Mathematics Question Papers
06-March-2020 (Shift-2)
Q1. The following table shows the daily earnings of 45 skilled workers.
How many workers earn less than 1100 in a day?
a. 29
b. 10
c. 43
d. 39
Correct Answer: 39
Q2. The largest number which should replace * in the number 2365*4 to make the number divisible by 4 is:
a. 0
b. 8
c. 2
d. 9
Correct Answer: 8
Q3. In a school, 4% of the students did not appear for the annual exams. 10% of the students who appeared for the exams could not pass the exam. Out of the remaining students, 50% got distinction marks and 432 students passed the exam but could not get distinction marks. The total number of students in the school is:
a. 1200
b. 878
c. 1000
d. 960
Correct Answer: 1200
Q4. Amit borrowed a sum of Rs. 25000 on simple interest. Bhola borrowed the same amount on compound interest. At the end of 2 years, Bhole had to pay 160 more interest than Amit. The rate of interest charged per annum is:
a. 8%
b. 9%
c. 12%
d. 16%
Correct Answer: 8%
Q5. 24 students collected money for donation. The average contribution was 50. Later on, their teacher also contributed some money. Now the average contribution is 56. The teacher’s contribution is:
a. 194
b. 200
c. 66
d. 106
Correct Answer: 200
Q6. Solve the following.
4/3 ÷ 1/6 x 2 – 1 = ?
a. 15
b. 3
c. 8
d. -2
Correct Answer: 15
Q7. If [cos2Θ – 1][1 + tan2Θ] + 2tan2Θ = 1, 0° < Θ < 90° then Θ is:
a. 60°
b. 45°
c. 90°
d. 30°
Correct Answer: 45°
Q8. The coefficient of x in [x – 3y]3 is:
a. -3y2
b. 3y2
c. 27y2
d. -27y2
Correct Answer: 27y2
Q9. Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil, and Dinesh work together?
a. 8 days
b. 16 days
c. 14 days
d. 12 days
Correct Answer: 8 days
Q10. A manufacturer sells cooking gas stoves to shopkeepers at 10% profit, and in turn they sell the cooking gas stoves to customer to earn 15% profit. If a customer gets a cooking gas stove for 7590, then what has its manufacturing cost?
a. 6000
b. 5000
c. 5090
d. 6500
Correct Answer: 6000
Q11. Two cyclists X and Y start at the same time from place A and go towards place B at a speed of 6 km/hr and 8 km/hr, respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between places A and B is:
a. 16.5 km
b. 10 km
c. 6 km
d. 8 km
Correct Answer: 10 km
Q12. Solve the following 113 x 87 = ?
a. 10000
b. 9831
c. 10169
d. 10026
Correct Answer: 9831
Q13. Solve the following. sin0°sin30°sin45°sin60°sin90° = ?
a. 1
b. 1/6
c. 4
d. 0
Correct Answer: 0
Q14. During a medical check-up, the heights of 40 students in a class were recorded as shown in the following table.
How many students have a height of 165 cm or more?
a. 16
b. 25
c. 10
d. 15
Correct Answer: 15
Q15. The lengths of the diagonals of a rhombus are 16cm and 12cm. Its area is:
a. 96 cm2
b. 48 cm2
c. 69 cm2
d. 28 cm2
Correct Answer: 96 cm2
Q16. In a wallet, there are notes of the denominations 10 and 50. The total number of notes is 12. The number of 10 and 50 notes are in the ratio of 1 : 2. Total money in the wallet is:
a.
b.
c.
d.
Correct Answer:
Q17. The value of sin30°sin60° / cos60°cos30° – tan45° is:
a. 5
b. 2
c. 0
d. 1
Correct Answer: 0
Q18. A shopkeeper marked a computer table for 7200. He allows a discount of 10% on it and yet makes profit of 8%. What will be his gain percentage if he does NOT allow any discount?
a. 9%
b. 18%
c. 20%
d. 2%
Correct Answer: 20%
Q19. The following table shows the income for a particular month, together with their source, in respect of 5 employees.
How many employees got more than a total of Rs. 10000 as income other than salary?
a. 1
b. 2
c. 3
d. 4
Correct Answer: 2
Q20. The number of students enrolled in different streams in a college is shown in the following table.
a. 27 : 23
b. 1 : 1
c. 13 : 12
d. 23 : 27
Correct Answer: 27 : 23
Q21. In the given figure, if ∠APO = 35°, then which of the following options is correct?
a. ∠BPO = 55°
b. ∠BPO = 35°
c. ∠APB = 60°
d. ∠APB = 80°
Correct Answer: ∠BPO = 35°
Q22. If a + 1/a = 5 then a3 + 1/a3 is:
a. 140
b. 110
c. 80
d. 10
Correct Answer: 110
Q23. In the given figure, if AB = 8 cm, AC = 10 cm, ∠ABD = 90° and AD = 17 cm, then the measure of CD is:
a. 11 cm
b. 9 cm
c. 10 cm
d. 8 cm
Correct Answer: 9 cm
Q24. In the given figure, if AB = 10 cm, CD = 7 cm, SD = 4 cm and AS = 5 cm, then BC = ?
a. 8 cm
b. 9 cm
c. 6 cm
d. 7.5 cm
Correct Answer: 8 cm
Q25. In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be:
a. 3 cm
b. 14 cm
c. 4 cm
d. 2 cm
Correct Answer: 4 cm