Maths Questions for comptitive exams.

Q1. In a public library, there are 125,000 books, 45% of which are science books. It was decided to add 25,000 new books to the library. How many of the new books should be science books in order to bring the percentage of science books in the library up to 50 %?   

(a) 15000

(b) 15050

(c) 14500

(d) 18750

(e) None of these

S1. Ans.(d)
Sol.
No.of new Science book=(1,25,000+25,000)×50/100-1,25,000×45/100
=75,000-56,250
=18,750

Q2.   An inspector rejects 0.06% of the meters as defective. How many meters will he examine to reject 3 meters ?    

(a) 2500 m

(b) 5500 m

(c) 5000 m

(d) 3000 m

(e) None of these

S2. Ans.(c)
Sol.
Let the inspector examined x metres
∴ 0.06% of x = 3

⇒x=5000 m

Q3. In a class, there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class? (Rounded off to two digits after decimal) 

(a) 13.50

(b) 13.53

(c) 12.51

(d) 13.42

(e) None of these

Q4. 12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?  

(a)  22/3 acres

(b)  39/8 acres

(c)  40/11 acres

(d)  25/9 acres

(e) None of these

Q5. A school team has 9 volleyball players. A 6 member team and a captain will be selected out of these nine players. How many different selections can be made?

 (a) 24

 (b) 112

 (c) 252

 (d) 288

 (e) 168

Directions(6-10): What should come in place of question mark(?) in the questions given below?(you are not expected to get exact values).

Q6. 4859.008 + 274.89 × 24.95 = ?

(a) 11735

(b) 9050

(c) 8690

(d) 6980

(e) 6350

Q7. 7534.98 ÷ 501.99 × 1.006 = ? 

(a) 21

(b) 33

(c) 32

(d) 15

(e) 28

Q8. 59.89% of 7085.01 – 4/11 of 1077.97 = ?

(a) 2215

(b) 2315

(c) 3860

(d) 3157

(e) 3351

Q9. 231 + 14.9 × 27.9 + 39.88= ?

(a) 652

(b) 718

(c) 661

(d) 753

(e) 691

Q11. What is the total  no. of men in sectors 21,25 and 5 together ?

(a) 36,800

(b) 41,300

(c) 30,500

(d) 28,400

(e) None of these

Q12. Total no. of females in sectors 32 and 28 are approximately what percent of total no. of men in these sectors together ? 

(a) 43%

(b) 50%

(c) 32%

(d) 53%

(e) 58%

Q13. No. of men in sector 28 is approximately what percent of the no. of total persons in sector 25?

(a) 220% 

(b) 284% 

(c) 240% 

(d) 266% 

(e) 215% 

Q14. What is the ratio of no. of males in sector 32 to the no. of females in sector 25?

(a) 3 : 1

(b) 7 : 11

(c) 1 : 3

(d) 11 : 5

(e) None of these

Q15. If 70% persons are eligible for voting from sectors 5 and 21 together and 75% females are eligible for voting from these two sectors together then find the no. of men who are eligible for voting from these two sectors together.

(a) 23,100

(b) 26,000

(c) 30,000

(d) 35,800

(e) None of these

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