, there are 5 + 5 = 10 triangles in the given figure.

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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:

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:

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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Q:

Find the next number in the series 125, 80, 45, 20, ....

A) 5	B) 15
C) -5	D) 10

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