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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

A) Rs. 1400 B) Rs. 900
C) Rs. 1600 D) Rs. 1200
 
Answer & Explanation Answer: A) Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

The HCF of two numbers is 11 and their LCM is 330. If one of the number is 55. Find the other number.

A) 33 B) 66
C) 44 D) 77
 
Answer & Explanation Answer: B) 66

Explanation:
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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

4 2864
Q:

Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

A) 121 sq.com B) 154 sq.com
C) 186 sq.com D) 164 sq.com
 
Answer & Explanation Answer: B) 154 sq.com

Explanation:

We know that, 

Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides)

= 1/2 x (12 + 10) x 14

= 22 x 14/2

= 22 x 7

= 154 sq. cm

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

23 2861
Q:

Karthik is now 32 years old and his son is 7 years old. In how many years will Karthik be twice as old as the son?

A) 18 B) 25
C) 7 D) 15
 
Answer & Explanation Answer: A) 18

Explanation:

Given Karthik’s age = 32 years

Karthik’s son age = 7 years

Difference between their ages = K - S = 32 - 7 = 25 years ….(1)

Now, required K = 2S ……(2)

Put (2) in (1)

2S - S = 25

=> S = 25 years

Hence, at the age of 25 years of Karthik’s son, Karthik will be twice as his son’s age.

25 - 7 = 18 years

 

Therefore, after 18 years the father be twice as old as the son.

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

3 2860
Q:

The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

A) 14 B) 22
C) 28 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

2 2859
Q:

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?

A) 45 B) 55
C) 65 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,(x/y)*100 = p%

p% = 3z/100/4z/100×100= 75%

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Filed Under: Percentage
Exam Prep: Bank Exams

3 2858
Q:

If the truediscount on a sum due 2yrs hence at 14% per annum be Rs168. The sum due is?

A) 700 B) 760
C) 768 D) 786
 
Answer & Explanation Answer: C) 768

Explanation:

P.W = (100 x T.D)/(R x T)  = (100 x 168)/(14 x 2)= 600 

Sum = (P.W + T.D) = Rs. (600+ 168) = Rs.768.

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Filed Under: True Discount

0 2856
Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

A) 32√3 B) 24[(√3) – 1]
C) 48[(√3) – 1] D) 16[3 – (√3)]
 
Answer & Explanation Answer: D) 16[3 – (√3)]

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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