Quantitative Aptitude - Arithmetic Ability Questions

Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Filed Under: Time and Work
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125 51357
Q:

Which of the following statement(s) is/are TRUE?

 

I . 11×3+13×5+15×7+...+111×13 = 1213

II. 11×2+12×3+13×4+...+112×13 = 1213

A) Only I B) Only II
C) Both I and II D) Neither I nor II
 
Answer & Explanation Answer: B) Only II

Explanation:
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0 51337
Q:

Simplify the following expression?

40% of (244 x ?) = 48

A) 24 B) 22
C) 20 D) 18
 
Answer & Explanation Answer: C) 20

Explanation:

We know that 

40% = 40100 = 2525 x 244 x ? = 48? = 48 x 5 x 42 x 24 = 20

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3 51285
Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1:2:3 B) 2:3:4
C) 3:4:5 D) 4:5:6
 
Answer & Explanation Answer: B) 2:3:4

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x]
⇒ 7x, 21x/2 and 14x.

⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4

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Filed Under: Ratios and Proportions

162 51263
Q:

26 january 1950 which day of the week?

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

Explanation:

We know that,

Odd days --> days more than complete weeks

Number of odd days in 400/800/1200/1600/2000 years are 0.

Hence, the number of odd days in first 1600 years are 0.

Number of odd days in 300 years = 1

Number of odd days in 49 years = (12 x 2 + 37 x 1) = 61 days = 5 odd days

Total number of odd days in 1949 years = 1 + 5 = 6 odd days

Now look at the year 1950

Jan 26 = 26 days = 3 weeks + 5 days = 5 odd days

Total number of odd days = 6 + 5 = 11 => 4 odd days

 

Odd days :-

0 = sunday ;

1 = monday ;

2 = tuesday ;

3 = wednesday ;

4 = thursday ;

5 = friday ;

6 = saturday

 

Therefore, Jan 26th 1950 was Thursday.

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208 51159
Q:

Solve the following :

 

123 + 12.3 + 1.23 + 0.123 + 0.0123 = ?

A) 136.7659 B) 136.653
C) 136.6653 D) 136.7760
 
Answer & Explanation Answer: C) 136.6653

Explanation:
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1 51120
Q:

 If a2 = 12, then a4 =? 

 

A) 144 B) 72
C) 36 D) 24
 
Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a =  (a x a) x (a x a)

a4 = a2 x a2 

= 12 x 12

= 144.

 

More :: Mathematical operations questions and answers.

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6 51005
Q:

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A) Rs. 2000 B) Rs. 2200
C) Rs. 2400 D) Data inadequate
 
Answer & Explanation Answer: A) Rs. 2000

Explanation:

Let C.P. be Rs. x.

 

Then,= >1920-xx*100=x-1280x*100

 

=>  1920 - x = x - 1280

 

=>  2x = 3200

 

=>  x = 1600

 

 Required S.P. = 125% of Rs. 1600 =Rs(125/100*1600) = Rs2000

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Filed Under: Profit and Loss

318 50944