Quantitative Aptitude - Arithmetic Ability Questions

Q:

The diameter of a circle is 28 cm find its area?

A) 616 sq cm B) 308 sq cm
C) 154 sq cm D) 77 sq cm
 
Answer & Explanation Answer: A) 616 sq cm

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Q:

A sum of Rs 10000 becomes Rs 14641 when invested at compound interest at the yearly interest rate of 20% per annum. If the compounding is done half yearly, then for how many years was the sum invested?

 

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

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Filed Under: Compound Interest
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Q:

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

A) 20√3 B) 30(√3 + 1)
C) 40(√3 – 1) D) 50(√3 – 1)
 
Answer & Explanation Answer: C) 40(√3 – 1)

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Filed Under: Simplification
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Q:

The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

A) -7 B) 4
C) 7 D) -4
 
Answer & Explanation Answer: C) 7

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Q:

The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C’s income is Rs 4000 more than the half of E’s income, then what is the D’s income (in Rs)?

A) 40000 B) 43000
C) 50000 D) 60000
 
Answer & Explanation Answer: A) 40000

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Filed Under: Ratios and Proportions
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Q:

If two marbles are picked at random, what is the probability that either both are red or both are green?

A) 5/7 B) 5/14
C) 1/7 D) 1/14
 
Answer & Explanation Answer: C) 1/7

Explanation:

Required probability = (10+3)91=1391=17

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Q:

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

A) 36° B) 72°
C) 108° D) 144°
 
Answer & Explanation Answer: C) 108°

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Q:

Surbhi invested Rs.6000 for 5 months and Urba invested Rs.5000 for 6 months in a venture. The ratio in which they will share the profits is

A) 36:25 B) 6:5
C) 5:6 D) 1:1
 
Answer & Explanation Answer: D) 1:1

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Filed Under: Profit and Loss
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