quantitative aptitude

The C.I of Rs. 32,000 in 9 months is Rs. 5044. If C.I is calculated quarterly find the rate per annum? (a)          10% (b)          50% (c)           20% (d)          40% Sol:

Income of a man is increased by 1800 and payable tax is decreased from 18% to 15% in both cases 29.95 income is tax free and he is paying same tax amount. Find initial income(in Rs.) (a)          9000 (b)          6000 (c)           5000 (d)          10000 Sol: If tax rate decreases from 18% to 15% Income should

A person cover a distance of 450 km partly by train and partly by car If he travels 100 km by train rest by car it-takes 8 hours and if he covers 170 by train and rest by car it takes him 8 hours 12 minute to cover that distance. Find the speed of train.

In a class, the average weight of 40 boys is 65 kg and that of 50 girls is 60 kg. After a few days, 40% of the girls and 50% of the boys leave. What would be the new weight of the class (in kg)? Assume that the average weight of the boys and the

Speed of boat in still water is 12 km/h and speed of stream is 4 km/h. The boat takes total 6 hours to go and come back, Find the length of river. (a)          23 km (b)          45 km (c)           32 km (d)          54 km Sol:

While tabulation of marks scored in an examination by the students of a class, by mistake the marks scored by one student got recorded as 93 in place of 63, and thereby the average marks increased by 0.5. What was the number of students in the class? (a) 20 (b) 60 (c) 30 (d) 15

LCM and HCF of two four digits number are 21527 and 103 find the sum of these two numbers? (a)          2884 (b)          2464 (c)           3129 (d)          3090 Sol: Numbers are 103x, 103y Numbers Sum of numbers 103(11 + 19) = 3090

If (a+b)=2,(b+c)=1, and (c+a)=3 then find a3+b3+c3 ? (a) 3 (b) 1 (c) 8 (d) 9 Sol: a + b = 2 b + c = 1 c + a = 3 (a + b + c) = 3 Cube both sides a³ + b³ + c³ + 3(a + b) (b + c) (c

The expression    is equal to (a)   –   –  (b)   –   +  (c)   –   –  (d) (  +   –             ) Sol: As we know (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Find the value of    if A + B + C = 0  (a)         ½ cosA cosB cosC (b)          ¼ secA secB secC (c)           ½ secA secB secC (d)          ½ secA cosB cosecC Sol: As we know that: tanA + tanB + tanC = tanA tanB tanC Sin2A + sin2B + sin2C = 4 sinA sinB