Quant Test for NIACL 2018 Prelim Exam Set – 1

Directions(1-5): What will come in place of question mark “?” in the following questions.

1. 1/2 of 3842 + 15% of ? = 2449
   3650
   4500
   4220
   3020
   3520
   Option E
   1/2 × 3842 + 15/100 × ? = 2449
   => ? = (528 × 100)/15
   => ? = 3520

    

2. 0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?
   0.03000
   0.03027
   0.43270
   0.04303
   0.03550
   Option B
   ? = 0.0003 – 0.00003 + 0.03 = 0.03027

    

3. √ (400/7 % of 1372 + 16/17 of 2499) = ?
   65
   50
   66
   56
   68
   Option D
   ? = √(784 + 2352) = √3136
   => ? = 56

    

4. 3564 + 3486 ÷ 10 + 57434 ÷ 100 – 67385 ÷ 100 =?
   4313.12
   2813.09
   3813.09
   3313.05
   3413.14
   Option C
   ? = 3564 + 348.6 + 574.34 – 673.85
   = 3813.09

    

5. [(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
   4.1
   3.9
   5.2
   4.4
   3.5
   Option D
   [(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
   => 434 ÷ 16 – 5.125 = ? × 5
   => 27.125 – 5.125 = ? × 5
   => 22 = ? × 5
   => ? = 22/5 = 4.4

    

Directions(6-10): Study the following tables carefully to answer the following questions that follow: Percentage break up of foreigners who toured of various states of India and the ratio of men to women in them.
Total Number of foreigners = 1800


6. What is the approximate average no. of male foreigners who toured all the states together?
   202
   220
   198
   285
   150
   Option A
   Required average = 1/5( 11/12 × 28 + 1/4 × 14 + 5/9 × 23 + 7/12 × 18 + 2/9 * 17) × 18
   = 1/5 (462 + 63 + 230 + 189 + 68)
   = 202.4 == 202

    

7. What is the number of male foreigners who toured of Goa and MP together?
   599
   660
   692
   550
   620
   Option C
   Required number of male foreigners toured of Goa and MP together
   = 11/12 × 28/100 × 1800 + 5/9 × 23/100 × 1800
   = 462 + 230 = 692

    

8. The number of female foreigners who toured of MP forms approximately what per cent of the total number of foreigners who toured of all states together?
   50%
   30%
   40%
   20%
   10%
   Option E
   Required percentage of female foreigners
   = ( 4/9 × 23/100 × 1800)/1800 × 100
   = 10%

    

9. The number of male foreigners who toured Goa forms what per cent of total number of foreigners who toured of Goa? (rounded off to two digits after decimal)
   89.25%
   91.67%
   85.65%
   93.14%
   88.65%
   Option B
   Male foreigners who toured Goa
   = 11/12 × 1800 × 28/100
   = 462
   Total foreigners who toured Goa = 28/100 × 1800 = 504
   Required percentage = 462/504 × 100 = 91.67%

    

10. What is the respective ratio of the number of female foreigners who toured of Uttrakhand and Jammu & Kashmir together and the total number of foreigners toured of these states together?
    443/513
    411/498
    421/506
    427/558
    400/557
    Option D
    Number of female foreigners who toured of Uttrakhand and Jammu & Kashmir together
    = 3/4 × 1800 × 14/100 + 7/9 × 17/100 × 1800
    = (189+238) = 427
    Also Total no. of foreigners who toured of these states = 14/100 × 1800 + 17/100 × 1800
    = 558
    Required ratio = 427/558