Q1. The area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?
(a) 24 cm
(b) 28 cm
(c) 26 cm
(d) Cannot be determined
(e) None of these
Q2. If the digits of a two-digit number are interchanged, the number formed is greater than the original number by 45. If the difference between the digits is 5, what is the original number?
(a) 16
(b) 27
(c) 38
(d) Cannot be determined
(e) None of these
Q3. P, Q and R invested Rs. 45,000, Rs. 70,000 and Rs. 90,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 1,64,000. What will be Q’s share in the profit?
(a) Rs. 56,000
(b) Rs. 35,000
(c) Rs. 72,000
(d) Rs. 64,000
(e) None of these
Q4. What will be the compound interest accrued on an amount of Rs. 10,000 @ 20 p.c.p.a. in two years if the interest is compounded half-yearly?
(a) Rs. 4,400
(b) Rs. 4,600
(c) Rs. 4,641
(d) Rs. 4,680
(e) Rs. 6,441
Q5. Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a woman. In how many different ways can this be done?
(a) 80
(b) 84
(c) 76
(d) 96
(e) 72
Directions (6-10): Calculate the approximate value of given questions:
Q6. (13.96) ² – (15.03) ² + (18.09) ² – 32.65 = ?
(a) 223
(b) 262
(c) 334
(d) 354
(e) 201
Q8. 9228.789 – 5021.832 + 1496.989 = ?
(a) 6500
(b) 6004
(c) 6314
(d) 5704
(e) 5104
Q9. 1001 ÷ 49 × 99 – 1299 = ?
(a) 700
(b) 600
(c) 900
(d) 250
(e) 400
Q10. 7999.99 + 72 × 49.99 = ?
(a) 12000
(b) 12600
(c) 12500
(d) 11600
(e) 11000
Directions (11-15): Study the following graph carefully to answer the questions given below.
Q11. In year 2016 the number of students of class XII in three schools A, B and C increase by 5%, 10% and 20% respectively with comparison to the last year in same class. Find the ratio of students in class XII of all schools in 2016 ?
(a) 84:78:77
(b) 84:77:78
(c) 88:77:78
(d) 8:7:9
(e) None of these
Q12. By what percent the number of students in class IX in school C is less than total students in class XII in all the three schools together (find approximate value)?
(a) 84%
(b) 68%
(c) 75%
(d) 80%
(e) 58%
Q13. What is average number of students in school A in all grades taken together?
(a) 456
(b) 465
(c) 450
(d) 460
(e) 470
Q14. What is respective ratio of the total students in all the standards in all three schools A, B and C ?
(a) 27 : 26 : 27
(b) 23 : 13 : 9
(c) 9 : 13 : 26
(d) 3 : 13 : 11
(e) 9 : 26 : 9
Q15. The number of students in class VIII of the school B is what percent of total students in same school in all the standards ?
(a) 15.4%
(b) 16.8%
(c) 18.2%
(d) 20%
(e) 12.5%
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