IIT JEE Practice Question and Answer
8Q: How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ? 1790 05b5cc74fe4d2b4197774fb49
5b5cc74fe4d2b4197774fb49- 19216true
- 210246false
- 312345false
- 47527false
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Answer : 1. "9216"
Explanation :
Answer: A) 9216 Explanation: It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch. In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches) Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet. That is 9,216 of those squares.
Q: Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ? 1790 05b5cc736e4d2b4197774f850
5b5cc736e4d2b4197774f850- 125 : 114false
- 235 : 103true
- 315 : 108false
- 441 : 94false
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Answer : 2. "35 : 103"
Explanation :
Answer: B) 35 : 103 Explanation: Santhosh's investment = 6000 x 70/100 = Rs.4200Rajitha's investment = 4200 x 5/4 = Rs.5250Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.Required ratio = 5250 : 15450 = 35 : 103.
Q: Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ? 1789 05b5cc6cee4d2b4197774e203
5b5cc6cee4d2b4197774e203- 141.25 daystrue
- 237.5 daysfalse
- 339.75 daysfalse
- 440 daysfalse
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Answer : 1. "41.25 days"
Explanation :
Answer: A) 41.25 days Explanation: Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days. Let the initial speed be '1' Hence, Time = 22(24hrs - 2) Noe new speed = 2/3 Let the number of days he take be 'D' Therefore, 2224-2x3200=D24-2x2250 D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.
Q: A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red? 1789 05b5cc6a9e4d2b4197774cef6
5b5cc6a9e4d2b4197774cef6- 12/3true
- 21/8false
- 33/8false
- 43/4false
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Answer : 1. "2/3"
Explanation :
Answer: A) 2/3 Explanation: Given number of balls = 3 + 5 + 7 = 15 One ball is drawn randomly = 15C1 probability that it is either pink or red = 7C1 + 3C115C1 = 7 + 315 = 1015 = 23
Q: How long can a beaver hold its breath? 1788 05b5cc61ee4d2b4197774b79d
5b5cc61ee4d2b4197774b79d- 115 mintrue
- 225 minfalse
- 335 minfalse
- 455 minfalse
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Answer : 1. "15 min"
Explanation :
Answer: A) 15 min Explanation: Beavers Can Hold Their Breath for 15 Minutes Underwater. The behavior of beavers means that they need to be able to remain underwater for several minutes at a time.
Q: Translator program used in assembly language 1788 05b5cc64de4d2b4197774bc75
5b5cc64de4d2b4197774bc75- 1Assemblertrue
- 2Interpreterfalse
- 3Compilerfalse
- 4Operating systemfalse
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Answer : 1. "Assembler"
Explanation :
Answer: A) Assembler Explanation: Assemblers are used to translate a program written in a low-level assembly language into a machine code (object code) file so it can be used and executed by the computer. Hence, Assembler is the translator program used in assembly language.
Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 1788 05b5cc709e4d2b4197774f258
5b5cc709e4d2b4197774f258- 13false
- 22false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0
Q: Guess the Hiding Letter ? 1787 05b5cc6d2e4d2b4197774e462
5b5cc6d2e4d2b4197774e462- 1Dfalse
- 2Kfalse
- 3Lfalse
- 4Gtrue
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Answer : 4. "G"
Explanation :
Answer: D) G Explanation: Starting from letter 'S' add 5 in the clock wise direction to get the next letter in English alphabets. Here S + 5 => 19 + 5 = 24 => X X + 5 = 24 + 5 = 3 => C Similarly, B + 5 = G

