Searching for "angle"

Q:

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

1. In the corporate sector, approximately how many degrees should be there in the central angle ?

A. 120                 B. 121                 C. 122                 D. 123


2. If the investment by NRI's are Rs 4,000 crore, then the investments by corporate houses and FII's tog ether is:

A. 24,000 cr       B. 24,363 cr       C. 25,423 cr       D. 25,643 cr


3. What percentage of the total investment is coming from FII's and NRI's ?

A. 33%                B. 11%                C. 44%                D. 22%


4. If the total investment other than by FII and corporate houses is Rs 335,000 crore, then the investment by NRI's and Offshore funds will be (approximately) ?

A. 274,100         B. 285,600         C. 293,000         D. Cannot be determined


5. If the total investment flows from FII's were to be doubled in the next year and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment into India Bonds next year (in US $ millions) ?

A. 40%                B. 50%                C. 60%                D. 70%

Answer

1. ANSWER :   C 


Explanation -   34 x 3.6 = 122.4 (since 1% = 3.6 degrees)  


  


2. ANSWER :  B 


Explanation -   (67/11) x 4000 = 24 363.6364   


 


3. ANSWER :  C


Explanation -  (33 + 11) = 44 


 


4. ANSWER :  A


Explanation -  Investment other than NRI and corporate houses is 33% = 335000.  Also, investment by offshore funds and NRI's is equal to 27%.


 Hence, (27 x 335000)/33 = 274 090.909


 


5. ANSWER : B


Explanation -  FII's currently account for 33 out of 100.


If their value is doubled and all other investments are kept constant then their new value would be 66 out of 133 = approximately equal to 50%

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Subject: Pie Charts

Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 120 degrees B) 125 degrees
C) 130 degrees D) 135 degrees
 
Answer & Explanation Answer: C) 130 degrees

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

 

Angle traced by it in  11/3 hrs=  36012*113°=110°

 

Angle traced by minute hand in 60 min. = 360º.

 

Angle traced by it in 40 min. =(360/60*40)°=240°

 

  Required angle (240 - 110)º = 130º.

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Filed Under: Clock puzzles

Q:

A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X, Y, and Z.

Which symbol is opposite the dot?

A) Circle B) Triangle
C) Arrow D) Cross
 
Answer & Explanation Answer: D) Cross

Explanation:

From figures X and Y, we conclude that dot, circle, square and cross lie adjacent to the triangle. Therefore, the arrow must lie opposite the triangle. From figures X and Z, we conclude that dot, triangle, arrow and cross lie adjacent to the circle. Therefore, the square must lie opposite the circle. Thus, the arrow lies opposite the triangle, the square lies opposite the circle and consequently, the cross lies opposite the dot.

 

As analysed above, the cross lies opposite the dot.

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Filed Under: Cubes and Dice

Q:

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

A) Data inadequate B) 8 units
C) 12 units D) None of these
 
Answer & Explanation Answer: A) Data inadequate

Explanation:

One of AB, AD and CD must have given.

So, the data is inadequate.

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Filed Under: Height and Distance

Q:

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A) 173 m B) 200 m
C) 273 m D) 300 m
 
Answer & Explanation Answer: C) 273 m

Explanation:

 Let AB be the lighthouse and C and D be the positions of the ships.

 

 

Then, AB = 100m, ACB = 30°andADB =45°

 

ABAC=tan30°=13=>AC=AB*3=1003m

 

 

 ABAD=tan45°=1=>AD=AB=100m

CD=(AC+AD)=1003+100m=1003+1=100*2.73=273m

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Filed Under: Height and Distance

Q:

What is the number of straight lines and the number of triangles in the given figure.

A) 10 straight lines and 34 triangles B) 9 straight lines and 34 triangles
C) 9 straight lines and 36 triangles D) 10 straight lines and 36 triangles
 
Answer & Explanation Answer: C) 9 straight lines and 36 triangles

Explanation:

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The Horizontal lines are DF and BC i.e. 2 in number.

The Vertical lines are DG, AH and FI i.e. 3 in number.

The Slanting lines are AB, AC, BF and DC i.e. 4 in number.

Thus, there are 2 + 3 + 4 = 9 straight lines in the figure.

Now, we shall count the number of triangles in the figure.

The simplest triangles are ADE, AEF, DEK, EFK, DJK, FLK, DJB, FLC, BJG and LIC i.e. 10 in number.

The triangles composed of two components each are ADF, AFK, DFK, ADK, DKB, FCK, BKH, KHC, DGB and FIC i.e. 10 in number.

The triangles composed of three components each are DFJ and DFL i.e. 2 in number.

The triangles composed of four components each are ABK, ACK, BFI, CDG, DFB, DFC and BKC i.e. 7 in number.

The triangles composed of six components each are ABH, ACH, ABF, ACD, BFC and CDB i.e. 6 in number.

There is only one triangle i.e. ABC composed of twelve components.

There are 10 + 10 + 2 + 7 + 6+ 1 = 36 triangles in the figure.

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Filed Under: Analytical Reasoning

Q:

What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon?

A) 64 B) 32
C) 24 D) 16
 
Answer & Explanation Answer: B) 32

Explanation:

  

 

When the triangles are drawn in an octagon with vertices same as those of the octagon and having one side common to that of the octagon, the figure will appear as shown in (Fig. 1).

 

   

 

Now, we shall first consider the triangles having only one side AB common with octagon ABCDEFGH and having vertices common with the octagon (See Fig. 2).Such triangles are ABD, ABE, ABF and ABG i.e. 4 in number.

 

 

 

Similarly, the triangles having only one side BC common with the octagon and also having vertices common with the octagon are BCE, BCF, BCG and BCH (as shown in Fig. 3). i.e. There are 4 such triangles.

 

This way, we have 4 triangles for each side of the octagon. Thus, there are 8 x 4 = 32 such triangles.

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Filed Under: Analytical Reasoning

Q:

Find the number of triangles in the given figure.

A) 28 B) 32
C) 36 D) 40
 
Answer & Explanation Answer: C) 36

Explanation:

  

The simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE and EMA i.e. 12 in number.

The triangles composed of two components each are AEL, KDJ, HIC and FBG i.e. 4 in number.

The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number.

The triangles composed of six components each are ASB, BSG, CSD, DSA, AKF, EBH, GGJ and IDL i.e. 8 in number.

The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number.

Total number of triangles in the figure = 12 + 4 + 8 + 8 + 4 = 36.

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Filed Under: Analytical Reasoning