111
A shopkeeper marks up the price of an article by 20% and then offers a discount of 15% on the marked price. What is the overall profit percentage? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
A. 17%
B. 18%
C. 19%
D. 20%
💡 Marked price = Cost Price * 1.20. Discounted price = Marked price * 0.85. Profit % = ((Discounted Price - CP) / CP) * 100 = 18%
112
Two trains A and B start from the same station at the same time and move in opposite directions with speeds of 48 km/hr and 36 km/hr respectively. After how much time will they be 312 km apart? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
A. 2.5 hours
B. 3 hours
C. 3.5 hours
D. 4 hours
💡 Relative speed = 48 + 36 = 84 km/hr. Time = Distance / Speed = 312 / 84 = 3 hours
113
If a = 0.2, b = 0.4, and c = 0.8, then what is the value of (a + b + c)(a² + b² + c²) / (a³ + b³ + c³)? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
💡 Using the identity a³ + b³ + c³ - 3abc = (a+b+c)(a²+b²+c²-ab-bc-ca), and simplifying, the expression equals 1.
114
A and B can do a piece of work in 12 days and 15 days respectively. If they work together, how many days will it take to complete the work? However, B is assisted by C, who can do the work in 20 days. How many days will it take to complete the work if A and B work together with C? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
💡 A's work per day = 1/12, B's work per day = 1/15. Together = (1/12 + 1/15) = 1/8 days. If B is assisted by C, B+C work per day = 1/15 + 1/20 = 7/60. A+B+C = 1/12 + 7/60 = 10/60 + 7/60 = 17/60. Time = 60/17 which is not an option. The question is flawed.
115
A rectangular plot has an area of 1600 sq. meters. If its length is 4 times its width, what is the perimeter of the plot? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
A. 160 meters
B. 200 meters
C. 240 meters
D. 280 meters
💡 Let width = x, length = 4x. Area = x * 4x = 4x² = 1600. x² = 400, x = 20. Length = 80, Width = 20. Perimeter = 2(80 + 20) = 200 meters.
116
If the price of an article is increased by 10% and then decreased by 10%, what is the net change in the price? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
💡 Let the original price be 100. Increased by 10% = 110. Decreased by 10% = 110 * 0.9 = 99. Net change = 99 - 100 = -1. Percentage change = -1/100 * 100 = -1%, so a 1% decrease.
117
A cistern can be filled by one pipe in 10 hours and emptied by another pipe in 15 hours. How long will it take to fill the cistern if both pipes are opened simultaneously? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
A. 6 hours
B. 7 hours
C. 7.5 hours
D. 8 hours
💡 Pipe 1 fills 1/10 of the cistern per hour. Pipe 2 empties 1/15 of the cistern per hour. Combined rate = (1/10 - 1/15) = (3-2)/30 = 1/30. Time to fill = 30 hours.
118
The average of 5 numbers is 25. If the sum of the first two numbers is 40, and the sum of the last two numbers is 50, what is the middle number? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
💡 Sum of 5 numbers = 5 * 25 = 125. Sum of first two = 40, sum of last two = 50. Middle number = 125 - 40 - 50 = 35.
119
A man buys a bicycle for Rs. 1200 and sells it at a loss of 8%. At what price does he sell the bicycle? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
A. Rs. 1056
B. Rs. 1104
C. Rs. 1152
D. Rs. 1200
💡 Loss = 8% of 1200 = 0.08 * 1200 = 96. Selling price = 1200 - 96 = 1104.
120
A circle is inscribed in a square of side 10 cm. What is the area of the region between the square and the circle? 🔢 Numerical Ability
Bank PO (Moderate) + SSC (Hard)
2026-04-20
A. 20π cm²
B. 40π cm²
C. 60π cm²
D. 80π cm²
💡 Radius of circle = 5 cm. Area of circle = πr² = 25π cm². Area of square = 10² = 100 cm². Area between square and circle = 100 - 25π cm².