Aptitude and Reasoning Questions

Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is

A) 1/5 B) 2/5
C) 3/5 D) 4/5
 
Answer & Explanation Answer: C) 3/5

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in sq.cm) of the pyramid?

 

A) 48[(√3) + 1] B) 24[4 + (√3)]
C) 28[6 + (√3)] D) 32[3 + (√3)]
 
Answer & Explanation Answer: D) 32[3 + (√3)]

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A wholesaler sells a jacket to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays Rs. 4158, what had it cost (in Rs) to the wholesaler?

A) 3500 B) 3400
C) 3300 D) 3600
 
Answer & Explanation Answer: D) 3600

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

If 45 % 11 = 7, 59 % 34 = 7 then what is the value of 55 % 4 = ?

A) 6 B) 40
C) 45 D) 50
 
Answer & Explanation Answer: A) 6

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
AG, LR, WC, HN, ?

A) QY B) RX
C) SY D) TZ
 
Answer & Explanation Answer: C) SY

Explanation:
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Filed Under: Alphabet Test
Exam Prep: Bank Exams

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Q:

The pie chart shows the number of shoes of 5 different brands in a multi brand store. There are total 1200 shoes.

A) 230 B) 276
C) 286 D) 216
 
Answer & Explanation Answer: B) 276

Explanation:
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Filed Under: Pie Charts
Exam Prep: AIEEE , Bank Exams , CAT , GATE

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Q:

If 5@1=60; 12@8=200; 16@2=180; then what is the value of 16@10=?

A) 32 B) 11
C) 9 D) 260
 
Answer & Explanation Answer: D) 260

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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