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DSSSB TGT / PGT · Topic-wise previous year questions

Mathematics Previous Year Questions

20 Mathematics questions asked in DSSSB TGT / PGT previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Q1DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The ratio of Amit’s and Ankit’s present age is 10 : 13. Amit is 18 years younger than Ankit. What will be the ratio of Amit’s age to Ankit’s age after 12 years?
  1. A4 : 5
  2. B3 : 5
  3. C4 : 9
  4. D4 : 7
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Correct answer: (A) 4 : 5

Explanation

The age difference of 13 − 10 = 3 parts equals 18 years, so 1 part = 6: Amit 60, Ankit 78. After 12 years: 72 : 90 = 4 : 5.

Q2DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
If E1 is 8 times more than E2, then E2 is what percentage less than E1?
  1. A96.96 percent
  2. B88.88 percent
  3. C80.88 percent
  4. D84.88 percent
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Correct answer: (B) 88.88 percent

Explanation

"8 times more" means E1 = E2 + 8E2 = 9E2. E2 is less than E1 by 8E2, i.e. 8/9 × 100 = 88.88 percent.

Q3DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The line chart given below shows the production of 6 companies in 2 years P and Q. J1 = The total production of all companies in year P. J2 = The total production of all companies in year Q. What is the value of (J2 – J1)?
  1. A125
  2. B110
  3. C150
  4. D85
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Correct answer: (A) 125

Explanation

From the chart, year P total = 160+50+40+35+48+52 = 385 and year Q total = 68+72+60+170+96+44 = 510. So J2 − J1 = 510 − 385 = 125.

Q4DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The average age of 40 students is 21 years. It was observed that while calculating the average age, the age of a student was taken as 20 years instead of 30 years. What will be the correct average age?
  1. A21.25 years
  2. B21.22 years
  3. C12.12 years
  4. D23.84 years
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Correct answer: (A) 21.25 years

Explanation

The total age rises by 30 − 20 = 10 years, so the average rises by 10/40 = 0.25. Correct average = 21 + 0.25 = 21.25 years.

Q5DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
Three numbers P, Q and R are in the ratio of 6 : 5 : 3 respectively. If R is 32 less than the sum of P and Q, then what is the value of Q?
  1. A24
  2. B48
  3. C20
  4. D32
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Correct answer: (C) 20

Explanation

P + Q − R = 6 + 5 − 3 = 8 parts = 32, so 1 part = 4. Q = 5 × 4 = 20.

Q6DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
What is the compound interest on (compounding annually) Rs. 14400 at the rate of 10 percent for 3 years?
  1. ARs. 4214.8
  2. BRs. 4712.6
  3. CRs. 4812.6
  4. DRs. 4766.4
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Correct answer: (D) Rs. 4766.4

Explanation

Amount = 14400 × 1.1³ = 14400 × 1.331 = 19166.4. CI = 19166.4 − 14400 = Rs. 4766.4.

Q7DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
Each of the length, breadth and height of a cuboid is decreased by 12 percent. What is the percentage decrease in the total surface area of the cuboid?
  1. A20.24 percent
  2. B24.78 percent
  3. C18.92 percent
  4. D22.56 percent
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Correct answer: (D) 22.56 percent

Explanation

Surface area depends on the square of the dimensions: 0.88² = 0.7744, so the area falls by 1 − 0.7744 = 22.56 percent.

Q8DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
For what value of M, 859M is divisible by 9?
  1. A5
  2. B3
  3. C7
  4. D2
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Correct answer: (A) 5

Explanation

For divisibility by 9 the digit sum must be a multiple of 9: 8 + 5 + 9 + M = 22 + M, so M = 5 (sum 27).

Q9DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
Cost price of an article is Rs. 230. If the profit percentage is 12 percent, then what is the value of profit?
  1. ARs. 27.6
  2. BRs. 30
  3. CRs. 32.8
  4. DRs. 35
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Correct answer: (A) Rs. 27.6

Explanation

Profit = 12 percent of 230 = 0.12 × 230 = Rs. 27.6.

Q10DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
After giving a discount of 25 percent a cycle is sold for Rs. 7200. What is the marked price of the cycle?
  1. ARs. 9500
  2. BRs. 10000
  3. CRs. 9000
  4. DRs. 9600
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Correct answer: (D) Rs. 9600

Explanation

Selling price is 75 percent of the marked price, so MP = 7200 / 0.75 = Rs. 9600.

Q11DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
Simple interest and compound interest (compounding annually) on a principal at a certain rate of interest for 2 years is Rs. 28800 and Rs. 36000 respectively. What is the principal?
  1. ARs. 30000
  2. BRs. 28800
  3. CRs. 29750
  4. DRs. 28850
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Correct answer: (B) Rs. 28800

Explanation

SI per year = 28800/2 = 14400. CI − SI = 7200 is interest on the first year's interest, so rate = 7200/14400 = 50 percent. Principal = 14400 / 0.5 = Rs. 28800.

Q12DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
A train of length 210 metres is running at a speed of 54 km/hr. In how much time it will completely cross a platform of 390 metres?
  1. A50 seconds
  2. B60 seconds
  3. C40 seconds
  4. D30 seconds
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Correct answer: (C) 40 seconds

Explanation

Distance = 210 + 390 = 600 m and speed = 54 × 5/18 = 15 m/s. Time = 600/15 = 40 seconds.

Q13DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
What is the value of 33 ÷ 11 + 75 ÷ 5 × 2 – 6 ÷ 12 × 30?
  1. A15
  2. B18
  3. C9
  4. D42
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Correct answer: (B) 18

Explanation

Using BODMAS: 33 ÷ 11 = 3, 75 ÷ 5 × 2 = 30, 6 ÷ 12 × 30 = 15. So 3 + 30 − 15 = 18.

Q14DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The population of a town is 30000. If every year the population increases by 20 percent, then what will be the population of the town after 3 years?
  1. A51840
  2. B51720
  3. C50820
  4. D48000
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Correct answer: (A) 51840

Explanation

Population after 3 years = 30000 × 1.2³ = 30000 × 1.728 = 51840.

Q15DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
What is the Highest Common Factor of 12, 36 and 240
  1. A12
  2. B30
  3. C18
  4. D480
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Correct answer: (A) 12

Explanation

12 divides 36 (12 × 3) and 240 (12 × 20), and no larger number divides 12, so the HCF is 12.

Q16DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The breadth of a rectangular hall is 5/8 of its length. If the area of the floor is 160 metre², then what is the difference between the length and breadth of the hall?
  1. A8 metre
  2. B6 metre
  3. C10 metre
  4. D4 metre
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Correct answer: (B) 6 metre

Explanation

Area = L × 5L/8 = 160, so L² = 256 and L = 16 m, B = 10 m. Difference = 6 m.

Q17DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
X and Y together can complete a work in 60 days. Y and Z together can complete the same work in 90 days. If X, Y and Z all work together, then the same work gets completed in 45 days. How many days will X and Z together take to complete the same work?
  1. A120 days
  2. B90 days
  3. C60 days
  4. D150 days
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Correct answer: (C) 60 days

Explanation

X = (X+Y+Z) − (Y+Z) = 1/45 − 1/90 = 1/90; Z = 1/45 − 1/60 = 1/180. X + Z = 1/90 + 1/180 = 1/60, so 60 days.

Q18DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The pie chart given below shows the number of employees in 6 different companies. The total number of employees in all these 6 companies 18000. The number of employees in a particular company is shown in terms of degree with respect to the total number of employee in all these 6 companies. Which of the following statement is correct? I. The difference between average number of employee in company C1 and C2 and the average number of employee in company C3 and C5 are 150. II. The number of employee in company C6 is 50 percent of the number of employee in company C4. III. The ratio of number of employee in company C2 to the number of employee in C6 are 2: 15.
  1. AI, II and III
  2. BI and II
  3. CII and III
  4. DI and III
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Correct answer: (D) I and III

Explanation

Each degree = 18000/360 = 50. I: avg of C1, C2 = 69° and of C3, C5 = 66°, difference 3° = 150, true. III: C2 : C6 = 8 : 60 = 2 : 15, true. II is false: C6 (60°) is twice C4 (30°), not half.

Q19DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
A truck left 8 hours early than the scheduled time and in order to reach its destination 600 km away on time, it had to decrease its usual speed by 20 km/hr. What is the usual speed of the truck?
  1. A30 km/hr
  2. B50 km/hr
  3. C40 km/hr
  4. D60 km/hr
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Correct answer: (B) 50 km/hr

Explanation

600/(s − 20) − 600/s = 8 gives s(s − 20) = 1500, so s = 50 km/hr. Check: 600/30 − 600/50 = 20 − 12 = 8 hours.

Q20DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
The simple interest on a sum for 11 years is Rs. 42000. The rate of interest for the first 4 years is 3 percent per annum and for the next 7 years is 9 percent per annum. What is the sum?
  1. ARs. 70000
  2. BRs. 56000
  3. CRs. 60000
  4. DRs. 58000
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Correct answer: (B) Rs. 56000

Explanation

Total rate over the period = 4 × 3 + 7 × 9 = 75 percent of the sum. So sum = 42000 / 0.75 = Rs. 56000.

How to use these DSSSB TGT / PGT Mathematics questions

Every question here was asked in a real DSSSB TGT / PGT paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full DSSSB TGT / PGT papers as timed tests to check your speed under exam conditions.

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