Quantitative Aptitude - Arithmetic Ability Questions

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 1805
Q:

A, B and C are three students. A got 36% less marks than B and 16% more marks than C. If B got 145 marks, then what are the marks got by C?

A) 120 B) 110
C) 80 D) 75
 
Answer & Explanation Answer: C) 80

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

3 1805
Q:

What is 5% of 4000?

A) 180 B) 200
C) 220 D) 240
 
Answer & Explanation Answer: B) 200

Explanation:

5% of 4000

= 5 x 4000/100

= 5 x 40

= 200

 

Hence, 5% of 4000 = 200.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 1804
Q:

Umar and Avinash started a partnership with investments of Rs. 10000 and Rs. 15000, respectively. But due to a financial emergency the latter had to withdraw his investment after 8 months. In what ratio should the profit of the first twelve months be shared among the duo?

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

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

3 1804
Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5 B) 9 : 4
C) 14 : 9 D) 15 : 8
 
Answer & Explanation Answer: B) 9 : 4

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

6 1803
Q:

If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughter’s age is 7 years more than his son. Sum of daughter’s present age and his wife’s present age is 10 years more than Ayush’s present age then find the present age of Ayush if average of present age of entire family is 30.25 yr? 

A)  45 year  B)  50 year 
C)  60 year  D)  40 year 
 
Answer & Explanation Answer: B)  50 year 

Explanation:

Let the present age of Ayush be x yr.

Present age of his son =

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Filed Under: Problems on Ages
Exam Prep: CAT , Bank Exams , AIEEE

5 1803
Q:

445 of 229.79 = ? of 2398.51

A) 23/50 B) 36/49
C) 33/41 D) 29/47
 
Answer & Explanation Answer: A) 23/50

Explanation:

Given 

445 of 229.79 = ? of 2398.51

 

245 x 230 = ? x 240024 x 46 = ? x 2400? = 46/100 ? = 2350

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 1801
Q:

If cotA + cotB = x, then value of x is

A) (cotAcotB + 1)/(cotB - cotA) B) (cotAcotB + 1)/(cotB + cotA)
C) (cotAcotB - 1)/(cotB + cotA) D) (cotAcotB - 1)/(cotB - cotA)
 
Answer & Explanation Answer: C) (cotAcotB - 1)/(cotB + cotA)

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

7 1800