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Q:

In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows:

What is the number of people who read at least two newspaper?

A) 12,000	B) 13,000
C) 14,000	D) 15,000

Answer & Explanation Answer: A) 12,000

Explanation:

As we can see from the above venn diagram the number of people who read two or more newspapers are

1% + 1% + 3% + 7% = 12% = 12/100 * 100000 = 12000

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Filed Under: Table Charts
Exam Prep: Bank Exams

0 1770

Q:

In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows:

What is the number of people who read only one newspaper?

A) 20,000	B) 25,000
C) 30,000	D) 35,000

Answer & Explanation Answer: A) 20,000

Explanation:

The number of people who read only I , only II and only II are

1 % + 19% + 0% = 20% of total population = 20/100 *

100000 = 20000

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0 1085

Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

A) one	B) two
C) three	D) four

Answer & Explanation Answer: C) three

Explanation:

Sec of any number can never be less than 1

tan can take any value from -∞ to + ∞

cosec of any number can never be less than 1

cos of any number can never be greater than 1

so option 1,3,4 are not possible

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Filed Under: Simplification
Exam Prep: Bank Exams

1 10662

Q:

What is the value of $\sin^{6} θ + \cos^{6} θ + 3 \sin^{2} θ \cos^{2} θ - 1$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: A) 0

Explanation:

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0 951

Q:

What is the value of $\sin^{2} 25 ° + \sin^{2} 65 °$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: B) 1

Explanation:

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0 1298

Q:

If 3 tan θ = cot θ where $0 < θ < π / 2$ , then what is the value of θ ?

A) π/6	B) π/4
C) π/2	D) 1

Answer & Explanation Answer: A) π/6

Explanation:

3tan θ = cot θ

3tan θ = 1/tan θ

tan2θ = 1/3

tan θ = 1/√3

θ = π/6

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0 890

Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km	B) 10.5 km
C) 12.5 km	D) 15 km

Answer & Explanation Answer: C) 12.5 km

Explanation:

Initially the person is travelling from south to north i.e. D to A

He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC

AB = 20km/hr * 15/60 hr = 5km

BC = 30 * 20/60 = 10 km

We know that distance between both the streets is DC = DB + BC

DB = AB cos 60o= 5. ½ =2.5 km

So the distance between streets = 12.5 km

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Filed Under: Height and Distance
Exam Prep: Bank Exams

5 1798

Q:

What is the value of $\tan 1 ° \tan 2 ° \tan 3 ° . . . . . . . \tan 89 °$ ?

A) 0	B) 1
C) 2	D) infinity

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