IIT JEE Practice Question and Answer
8Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2264 05b5cc73ae4d2b4197774f89c
5b5cc73ae4d2b4197774f89c- 16.5%false
- 26%false
- 35%true
- 44.5%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .
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 ? 2261 05b5cc728e4d2b4197774f6c8
5b5cc728e4d2b4197774f6c8- 113/125false
- 214/57false
- 311/120true
- 416/41false
- Show AnswerHide 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
Q: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2257 05b5cc6dfe4d2b4197774eb0c
5b5cc6dfe4d2b4197774eb0c- 1300false
- 2150true
- 3175false
- 4200false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "150"
Explanation :
Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.
Q: The capacity of a tank is 2400 m3. A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. 2256 05b5cc6b1e4d2b4197774d332
5b5cc6b1e4d2b4197774d332- 146 cub.m/minfalse
- 244 cub.m/minfalse
- 348 cub.m/minfalse
- 450 cub.m/mintrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "50 cub.m/min"
Explanation :
Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min
Q: Which Indian state shares the most borders with other states? 2255 05b5cc626e4d2b4197774b850
5b5cc626e4d2b4197774b850- 1Uttarakhandfalse
- 2Rajasthanfalse
- 3Madhya Pradeshfalse
- 4Uttar Pradeshtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Uttar Pradesh"
Explanation :
Answer: D) Uttar Pradesh Explanation: Uttar Pradesh is the Indian state which share the most borders with 9 different states. Neighbouring States of Uttar Pradesh – Uttarakhand and Himachal Pradesh in northwest, Delhi, Haryana and Rajasthan in west, Madhya Pradesh in south, Chhattisgarh in southeast, Bihar and Jharkhand in east.
Q: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2251 05b5cc6bbe4d2b4197774d85d
5b5cc6bbe4d2b4197774d85d- 128 cmfalse
- 23.5 cmfalse
- 37 cmfalse
- 414 cmtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "14 cm"
Explanation :
Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.
Q: What comes next in this sequence 196, 169, 144, 121, 100, 81, ? 2249 05b5cc6ade4d2b4197774d13e
5b5cc6ade4d2b4197774d13e- 177false
- 274false
- 367false
- 464true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "64"
Explanation :
Answer: D) 64 Explanation: The given number series follows a pattern that 196, 169, 144, 121, 100, 81, ? -27 -25 -23 -21 -19 -17 => 81 - 17 = 64 Therefore, the series is 196, 169, 144, 121, 100, 81, 64.
Q: The law of increasing opportunity costs states that 2249 05b5cc642e4d2b4197774bb24
5b5cc642e4d2b4197774bb24- 1along a production possibilites curve, increases in the production of one good make the production of that good easier and easierfalse
- 2increases in wages cause increases in the costs of productionfalse
- 3costs of production increases and then decreasesfalse
- 4along a production possibilities curve, increases in the production of one good require larger and larger sacrifices of the other goodtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "along a production possibilities curve, increases in the production of one good require larger and larger sacrifices of the other good"
Explanation :
Answer: D) along a production possibilities curve, increases in the production of one good require larger and larger sacrifices of the other good Explanation: Opportunity cost is the cost of what you are giving up to do what you are currently doing. If you can either go to work or go to the beach, and you choose to work, the opportunity cost of working is the value you would have gotten had you gone to the beach. The law of increasing opportunity costs states that as you increase production of one good, the opportunity cost to produce an additional good will increase.