Find the value of Sin²(57.37°)+ Sin²(32.63°) + cot²(65.43°). sec² (65.43°) – tan²(24.57°) (a) 0 (b) 1 (c) -1 (d) 2 Sol: sin²A + Sin²B = 1 [ when A + B = 90°] 1+cosec ²(65.43°) – cot²(65.43°) =1+1 =2
The average salary of all the employees in a company is Rs.14,000. The average salary of 5 technicians is Rs.18,000 and the average salary of the rest is Rs.13,200. The total number of employees in the company is. (a) 25 (b) 30 (c) 35 (d) 40 Sol: 140x=180×5+132(x-5) 140x=900+132x-660 8x=240 X=30
In a shop, a discount of 8% is provided. If the total payable after discount is more than 5,000 and additional discount of 20% is provided, then determine the final amount to be paid by customer. if he buys 12 products each of price 7750. (a) 6633 (b) 6624 (c) 6720 (d) 6890
A seller uses faulty weight in place of a 2 kg weight and earns a 25% profit. He claims that he is selling on the cost price in front of the customers but uses a faulty weight. How much error is there in the 2 kg weight to gain 25%? (a) 350 (b) 400 (c)
A cylindrical shaped roller has a diameter of 1.1 m. and length of 1.667m. if the speed at which the roller rolls is 10.5 revolutions per minute, then the maximum area (in m²) that it can role in an hour is (a) 3520 (b) 3740 (c) 3630 (d) 3850 Sol:
The number 79825x42y3 is divisible by 99. What is the geometric mean x and y? Sol: (24+y) – ( 16 + x ) → divisible by 11 (8 + y – x) ⇒ y – x = 3 or -8 (40 + x + y) → divisible by 9 ⇒ x + y = 5
The number 79825x42y3 is divisible by 99. What is the geometric mean x and y Read More »
Each consonant in the word TIRADES is replaced by the previous letter in the English alphabet and each vowel is replaced by the next letter in the English alphabet and the new letters are rearranged alphabetically. Which of the following will be the fourth from the right end? Sol: Alphabetically rearranged = B C F
If each consonant in the word ‘EXPLORATION’ is replaced by the previous alphabet and each vowel is replaced by the alphabet following it of the English alphabetic series and then the order of the alphabets thus formed is reversed which of the following will be the seventh from the right? Sol: New formation = F
If each of the alphabets of the word SALIENT is arranged in alphabetical order from left to right and then each vowel in the new word thus formed is changed to the previous letter in the English alphabetical series. Which of the following will be third from the left? Sol: Given Word= SALIENT Alphabetical order
If all the letters in the word MERCIFUL are rearranged in alphabetical order and substituted by the alphabet preceding them in the English alphabet. What will be the new arrangement of letters? BDEHLKQT BDHEKLQT BDEHKLQT BDEJMLQT Sol: MERCIFUL ⇒ After arranging in alphabetical order: CEFILMRU ⇒ After replacing alphabets with preceding alphabet: BDE HKLQT
