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IBPS Clerk Main: Quants Day 13

Hello Aspirants,

Welcome to Online Quant Section in AffairsCloud.com. We are starting IBPS Clerk course 2015 and we are creating sample questions in Quantitative Aptitude section, type of which will be asked in IBPS Clerk Main Exam.

Stratus – IBPS Clerk Course 2015 

Stratus - IBPS Clerk - Daily Test - Quants
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  1. 2 cards are drawn at random from a pack of 52 cards. Find the probability that either both are red cards or both are kings?
    A) 48/221
    B) 52/215
    C) 55/221
    D) 48/113
    E) 53/220
    C) 55/221
    Explanation:

    Prob. of both red = 26C2/52C2
    Prob. of both kings = 4C2/52C2
    Since there are also cads which are both red and king, so we will subtract there prob. There are 2 red cards which are kings
    Prob. of both red and king = 2C2/52C2
    So required prob. = 26C2/52C2 + 4C2/52C22C2/52C2

  2. P, Q and R start a business and invests Rs 5000, Rs 6000 and Rs 6500 respectively. All of them withdraw Rs 500 after 4 months and after a total of 8 months from the start of business all invest Rs 500 more. At the end of year, what will be the ratio in which they will get their shares from the profit?
    A) 27 : 33 : 35
    B) 33 : 21 : 65
    C) 35 : 38 : 42
    D) 29 : 35 : 38
    E) 25 : 28 : 31
    D) 29 : 35 : 38
    Explanation:

    After 4 months all withdraw Rs 500 and after another 4 months (8 months from start) all add Rs 500. So this means 5000, 6000 and 6500 are invested for 4+4 = 8 months and with Rs 500 withdraw 4500, 5500 and 6000 are invested for 4 months respectively by A, B and C.
    So ratio =
    5000*8 + 4500*4 : 6000*8 + 5500*4 : 6500*8 + 6000*4
    U are not required to calculate all the values, rather u can cancel out common terms, take 400 common
    50*2 + 45 : 60*2 + 55 : 65*2 + 60
    Again take 5 common from all, this gives
    10*2 + 9 : 12*2 + 11 : 13*2 + 12
    29 : 35 : 38

  3. Priya bought an article after successive discounts of 20% and 5%, the article which was marked at Rs 25,000. Now she also spends Rs 1,000 on the transportation and sells the article for Rs 25,000. What is the profit percent in this transaction?
    A) 32.5%
    B) 28%
    C) 22.5%
    D) 25%
    E) 24.5%
    D) 25%
    Explanation:

    Successive discounts of 20% and 5% makes overall discount of (-20) + (-5) + (-20)(-5)/100 = -25 +1 = -24%
    So she buys the article for [(100-24)/100] * 25000 = 19,000
    Spends 1000 on repairs, so total CP = 1000 + 19000 = 20,000
    SP = 25,000
    So profit% = (5000/20000) * 100

  4. Two varieties of rice at Rs 20 per kg and Rs 30 per kg respectively are mixed in the same ratio as of their prices. The mixture is then sold at Rs 39 per kg. What is the profit %?
    A) 34 1/3%
    B) 25%
    C) 45.5%
    D) 50%
    E) 16 2/3%
    D) 50%
    Explanation:

    Let CP of mixture is x
    By method of allegation:
    A(20kg) B(30 kg)
    20 30
    . x
    (30-x) (x-20)
    Then, (30-x)/(x-20) = 20/30
    Solve, x = 26
    SP = 39
    So profit% = [(39-26)/26] * 100

  5. 12 men complete a piece of work in 4 days and 15 women complete the same work in 4 days. The work is started by 6 men and after working for 2 days, they leave and some women are employed to complete the remaining work in 3 days. What is the number of women engaged in work?
    A) 18
    B) 20
    C) 15
    D) 16
    E) Cannot be determined
    C) 15
    Explanation:

    12 m in 4 days do 1 work so 6 men in 2 days do 6*2/12*4 = 1/4th of work
    Now 1 – (1/4) = 3/4 of work is remaining that is to be done by x women
    15 w do 1 work in 4 days, so x women will do 3/4 work in 3 days
    15*4*(3/4) = x*3*1

Directions(6-10): Study the pie-chart and table carefully to answer the questions that follow:
Pie-chart showing percentagewise distribution of cars in four different states
Total cars = 700main_day13_1

The table shows the ratio of females to males in the departments

Departments Females Males
Accounts 3 4
Manufacturing 5 9
HR 5 3
Networking 1 1

  1. What is the difference between the number of females in Manufacturing and the number of males in Networking?
    A) 44
    B) 36
    C) 61
    D) 21
    E) 35
    D) 21
    Explanation:

    (5/14)*(28/100)*700 – (1/2)*(26/100)*700

  2. Number of males in HR is what percent more than the number of females in Accounts?
    A) 150%
    B) 125%
    C) 200%
    D) 100%
    E) 250%
    D) 100%
    Explanation:

    Males in HR = (3/8)*(32/100)*700 = 84
    Females in Accounts = (3/7)*(14/100)*700 = 42
    Required % = (84-42)/42 * 100

  3. If 25% of females in HR are married and remaining females are unmarried, what is the number of females in HR which are unmarried?
    A) 80
    B) 120
    C) 105
    D) 125
    E) 95
    C) 105
    Explanation:

    Unmarried = 75%
    So unmarried females in HR = (75/100)*(5/8)*(32/100)*700 =

  4. What is the difference between the total number of employees in HR and the number of males in Manufacturing?
    A) 75
    B) 98
    C) 89
    D) 112
    E) 105
    B) 98
    Explanation:

    Total in HR= (32/100)*700 = 224
    Males in manufacturing = (9/14)*(28/100)*700 = 126
    224-126

  5. What is the average number of males in all the departments together?
    A) 89.25
    B) 89.75
    C) 86.75
    D) 88.25
    E) None of these
    A) 89.25
    Explanation:

    [ [(4/7)*(14/100) + (9/14)*(28/100) + (3/8)*(32/100) + (1/2)*(26/100)] * 700 ] / 4