Quantitative Aptitude - Arithmetic Ability Questions

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:

Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

A) 1260 B) 700
C) 900 D) 870
 
Answer & Explanation Answer: A) 1260

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

The shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The difference in their selling price is

A) Rs. 9.8 B) Rs. 16.8
C) Rs. 22.4 D) Rs. 36.4
 
Answer & Explanation Answer: A) Rs. 9.8

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A shopkeeper marks up his wares by 80% and offers 20% discount. What will be the selling price (in Rs) if the cost price is Rs 450?

A) 548 B) 748
C) 848 D) 648
 
Answer & Explanation Answer: D) 648

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

A) Rs 432 B) Rs 442
C) Rs 420 D) Rs 400
 
Answer & Explanation Answer: C) Rs 420

Explanation:

Let the original avg expenditure be x

Total expenditure = 35x

⇒35x + 42 = (x-1) X 42

⇒35x + 42 = 42x –42

⇒7x = 84

⇒x = 12

So, initial expenditure = 12 X 35 = 420

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If a - b = 10 and ab =-21, then what is the value of a3-b3 ?

A) 316 B) 370
C) 185 D) 158
 
Answer & Explanation Answer: B) 370

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

21.003 × 39.998 –209.91 = 126× ?

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

Explanation:

Take nearest values21.003 × 39.998 –209.91 = 126× ?630 = 126× ?? = 5 (approx)

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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm B) 216 sq.cm
C) 144 sq.cm D) Cannot be determined due to insufficient data
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:
Let lengths, breadth and height of cuboid be l, b and h respectively
According to question
l+b+h = 22cm......(i)
and
√(l^2+b^2+h^2) = 14cm .....(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l2+b2+h2+ 2(lb+bh+lh) = 484
Substituting l^2+b^2+h^2 from eq (i)
2(lb+bh+lh) = 484 -196 = 288 sq.cm
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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