<![CDATA[Quant Boosters - Hemant Yadav - Set 2]]>Number of Questions - 30
Topic - Quant Mixed Bag
Solved ? : Yes
Source : Collection of solved questions from Hemant Yadav, Math faculty - FIITJEE
]]>https://www.mbatious.com/topic/1077/quant-boosters-hemant-yadav-set-2RSS for NodeWed, 21 Aug 2019 02:55:33 GMTWed, 24 Jan 2018 05:14:23 GMT60<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Mon, 29 Jan 2018 05:22:53 GMT]]>Number of Questions - 30
Topic - Quant Mixed Bag
Solved ? : Yes
Source : Collection of solved questions from Hemant Yadav, Math faculty - FIITJEE
]]>https://www.mbatious.com/post/11995https://www.mbatious.com/post/11995Mon, 29 Jan 2018 05:22:53 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:28:34 GMT]]>Q1) Let ABC be a right angled triangle with angle B = 90° and let BD be the altitude from B on to AC. Draw DE perpendicular to AB and DF perpendicular to BC. Let P, Q, R and S be respectively the incenters of triangle DFC, DBF, DEB and DAE. Find the measure of angle PDR.

[OA : 90]

]]>https://www.mbatious.com/post/11996https://www.mbatious.com/post/11996Tue, 30 Jan 2018 06:28:34 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:28:42 GMT]]>Q2) If length of two altitudes of a triangle are 2 and 3, then how many integral values the third altitude can take ?
a) 2
b) 3
c) 4
d) More than 4
]]>https://www.mbatious.com/post/11997https://www.mbatious.com/post/11997Tue, 30 Jan 2018 06:28:42 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:28:50 GMT]]>Q3) How many 7 digit numbers can be formed using the digits 2, 3, 4, 5, 6, 7, 8 (with repetition) such that they are divisible by 7

[OA : 7^6]

]]>https://www.mbatious.com/post/11999https://www.mbatious.com/post/11999Tue, 30 Jan 2018 06:28:50 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:28:59 GMT]]>Q4) Six children are standing along the x-axis at points (0, 0), (17, 0), (40, 0), (85, 0), (173, 0), (440, 0). The children decide to meet at some point along the x-axis. What is the minimum total distance the children must walk in order to meet?
]]>https://www.mbatious.com/post/12000https://www.mbatious.com/post/12000Tue, 30 Jan 2018 06:28:59 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:29:07 GMT]]>Q5) A large bottle contains a collection of coins. When you examine the contents you are amazed to discover that there is an equal number of each type of denomination: 1p, 2p, 5p, 10p, 20p, 50p, Re1, and Rs2. Even more remarkable is that if you remove one coin there will be an exact amount in rupees. What is the smallest amount, in rupees, that could be in the bottle after removing a coin?

[OA : 58]

]]>https://www.mbatious.com/post/12002https://www.mbatious.com/post/12002Tue, 30 Jan 2018 06:29:07 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:29:14 GMT]]>Q6) If A = {1, 2, 3, 4, ..., 10} and P, Q, R are subsets of A such that P U Q = R, then find the number ordered triplets (P, Q, R).

[OA : 2^20]

]]>https://www.mbatious.com/post/12003https://www.mbatious.com/post/12003Tue, 30 Jan 2018 06:29:14 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:29:21 GMT]]>Q7) How many 11 digit numbers can be formed using digits 1, 2, 3, ..., 9 (repetition allowed) which are divisible by 4 ?

[OA : 9^9 * 18]

]]>https://www.mbatious.com/post/12004https://www.mbatious.com/post/12004Tue, 30 Jan 2018 06:29:21 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:29:28 GMT]]>Q8) How many natural triples a, b, c are there such that (a + b)(b + c)(a + c) = 340

[OA : 0]

]]>https://www.mbatious.com/post/12005https://www.mbatious.com/post/12005Tue, 30 Jan 2018 06:29:28 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:29:43 GMT]]>Q9) A and B live at opposite ends of the same street. They leave their houses at the same time and each run, at constant speed, from their house to the other house and back. The first time they meet, they are 400 meters from A's house, and the second time they meet, they are 300 meters from B's house. Both times they are traveling in opposite directions. What is the distance between the two houses?
]]>https://www.mbatious.com/post/12006https://www.mbatious.com/post/12006Tue, 30 Jan 2018 06:29:43 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:29:57 GMT]]>Q10) Let a(1), a(2),..a(2011) represents the arbitrary arrangement of the numbers 1, 2,..2011. Then what is the remainder when {a(1) – 1}{a(2) – 2}..{a(2011) – 2011} is divided by 2?

[OA : 0]

]]>https://www.mbatious.com/post/12008https://www.mbatious.com/post/12008Tue, 30 Jan 2018 06:29:57 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:30:05 GMT]]>Q11) Find the number of ways in which ABCDEFFFFF can be permuted such that no alphabet is at its initial position.

[OA : 120]

]]>https://www.mbatious.com/post/12009https://www.mbatious.com/post/12009Tue, 30 Jan 2018 06:30:05 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:30:15 GMT]]>Q12) In a class with 20 students, 14 wear glasses, 15 wear braces, 17 wear ear rings and 18 wear wigs. What is the minimum number of students in this class who wear all four items? (a) 4 (b) 6 (c) 7 (d) 9 (e) 10

[OA : 4]

]]>https://www.mbatious.com/post/12010https://www.mbatious.com/post/12010Tue, 30 Jan 2018 06:30:15 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:30:24 GMT]]>Q13) In the town there are only 2 types of coins, each worth a whole number of amount. If the highest value of amount that cannot be obtained by using any combination of the two coins is 35, then how many possible pairs of values can the coins have? (the first coin being worth 15 and the second being worth 4 is the same as the first being 4 and the second being 15)
]]>https://www.mbatious.com/post/12011https://www.mbatious.com/post/12011Tue, 30 Jan 2018 06:30:24 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:30:31 GMT]]>Q14) In a triangle ABC, AC = 6 cm and D is a point on BC such that BD = AD = CD = 5 cm, then find the length of AB.

[OA : 8 cm]

]]>https://www.mbatious.com/post/12013https://www.mbatious.com/post/12013Tue, 30 Jan 2018 06:30:31 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:30:39 GMT]]>Q15) If a convex N-gon has integral interior angles when measured in degrees, then what is the maximum possible value of N?

[OA : 360]

]]>https://www.mbatious.com/post/12014https://www.mbatious.com/post/12014Tue, 30 Jan 2018 06:30:39 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:30:48 GMT]]>Q16) A 1000 digit number has the property that every two consecutive digits form a number that is a product of four prime numbers. The digit in the 500th position is (a) 2 (b) 4 (c) 5 (d) 6 (e) 8

[OA : 8]

]]>https://www.mbatious.com/post/12015https://www.mbatious.com/post/12015Tue, 30 Jan 2018 06:30:48 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 06:31:00 GMT]]>Q17) A standard die with sides labelled 1 through 6 is rolled three times. Find the probability that the product of the three numbers rolled is divisible by 8.
]]>https://www.mbatious.com/post/12016https://www.mbatious.com/post/12016Tue, 30 Jan 2018 06:31:00 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:32:25 GMT]]>Q18) Smallest number to be added to 17 * 20 * 23 such that it becomes a perfect square is ?
]]>https://www.mbatious.com/post/12018https://www.mbatious.com/post/12018Tue, 30 Jan 2018 07:32:25 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:32:33 GMT]]>Q19) How many positive integral solutions does the equation x^2 + y^2 = 50 have?

[OA : 3]

]]>https://www.mbatious.com/post/12020https://www.mbatious.com/post/12020Tue, 30 Jan 2018 07:32:33 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:32:41 GMT]]>Q20) Sum of two positive numbers a and b is 1001, then how many different values HCF(a, b) can take ?
]]>https://www.mbatious.com/post/12021https://www.mbatious.com/post/12021Tue, 30 Jan 2018 07:32:41 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:32:49 GMT]]>Q21) a + b + c + d = 24, number of solutions such that a, b, c, d are distinct natural numbers
]]>https://www.mbatious.com/post/12023https://www.mbatious.com/post/12023Tue, 30 Jan 2018 07:32:49 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:33:08 GMT]]>Q22) Find the minimum value of |x - 1| + |2x - 1| + |3x - 1| + |4x - 1|

[OA : 4/3]

]]>https://www.mbatious.com/post/12025https://www.mbatious.com/post/12025Tue, 30 Jan 2018 07:33:08 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:33:15 GMT]]>Q23) There are three sugar solutions A, B and C. A is four litres with 45% concentration, B is five litres with 48% solution, C is one litre with k% solution. Now m/n litre of solution C is added to A and the remaining part is added to B such that both the resultant solutions are now 50% concentrated solutions. m and n are coprime to each other. Find the value of k + m + n.
]]>https://www.mbatious.com/post/12026https://www.mbatious.com/post/12026Tue, 30 Jan 2018 07:33:15 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:33:22 GMT]]>Q24) Number of ways in which 1050 can be written as sum of:-

consecutive integers

consecutive positive integers

consecutive even positive integers

consecutive odd positive integers

]]>https://www.mbatious.com/post/12027https://www.mbatious.com/post/12027Tue, 30 Jan 2018 07:33:22 GMT<![CDATA[Reply to Quant Boosters - Hemant Yadav - Set 2 on Tue, 30 Jan 2018 07:33:29 GMT]]>Q25) A kite of area K is inscribed in a circle of radius R . The length of the shorter side of kite is 7 cm . A parallelogram with shorter side 8 and area P is inscribed in the same circle. Which of the following is definitely true?
a. K > P
b. K = P
c. K < P
d. Can not say
]]>https://www.mbatious.com/post/12028https://www.mbatious.com/post/12028Tue, 30 Jan 2018 07:33:29 GMT