TU FoM | Quantitative Ability
If $2^{x+1} = 32$, then $x$ is
Answer: 4
Model set 1, Q40: explanation →The value of $\log_{10} 1000 + \log_{10} 0.01$ is
Answer: 1
Model set 1, Q41: explanation →In a class, 30 students like tea, 25 like coffee and 10 like both. The number who like at least one of the two is
Answer: 45
Model set 1, Q42: explanation →The sum of the first 10 terms of the sequence 2, 5, 8, 11, ... is
Answer: 155
Model set 1, Q43: explanation →In how many ways can a committee of 3 be chosen from 6 persons?
Answer: 20
Model set 1, Q44: explanation →The roots of $x^2 - 7x + 12 = 0$ are
Answer: 3 and 4
Model set 1, Q46: explanation →The product of the roots of $2x^2 - 8x + 6 = 0$ is
Answer: 3
Model set 1, Q47: explanation →20% of 40% of 500 is
Answer: 40
Model set 1, Q32: explanation →The price of an article is increased by 25% and then decreased by 20%. The net change in price is
Answer: No change
Model set 1, Q33: explanation →A price is increased by 20% and then decreased by 20%. The net change is:
Answer: 4% decrease
Model set 2, Q35: explanation →An article bought for Rs 800 is sold for Rs 920. The profit percent is
Answer: 15%
Model set 1, Q34: explanation →A shopkeeper sells an article at a loss of 20% for Rs 640. Its cost price was
Answer: Rs 800
Model set 1, Q35: explanation →An article bought for Rs 800 is sold for Rs 920. The profit percent is:
Answer: 15%
Model set 2, Q36: explanation →A can finish a job in 12 days and B in 24 days. Working together they finish it in
Answer: 8 days
Model set 1, Q38: explanation →6 men can complete a piece of work in 10 days. How many days will 4 men take?
Answer: 15 days
Model set 1, Q39: explanation →A can finish a job in 12 days and B in 6 days. Working together they finish it in:
Answer: 4 days
Model set 2, Q39: explanation →Two fair dice are thrown. The probability that the sum of the numbers is 7 is
Answer: $\frac{1}{6}$
Model set 1, Q45: explanation →The median of the data 12, 5, 9, 20, 7 is
Answer: 9
Model set 1, Q48: explanation →The range of the data 14, 22, 9, 31, 18 is
Answer: 22
Model set 1, Q49: explanation →What is the largest prime number less than 50?
Answer: 47
Model set 1, Q26: explanation →The product of the HCF and LCM of 12 and 18 is:
Answer: 216
Model set 2, Q45: explanation →The HCF of 36 and 48 is
Answer: 12
Model set 1, Q27: explanation →The LCM of 12, 18 and 30 is
Answer: 180
Model set 1, Q28: explanation →The average of five numbers is 24. If four of them are 20, 22, 25 and 28, the fifth number is
Answer: 25
Model set 1, Q29: explanation →The average of 5 numbers is 24. When one number is removed the average of the rest becomes 22. The removed number is:
Answer: 32
Model set 2, Q42: explanation →Rs 7,200 is divided among three persons in the ratio 5 : 3 : 1. The largest share is
Answer: Rs 4,000
Model set 1, Q30: explanation →If 8 pens cost Rs 120, the cost of 15 pens is
Answer: Rs 225
Model set 1, Q31: explanation →The simple interest on Rs 5,000 at 8% per annum for 3 years is
Answer: Rs 1,200
Model set 1, Q36: explanation →The simple interest on Rs 5,000 at 8% per annum for 3 years is:
Answer: Rs 1,200
Model set 2, Q37: explanation →The compound interest on Rs 10,000 at 10% per annum for 2 years (compounded annually) is
Answer: Rs 2,100
Model set 1, Q37: explanation →The compound interest on Rs 10,000 at 10% per annum for 2 years is:
Answer: Rs 2,100
Model set 2, Q38: explanation →A train covers 180 km in 3 hours. At the same speed, the distance covered in 5 hours is
Answer: 300 km
Model set 1, Q50: explanation →A 40 litre mixture contains milk and water in the ratio 3 : 1. How much water must be added to make the ratio 3 : 2?
Answer: 10 litres
Model set 2, Q26: explanation →Rice costing Rs 40 per kg is mixed with rice costing Rs 60 per kg in the ratio 3 : 2. The cost of the mixture per kg is:
Answer: Rs 48
Model set 2, Q27: explanation →A invests Rs 20,000 for 12 months and B invests Rs 30,000 for 8 months. If the profit is Rs 9,000, B's share is:
Answer: Rs 4,500
Model set 2, Q28: explanation →A car runs at 50 km/h for 3 hours and then at 70 km/h for 2 hours. Its average speed is:
Answer: 58 km/h
Model set 2, Q29: explanation →A 150 m long train moving at 54 km/h passes a pole in:
Answer: 10 seconds
Model set 2, Q30: explanation →The value of $\log_2 32+\log_3 9$ is:
Answer: 7
Model set 2, Q31: explanation →If $\log_{10}x=2\log_{10}3-\log_{10}4$, then $x$ equals:
Answer:
Model set 2, Q32: explanation →If $x+\dfrac{1}{x}=3$, then $x^2+\dfrac{1}{x^2}$ equals:
Answer: 7
Model set 2, Q33: explanation →The sum of the roots of $2x^2-7x+3=0$ is:
Answer:
Model set 2, Q34: explanation →A pipe fills a tank in 6 hours and a leak empties it in 12 hours. With both open, the tank fills in:
Answer: 12 hours
Model set 2, Q40: explanation →Rs 1,200 is divided among three people in the ratio 2 : 3 : 5. The largest share is:
Answer: Rs 600
Model set 2, Q41: explanation →A father is three times as old as his son. After 10 years he will be twice as old. The father's present age is:
Answer: 30 years
Model set 2, Q43: explanation →Is the integer $n$ even? P: $n+1$ is odd. Q: $n$ is a multiple of 3. Which is true?
Answer: P alone is sufficient
Model set 2, Q44: explanation →A circle has circumference 44 cm. Taking $\pi=22/7$, its area is:
Answer: 154 cm$^2$
Model set 2, Q46: explanation →The area of a triangle with sides 6 cm, 8 cm and 10 cm is:
Answer: 24 cm$^2$
Model set 2, Q47: explanation →Solve: $3x-7=2x+5$.
Answer: $x=12$
Model set 2, Q48: explanation →A shirt marked at Rs 500 is sold after successive discounts of 10% and 20%. The selling price is:
Answer: Rs 360
Model set 2, Q49: explanation →Two coins are tossed together. The probability of getting at least one head is:
Answer:
Model set 2, Q50: explanation →