71
Q:

# If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and-stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?

 A) 80 B) 25 C) 24 D) 5

Explanation:

By the Given data , We have the expression:

20 + 8 - 8 ÷ 4 × 2 = 20 + 8 - 2 × 2 = 20 + 8 - 4 = 24.

Q:

Find the quadratic equations whose roots are the reciprocals of the roots of $\inline \fn_jvn \small 2x^{2}+5x+3=0$ ?

A)  $\fn_jvn \small 3x^{2}+5x+2=0$    B) $\fn_jvn \small 5x^{2}+3x+2 = 0$     C) $\fn_jvn \small 3x^{2}-5x-2=0$   D)  None

 A) A B) B C) C D) D

Explanation:

The quadratic equation whose roots are reciprocal of $\inline \fn_jvn \small 2x^{2}+5x+3=0$  can be obtained by replacing x by 1/x.

Hence, 2$\inline \fn_jvn \small \left ( \frac{1}{x}\right )^ {2}$ + 5(1/x) + 3 = 0

=> $\fn_jvn \small 3x^{2}+5x+2=0$

2 130
Q:

What should come in place of the question mark(?) in the following questions ?

$\inline \fn_jvn \small 3\tfrac{1}{6}+4\tfrac{1}{2}-2\tfrac{2}{3}-1\tfrac{11}{12}=?$

 A) 1 7/12 B) 1 5/12 C) 3 7/12 D) 3 1/12

Explanation:

? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12)

= 4 + ((2+6-8-11)/12)

= 4 - 11/12 = 3 1/12.

10 179
Q:

In a cricket match, five batsmen P, Q, R, S and T scored an average of 36 runs. S Scored 5 more than T; T scored 8 fewer than P; Q scored as many as S and T combined; and Q and R scored 107 between them. How many runs did T score ?

 A) 20 B) 29 C) 28 D) 24

Explanation:

Let the runs scored by P, Q, R, S and T be  a, b, c, d and e

From given data,

a + b + c + d + e = 36 x 5 = 180
b + c = 107
Let a = x
e = x-8
d = x-3
now 3x - 11 + 107 = 180
3x = 84
x = 28
e's score = 28-8 = 20

3 248
Q:

The value of -4-(-10) is how much greater then the value of -10-(-4) ?

 A) 10 B) 6 C) 12 D) 0

Explanation:

-4-(-10) = -4+10 = 6

-10-(-4) = -10+4= -6

$\therefore$  6-(-6) = 6+6 = 12

6 227
Q:

A sum of Rs.1890 has to be used to give 9 prizes to the customers of a super market for their overall academic purchases. If each prize is Rs.30 less than its preceding price, what is the least value of the price ?

 A) 90 B) 95 C) 85 D) 80

Explanation:

Let the least value of the prize = Rs. x
Then the next value of the prize is x+30 , x+60, x+90, ....x+240.
Given total amount of cash prizes = Rs.1890
$\Rightarrow$ x + (x+30) + (x+60) + (x+90) + ....+ (x+240) = 1890
$\Rightarrow$   9x + (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240) = 1890
$\Rightarrow$   9x + 30(1 + 2 + 3 + 4....+ 8) = 1890
$\Rightarrow$   9x + 30(36) = 1890
$\Rightarrow$  9x = 810 $\Rightarrow$ x=90
Hence the least value of the prize x=90