Quant Boosters - Maneesh - Set 4


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    100 - (30 + 25 + 20 + 15) = 10


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q11) N is a four-digit number in which each of the digits used appears at least two times. The number of different values that N can assume is


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    let first digit is 1 then other 3 digits can be 1 itself --> 1 way
    one of them can be 1 and other two any of (0,2,3....9) --> 3 * 9 = 27
    total 27 + 1 = 28

    similarly when first digit is 2,3,4...9 --> 9 * 28 = 252


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q12) There are 2 bags, one consists of 3 red and 4 black balls and the other consists of 4 red and 2 black balls. One bag is selected at random and from a selected bag a ball is drawn. Let E be an event that first bag is selected, F be an event that second bag is selected, G be an event that a ball drawn is red. Find P(G/E).


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    P(G/E) = P(GnE)/P(E)
    P(GnE) = 1/2 * 3/7 = 3/14
    P(E) = 1/2
    P(G/E) = 3 * 2/14 = 3/7


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q13) The average age of A ,B ,C ,D five years ago was 45 years. By including X, the present average age of all the five is 49 years.The present age of X is
    a) 64 years
    b) 48 years
    c) 45 years
    d) 40 years


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Total Age 5 years ago = 180
    Total age now = 180 + 20 = 200
    X included,total age = 5 * 49 = 245
    Age of X = 45


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q14) There are 42 students in a hostel. Due to admission of 13 new students, the expenses of mess increase by Rs 31 per day while the average expenditure per head diminished by Rs 3. What was the original expenditure of the mess ?


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Let average expenditure is A
    Total expenditure is 42 A
    After 13 students joined new expenditure = 42A + 31
    Total expenditure 55(A-3)
    55(A-3) = 42A+31
    55A-165 = 42A+31
    13A = 196
    A = 196/13
    original expenditure = 42A = 42 * 196/13 = 633.23


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q15) If we divide a given two-digit number by the product of its digits, we obtain 3 as quotient and 9 as a remainder . If we subtract the product of the digits constituting the number, from the square of the sum of its digits, we obtain the given number. Find the number


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    10x+y = 3xy+9
    (x+y)^2-xy = 10x+y
    x^2+y^2+xy = 10x+y
    x^2+y^2+xy = 3xy+9
    x^2+y^2-2xy = 9
    (x-y)^2 = 9

    x-y = +3
    10y+30+y = 9+3y(y+3)
    11y+30 = 9+3y^2+9y
    3y^2-2y-21 = 0
    y = 2+-16/6 = 18/6 = 3
    x = 6

    or

    x - y = -3
    x = y-3
    11y-30 = 9+3y(y-3)
    11y-30 = 9+3y^2-9y
    3y^2-20y+39 = 0

    b^2- 4ac = 400- 468 = -68 hence no real roots

    hence x= 6, y =3
    number 63


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q16) How many numbers from 1000 to 10000 have their digits in AP or GP if we consider the digits from left to right?


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    If digits in AP ...possibilities - common difference 0, 1, 2, -1, -2, -3
    if digits in GP...possibilities - common ratio 1/2, 2

    common difference 0....9 possibilities
    common difference 1....6 possibilities
    common difference 2.....3 possibilities
    common difference -1.....7 possibilities
    common difference -2.....4 possibilities
    common difference -3......1 possibility

    common ratio 1/2 ......1 possibility
    common ratio 2 .....one possibility

    total 32


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q17) The product of three numbers in GP is 1000 and the sum of the products of the numbers taken in pairs is 350. Find out the greatest of three numbers.


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    a/r, a, ar
    a^3 = 1000, a = 10
    a^2/r + a^2 + a^2r = 350
    100/r + 100r = 250
    2r^2 - 5r + 2 = 0
    r = 1/2 , 2
    numbers 5, 10, 20
    Greatest is 20


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q18) How many three digit numbers increase by 495 when their digits are reversed?
    a) 4
    b) 20
    c) 40
    d) 100


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    100x + 10y + z -100z - 10y - x = 495
    99x - 99z = 495
    x - z = 5
    (9,4)(8,3)(7,2)(6,1)
    y : 0 to 9 --> 10 values
    4 * 10 = 40


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q19) A boy tries to climb a 15m greased pole. Each attempt, the boy climbs 3 m and slips back 2 m. How many attempts will it take to climb 10m of the pole?


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    in one attempt net value of distance boy climb is 3–2 = 1m
    in 6 attempts boy climbs = 6 m
    in the 7th attempt, he climbs = 6+3–2 = 7 m
    in the eighth attempt he reaches 7+3 = 10 m
    Hence answer 8 attempts


  • Converted IIM Indore call | Mentor for Banking/RBI/SSC exams


    Q20) What is the remainder when (32^32)^32 is divided by 9?


 

Looks like your connection to MBAtious was lost, please wait while we try to reconnect.