**Directions(1-5):** What will come in pkace of question mark in the following questions.

- 17.99^2 – 14.05^2 + (2343.75 + 81.55) ÷ ? = 229
2420182530Option A

17.99^2 – 14.05^2 + (2343.75 + 81.55) ÷ ? = 229

(18)^ 2 − (14)^ 2 + (2350 + 80) ÷ ? = 230

=> 324 – 196 + (2430) ÷ ? = 230

=> 2430 ÷ ? = 230 – 130

=> 2430 ÷ ? = 100

=> ? = 2430/100 = 24.3 == 24 - 7^ 2.3 × 7^( 2×4.7) × (7 × 9)^3.4 × (9^2 )^ 5.85 = 63^?
2011181512Option D

7^ 2.3 × 7^( 2×4.7) × (7 × 9)^3.4 × (9^2 )^ 5.85 = 63^? => 7^(2.3+9.4+3.4) × 9^(3.4+11.70) = (63)^?

=>7^15.1 × 9^15.1 = (63)^?

=> (63)^15.1 = (63)^?

=>? = 15.1 - √33124 * √2601 – (83)^2 = (?)^2 + (37) ^ 2
4834405332Option E

√33124 * √2601 – (83)^2 = (?)^2 + (37) ^ 2

=>182 * 51 – 6889 = (x)^2 + (37) ^ 2

=> 9282 – 6889 = (x)^2 + (37) ^ 2

=> 2393 = (x)^2 + (37) ^ 2

=> 2393 =(x)^2 +1369

=>1024 =(x)^2

=> x=√1024

=>x=32 - 5(17/37) × 4(51/52) × 11(1/7) + 2(3/4) = ?
320.41310.52415.33305.75300.00Option D

5(17/37) × 4(51/52) × 11(1/7) + 2(3/4) = ?

= 202/37 × 259/52 × 78/7 + 11/4 = ? = (202 × 7)/52 × 78/7 + 11/4

=> ? = (101 × 6)/2 + 11/4

=> ? = (1212 + 11)/4

= 1223/4 = 305.75 - 9/13 of 221 + 1(4/9) of 378 = 241 + ?
458400475550444Option A

9/13 of 221 + 1( 4/9) of 378 = 241 + ?

⇒ 9 × 17 + 13 × 42 = 241 + ?

⇒ 153 + 546 = 241 + ?

⇒ x = 458 - What percentage of total items produced by company U in 2010, 2014 and 2015 together are defective?
2.5%2%1.6%2.8%2.5%Option C

Total production in 2010, 2014 and 2015 by U = 44 + 42 + 19 = 105 lakh

Total defective = [44*2.2/100 + 42*1.5/100 + 19*0.4/100] = 1.674 lakh

Total production in 2010, 2014 and 2015 by U = 44 + 42 + 19 = 105 lakh

Total defective = [44*2.2/100 + 42*1.5/100 + 19*0.4/100] = 1.674 lakh

Required percentage = (1.674*100)/105 = 1.6% - Number of defective seat belts produced by company Q, R and T together in year 2013, find them all ?
1.704 lakh0.154 lakh2.993 lakh3.022 lakh2.504 lakhOption A

Required answer

= [33*14./100 + 36*1.9/100 + 31*1.8/100] = (0.462 + 0.684 + 0.558)

= 1.704 lakh - What is the ratio of the average production of company P to that of Q for all the given years ?
162:173161:178161:169158:173163:170Option B

Required ratio

= (28+32+24+22+30+25)/(18+26+23+33+38+40) = 161:178 - Find the percentage increase/decrease in total production by all companies together from 2010 to 2011?
15.57%10.23%17.52%13.70%11.77%Option E

Total production in 2011 = 32 + 26 + 31 + 34 + 26 + 38

= 187 lakh

Total production in 2012 = 24 + 23 + 28 + 23 + 35 + 32 = 165 lakh

% Decrement = [187 – 165]/187*100 = 11.77% - What was the average number of perfect seat belts produced by company S in 2012, 2013 and 2014 together?
25.03 lakh24.39 lakh21.55 lakh22.15 lakh20.35 lakhOption B

Required number

= [(23*99.2)/100 + (18*99.6)/100+ (33*98.2)/100]/3 lakh

= 24.39 lakh

**Directions(6-10):** Study the following table carefully to answer these questions.

Details of the seat belts produced by six different companies over the years.