Quantitative Aptitude Practice Question and Answer
8Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2146 15b5cc72ce4d2b4197774f79c
5b5cc72ce4d2b4197774f79c- 142.2 mtsfalse
- 233.45 mtsfalse
- 366.6 mtstrue
- 458.78 mtsfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "66.6 mts"
Explanation :
Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.
Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2143 05b5cc6e5e4d2b4197774ed3d
5b5cc6e5e4d2b4197774ed3d- 114 daystrue
- 218 daysfalse
- 321 deaysfalse
- 416 daysfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "14 days"
Explanation :
Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.
Q: Find out the wrong term in the given series of numbers ?6, 15, 35, 77, 165, 221 2141 05b5cc728e4d2b4197774f6dc
5b5cc728e4d2b4197774f6dc- 135false
- 2165true
- 3221false
- 477false
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "165"
Explanation :
Answer: B) 165 Explanation: The given series follow the rule that : Multiplying consecutive prime numbers2,3,5,7,11,13,17,19....2x3 = 63x5 = 155x7 = 357x11 = 7711x13 = 14313x17 = 221So, the wrong term is 165.
Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2140 05b5cc6bbe4d2b4197774d802
5b5cc6bbe4d2b4197774d802- 170 litfalse
- 2170 littrue
- 390 litfalse
- 4190 litfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "170 lit"
Explanation :
Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.
Q: What number should replace the question mark? 125, 138, 164, ?, 255 2139 05b5cc6a1e4d2b4197774cabd
5b5cc6a1e4d2b4197774cabd- 1189false
- 2197false
- 3200false
- 4203true
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "203"
Explanation :
Answer: D) 203 Explanation: The given number series is 125, 138, 164, ?, 255 125 125 + 13x1 = 138 138 + 13x2 = 164 164 + 13x3 = 203 203 + 13x4 = 255 Hence, the missing number in the series is 203.
Q: 25% of 25% Is Equal To 2135 05b5cc6bae4d2b4197774d78a
5b5cc6bae4d2b4197774d78a- 10.0625true
- 20.0210false
- 30.03145false
- 40.3210false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "0.0625"
Explanation :
Answer: A) 0.0625 Explanation: 25% of 25% means 25/100 of 25/100 i.e, 1/4 of 1/4 or in other words 1/4 x 1/4=1/16 Hence, the answer is 1/16 = 0.0625.
Q: A shop keeper sells an article at a loss of 8%, but when he increases the selling price of the article by Rs. 164 he earns a profit of 2.25% on the cost price. If he sells the same article at Rs. 1760, what is his profit percentage? 2130 05b5cc62ae4d2b4197774b89f
5b5cc62ae4d2b4197774b89f- 12.5%false
- 25%false
- 310%true
- 47.5%false
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "10%"
Explanation :
Answer: C) 10% Explanation: According to the given data, Let Cost price of the article be 'cp' Then, 102.25 cp - 92 cp = 164 x 100 10.25 cp = 16400 cp = 1600 Now, if he sells at Rs. 1760 Profit = 1760 - 1600 = 160 Profit% = 160/1600 x 100 = 10%.
Q: If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ? 2129 05b5cc728e4d2b4197774f6c8
5b5cc728e4d2b4197774f6c8- 113/125false
- 214/57false
- 311/120true
- 416/41false
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "11/120"
Explanation :
Answer: C) 11/120 Explanation: Let the numbers be a and b.We know that product of two numbers = Product of their HCF and LCMThen, a + b = 55 and ab = 5 x 120 = 600.=> The required sum = (1/a) + (1/b) = (a+b)/ab=55/600 = 11/120