Quantitative Aptitude - Arithmetic Ability Questions

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

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions

162 51934
Q:

Sinθ Cos(90 - θ) + Cosθ Sin(90 - θ) = 

 

A) 1 B) 2
C) -1 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 51912
Q:

ΔDEF is right angled at E. If cosecD = 25/24, then what is the value of cosF ?

 

A) 25/7   B) 24/7  
C) 24/25   D) 7/24
 
Answer & Explanation Answer: C) 24/25  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 51820
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

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss

318 51801
Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

 

A) (2√2+√3)/2 B) 5/6
C) (1+2√3)/2 D) (√2+1)/√2
 
Answer & Explanation Answer: A) (2√2+√3)/2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 51520
Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

 

A) 3√3/2   B) 1+√3  
C) (2√2+1)/2   D) (3√3+1)/6
 
Answer & Explanation Answer: A) 3√3/2  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 51458
Q:

A number is decreased by 10% and then increased by 10%.  The number so obtained is 10 less than the original number. What was the oiginal number ? 

A) 1000 B) 2000
C) 3000 D) 4000
 
Answer & Explanation Answer: A) 1000

Explanation:

Let the original number be x.

 

Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x. 

 

x-(99/100)x=10

=> x =1000

Report Error

View Answer Report Error Discuss

Filed Under: Percentage

141 51418
Q:

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A) 360 B) 700
C) 720 D) 120
 
Answer & Explanation Answer: C) 720

Explanation:

The word 'OPTICAL' contains 7 different letters.

When the vowels OIA are always together, they can be supposed to form one letter.

Then, we have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

Report Error

View Answer Report Error Discuss

51 51370