Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many ways are there to select a subcommittee of 7 members from among a committee of 17?

A) 19000 B) 19448
C) 19821 D) 19340
 
Answer & Explanation Answer: B) 19448

Explanation:

Since it does not matter what order the committee members are chosen in, the combination formula is used.

 

Committees are always a combination unless the problem states that someone like a president has higher hierarchy over another person. If the committee is ordered, then it is a permutation.

 

C(17,7)= 19,448

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1 10277
Q:

On 19th June, 1984 Monday falls. What day of the week was it on 19th June, 1985?

A) Sunday B) Monday
C) Tuesday D) Wednesday
 
Answer & Explanation Answer: C) Tuesday

Explanation:

The year 1985 is an ordinary year. So, it has 1 odd day.

So, the day on 19th June, 1985 will be 1 day after the day on 19th June, 1984.

But, 19th June,1984 is Monday

S0, 19th June, 1985 is Tuesday.

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Filed Under: Calendar

25 10255
Q:

80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ? 

A) 120 lit B) 140 lit
C) 110 lit D) 150 lit
 
Answer & Explanation Answer: D) 150 lit

Explanation:

To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres.

=> the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres

However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity.

i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too.

Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

14 10254
Q:

Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

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

Explanation:

Let varun's age = x yrs.

From the given conditions,

x+1  =  2(x-12)

x = 25 years.

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

14 10245
Q:

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

A) Rs. 4082.40 B) Rs. 1024.21
C) Rs. 2810.6 D) Rs. 3214
 
Answer & Explanation Answer: A) Rs. 4082.40

Explanation:

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

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

11 10237
Q:

Two consecutive discounts x% and y% is equivalent to the discount

A) (x-y+xy100)% B) (x+y+xy100)%
C) (x-y-xy100)% D) (x+y-xy100)%
 
Answer & Explanation Answer: D) (x+y-xy100)%

Explanation:
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Filed Under: Banker's Discount
Exam Prep: Bank Exams

1 10224
Q:

There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?

A) Rs. 5422 B) Rs. 5489
C) Rs. 3972 D) Rs. 6145
 
Answer & Explanation Answer: C) Rs. 3972

Explanation:

Let p = Rs. 100.

Then, S.I is Rs. 50 and time = 5 years. 

 R = 100×50100×5= 10% p.a.

 

Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a.


C.I. = Rs. 12000×1+101003-1= Rs. 3972

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Filed Under: Compound Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 10215
Q:

On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is

Answer

Divisor = 


           = 

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Subject: Numbers

34 10213