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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's

discount is:

A) 1315 B) 1150
C) 1020 D) 980
 
Answer & Explanation Answer: C) 1020

Explanation:

T.D. =(B.G*100)/(R*T)=Rs(270*100)/(12*3) = Rs. 750.

B.D. = Rs.(750 + 270) = Rs. 1020.

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Filed Under: Banker's Discount

3 24689
Q:

The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.

A) 27 and 23 B) 24 and 23
C) 25 and 23 D) 22 and 23
 
Answer & Explanation Answer: A) 27 and 23

Explanation:

Let the two parallel sides of the trapezium be a cm and b cm. 

Then, a - b = 4 

And, 12×a+b×19=475=>a+b=50 

Solving (i) and (ii), we get: a = 27, b = 23. 

So, the two parallel sides are 27 cm and 23 cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

23 24652
Q:

Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

A) 3567 B) 3452
C) 3087 D) 3544
 
Answer & Explanation Answer: C) 3087

Explanation:

Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11

Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400

Therefore Shyam's share = (441/841) * 5887 = 3087

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

17 24652
Q:

The H.C.F and L.C.M of two numbers are  84 and 21 respectively.  If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is 

A) 12 B) 48
C) 84 D) 108
 
Answer & Explanation Answer: C) 84

Explanation:

Let the numbers be x and 4x. Then,  x×4x=84×21 ⇔ x2=84×214⇔ x=21 

Hence Larger Number = 4x = 84

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Filed Under: HCF and LCM

26 24649
Q:

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is

A) 100 B) 250
C) 260 D) 416
 
Answer & Explanation Answer: D) 416

Explanation:

Let the number of boys and girls be 8x and 5x.
Total number of students = 13x = 13 * 32 = 416.

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Filed Under: Ratios and Proportions

97 24620
Q:

What will come in place of the question mark in the series below?

3, 5, 15, 45, 113, ?

A) 250 B) 243
C) 247 D) 261
 
Answer & Explanation Answer: B) 243

Explanation:

Ans. 
5 = 3 + (13 + 1)
15 = 5 + (23 + 2)
45 = 15 + (33 + 3)
113 = 45 + (43 + 4)
? = 113 + (53 + 5), i.e. ? = 243

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

0 24557
Q:

What value should come in place of question mark (?) in the following question?

442 + 232 = (?)2 + 44

A) 47 B) 65
C) 52 D) 41
 
Answer & Explanation Answer: A) 47

Explanation:

1936 + 529 = ?2 + 256 2465 = ?2 + 256 ?2 = 2465 - 256 ?2 = 2209 ?=47

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

0 24552
Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is :

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

Explanation:

 Let the ratio be k : 1. Then,

k * 16.4 + 1 * 15.4 = (k + 1) * 15.8

<=> (16.4 - 15.8) k = (15.8 - 15.4)  <=> k =  0.4/0.6 = 2/3.

Required ratio  = 2/3 : 1 = 2 : 3.

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Filed Under: Average

37 24538